Effect of Temperature on Starch Decomposition to Optimize Mash Tun Operation for the Design of a Brewery Chemical Engineering Senior Design Spring 2011 Cynthia Brittany Beacham Raymond Joseph Filosa Jr. Mark Mathiew Williams Acknowledgments We would like to thank Dr. Ahbay Vaze, faculty and researcher of the Chemistry department for his patience and willingness to allow us almost unconditional use of his laboratory for running our tests. His contributions to our group played a significant role in the success of the analysis of our experiment. This project enabled two independent departments on campus, the Chemistry and the Chemicals, Materials, and Biomolecular Engineering departments to work together for the first time on a chemical engineering senior design project. We hope this positive experience will be the first of many in unifying engineering and nonengineering institutions on campus to enhance the education of all students. We would like to thank Dr. William E. Mustain whose willingness to support radical ideas procured the creation and success of this senior design project. The completion of this project marks the one and a half year anniversary when he was approached by two students who wanted to turn their beer brewing hobby into a scientific endeavor. His decision that day initiated a chain of events that led to the formation of a class, a complete laboratory, and a senior design project. Finally, we would like to thank the entire faculty of Department of Chemical, Materials & Biomolecular Engineering for the positive experience the last four years of undergraduate studies have been. 1|Page Table of Contents Table of Figures .............................................................................................................................. 4 List of Tables .................................................................................................................................. 6 Executive Summary ........................................................................................................................ 8 High Performance Liquid Chromatography Testing .................................................................... 10 Background and Purpose .......................................................................................................... 10 Experimental Procedure ........................................................................................................... 12 Results and Data Analysis ......................................................................................................... 15 Kinetic Model ............................................................................................................................... 26 Flow Sheet .................................................................................................................................... 33 Flow Sheet Description ............................................................................................................. 34 Silo ........................................................................................................................................ 34 Milling................................................................................................................................... 34 Mashing................................................................................................................................. 36 Wort Boiling ......................................................................................................................... 38 Heat Exchanger ..................................................................................................................... 40 Fermentation Tank ................................................................................................................ 42 Filter ...................................................................................................................................... 43 Brightening Tank .................................................................................................................. 44 Bottler/Labeler ...................................................................................................................... 45 Kegging Machine .................................................................................................................. 47 Hop / Refrigeration Room .................................................................................................... 48 Instant Hot Water Heater ...................................................................................................... 48 Steam Boiler.......................................................................................................................... 49 Chiller ................................................................................................................................... 49 Calculations................................................................................................................................... 50 Material Accounting .................................................................................................................. 50 Energy Requirements ................................................................................................................ 64 Aspen Model Flow Sheet .............................................................................................................. 76 Aspen Model Description.......................................................................................................... 78 2|Page Hazard and Operability Study....................................................................................................... 79 Environmental Impact Analysis .................................................................................................... 91 Expenses ....................................................................................................................................... 94 Batch Size Reduction ................................................................................................................ 94 Grain Pricing ............................................................................................................................. 95 Water Usage .............................................................................................................................. 96 Cleaning Materials .................................................................................................................... 97 Hop Pricing ............................................................................................................................... 99 Yeast Pricing ............................................................................................................................. 99 CO2 ............................................................................................................................................ 99 O2............................................................................................................................................. 100 Diatomaceous Earth ................................................................................................................ 101 General Waste Disposal .......................................................................................................... 101 Labor ....................................................................................................................................... 102 Profitability Analysis .................................................................................................................. 106 Distribution.............................................................................................................................. 106 Spent Grains ............................................................................................................................ 107 Economic Analysis .................................................................................................................. 109 Final Decision ............................................................................................................................. 114 Works Cited ................................................................................................................................ 116 Appendix – A: H.P.L.C. Data ..................................................................................................... 118 Appendix – B: Mathematica Code for Kinetic Model ................................................................ 137 Appendix – C: Malt Analysis Charts .......................................................................................... 149 Appendix – D: H.A.Z.O.P. Charts .............................................................................................. 150 Appendix – E: Environmental Concerns: Dust Regulations and Containment .......................... 176 Appendix – F: Profitability Excel Charts.................................................................................... 180 3|Page Table of Figures Figure 1: Representative Chromatogram for the 2500 ppm standard solution. ............................ 15 Figure 2: Stacked chromatograms of the five standard solutions tested. ...................................... 17 Figure 3: Compilation of multiple injections done throughout testing. ........................................ 19 Figure 4: Stacked chromatograms of all samples for the T=70C mash temperature. ................... 20 Figure 5: 70C Concentration of each sugar over the 60 minute mash time. ................................. 21 Figure 6: Stacked chromatograms of all samples for the T=63C mash temperature. ................... 22 Figure 7: Concentrations of each sugar at every time point over the 60 minute mash time. ........ 23 Figure 8: Stacked chromatograms of all samples at the T = 55C mash temperature.................... 24 Figure 9: Concentrations of each sugar at every time point over the 60 minute mash time ......... 25 Figure 10: Wort Carbohydrate Model @ 55 C ............................................................................. 29 Figure 11: Wort Carbohydrate Model @ 70 C ............................................................................. 30 Figure 12: Wort Carbohydrate Model @ 63 C ............................................................................. 30 Figure 13: Mash Temp 55 C - Experimental vs. Modeled ........................................................... 31 Figure 14: Mash Temp 63 C - Experimental vs. Modeled ........................................................... 31 Figure 15: Mash Temp 70 C - Experimental vs. Modeled ........................................................... 32 Figure 16: Flow Sheet of Brewery ................................................................................................ 33 Figure 17: Energy requirement difference for each experimental mash temperature, per batch. . 75 Figure 18: Aspen Flow Sheet ........................................................................................................ 76 Figure 19: Silo and Auger Conveyer ............................................................................................ 79 Figure 20: Diagram of Grain Mill. ................................................................................................ 80 Figure 21: Diagram of Mash Tun. The outer lines depict the insulation. ..................................... 81 Figure 22: Diagram of the Boiling Kettle. The outer vessel is the steam jacket. ......................... 82 Figure 23: Diagram of the Heat Exchanger. ................................................................................. 83 Figure 24: Diagram of the Fermentation Tank. The outer vessel is the jacketed for cooling. ..... 84 Figure 25: Diagram of the Filter. .................................................................................................. 85 Figure 26: Diagram of the Brightening Tank. .............................................................................. 86 Figure 27: Block Diagram for the Bottle/Labeler, Keg Filler, and In House Kegs. ..................... 87 Figure 28: Block Diagram of the Steam Generator. ..................................................................... 88 Figure 29: Diagram of the Instant Hot Water Heater. .................................................................. 89 Figure 30: Diagram of the Cooling Unit. ...................................................................................... 89 Figure 31: Diatomaceous Earth .................................................................................................... 91 Figure 32: Labor Distribution Tree ............................................................................................. 102 Figure 33: Bottle Label Design ................................................................................................... 115 Figure 34: Fructose calibration curve from Standard Solution Injections .................................. 118 Figure 35: Dextrose calibration curve from Standard Solution Injections ................................. 118 Figure 36: Sucrose calibration curve from Standard Solution Injections ................................... 119 Figure 37: Maltose calibration curve from Standard Solution Injections ................................... 119 Figure 38. Maltotriose calibration curve from Standard Solution Injections ............................. 120 4|Page Figure 39. Maltotetraose calibration curve from Standard Solution Injections .......................... 120 Figure 40. Dextrose concentration profile over 60 minute mashing time for T = 70 C ............. 125 Figure 41. Sucrose concentration profile over 60 minute mashing time for T = 70 C ............... 125 Figure 42. Maltose concentration profile over 60 minute mashing time for T = 70 C ............... 126 Figure 43. Maltotriose concentration profile over 60 minute mashing time for T = 70 C ......... 126 Figure 44. Maltotatraose concentration profile over 60 minute mashing time for T = 70 C ...... 127 Figure 45. Dextrose concentration profile over 60 minute mashing time for T = 63 C ............. 130 Figure 46. Maltose concentration profile over 60 minute mashing time for T = 63 C ............... 130 Figure 47. Maltotriose concentration profile over 60 minute mashing time for T = 63 C ......... 131 Figure 48. Maltotetraose concentration profile over 60 minute mashing time for T = 63 C ...... 131 Figure 49. Fructose concentration profile over 60 minute mashing time for T = 55 C .............. 134 Figure 50. Dextrose concentration profile over 60 minute mashing time for T = 55 C ............. 134 Figure 51. Sucrose concentration profile over 60 minute mashing time for T = 55 C ............... 135 Figure 52. Maltose concentration profile over 60 minute mashing time for T = 55 C ............... 135 Figure 53. Maltotriose concentration profile over 60 minute mashing time for T = 55 C ......... 136 Figure 54. Maltotetraose concentration profile over 60 minute mashing time for T = 55 C ...... 136 5|Page List of Tables Table 1: Method Developed for HPLC Analysis of Sugars in Wort. ........................................... 14 Table 2: Integration Events Table for Analyzing Analog Peaks. ................................................ 16 Table 3: Calibration Curve Expressions from Known Standard Concentrations ......................... 18 Table 4: Model Stoichiometry ...................................................................................................... 27 Table 5: Grain and Hop Bill.......................................................................................................... 51 Table 6: Points Per Grain .............................................................................................................. 52 Table 7: Grain Required and Extraction Percentages ................................................................... 53 Table 8: Mass Balance - Mash Tun .............................................................................................. 55 Table 9: Mass Balance - Boiling Kettle ........................................................................................ 57 Table 10: Mass Balance - Aeration ............................................................................................... 59 Table 11: Mass Balance - Fermentation ....................................................................................... 61 Table 12: Mass Balance - Filtration .............................................................................................. 61 Table 13: Energy Calculations for the Mill and Auger Conveyers. ............................................. 65 Table 14: Energy Calculations for the Hot Water Heater and Pump. ........................................... 67 Table 15: Energy Calculations for Mash Tun and Mash Pump. ................................................... 68 Table 16: Energy Calculations for the Boiling Kettle, Whirlpool Pump, and Outlet Pump......... 71 Table 17: Energy Calculations for the Heat Exchanger and Pump .............................................. 72 Table 18: Energy Calculations for the Fermentation Tank and Pump.......................................... 74 Table 19. Comparative Energy Consumption in kW for the Three Tested Mash Temperatures. 75 Table 20: Price of Water Used in the Brewery for Each Batch and for Each Month. .................. 96 Table 21: Break Down of Cleaning Water per Batch. .................................................................. 98 Table 22: Product Distribution.................................................................................................... 107 Table 23: Essential Equipment, Capital Costs, and Manufacturers. ........................................... 110 Table 24: Raw Materials and Respective Manufacturer and Prices. .......................................... 111 Table 25: Utilities used, Respective Providers, and Pricing. ...................................................... 112 Table 26: Energy Costs for Each Piece of Equipment. ............................................................... 113 Table 27. Sequence Run for All Trials at All Temperatures ...................................................... 121 Table 28. Summary of all peak areas for each sample of the T=70C mashing temperature. ..... 122 Table 29. Summary of all peak areas for each sample of the T=63C mashing temperature. ..... 127 Table 30. Summary of all peak areas for each sample of the T=55C mashing temperature. ..... 132 Table 31: HAZOP - Process Component: Silo and Mechanical Screw Auger ........................... 150 Table 32: HAZOP - Process Component: Grain Mill ................................................................. 151 Table 33: HAZOP - Process Component: Mash Tun ................................................................. 152 Table 34: HAZOP - Process Component: Boiling Kettle ........................................................... 154 Table 35: HAZOP - Process Component: Heat Exchanger ........................................................ 157 Table 36: HAZOP - Process Component: Primary Fermenter ................................................... 158 Table 37: HAZOP - Process Component: Filter ......................................................................... 160 Table 38: HAZOP - Process Component: Brightening Tank ..................................................... 162 6|Page Table 39: HAZOP - Process Component: Keg Filler ................................................................. 165 Table 40: HAZOP - Process Component: Bottler/Labeler ......................................................... 167 Table 41: HAZOP - Process Component: In House Kegs .......................................................... 169 Table 42: HAZOP - Process Component: Steam Generator ....................................................... 171 Table 43: HAZOP - Process Component: Instant Water Heater ................................................ 172 Table 44: HAZOP - Process Component: Cooling Unit ............................................................. 174 7|Page Executive Summary The optimization of the brewing process has been sought after since beer was first created. In this particular case, beer brewing optimization was investigated in terms of several different factors. The main goal of this analysis was to investigate the effects of varying mash temperatures on finished beer quality. The brewery that was developed in this analysis was decided to be built in Storrs, CT. This highly populated college town is a premier location to start a brewery for many reasons. The main reason for this choice of location was that there are an endless amount of consumers present creating and endless market. The beer that was chosen to be created for the purpose of this analysis was a variation of pale ale. Using a recipe, three different batches were created at three different mash temperatures of 55°C, 62.5°C, and 70°C. Samples were taken over time for each temperature and the sugar profiles were examined using high-performance liquid chromatography (HPLC). The HPLC results were then used in order to make create a kinetic model to investigate the effects mash temperature had on sugar profiles as well as finished product quality. The highest quality beer was produced at a mash temperature of 70°C and as confirmed with experimental tasting. A theoretical flow sheet was created for this brewery and mass and energy balances were calculated to ensure the flow sheet design was realistic. In order to insure that the safety and engineering in this process was thorough, a HAZOP analysis was performed on all components in the flow sheet. Also, in order to make sure that all solid and liquid waste leaving this brewery was safe an environmental impact analysis was performed. The amount of batches that would be brewed per week was also investigated and optimized. A brewing schedule of two days a week with two batches a day was compared with a 8|Page schedule of four days a week with one batch a day. It was seen that brewing four days a week used 50% of the energy required to brew two days a week and was the method that would be used for this brewery. All expenses of the brewery were calculated for the sake of a profitability analysis. Using a profitability model, it was calculated that the payback period for this particular brewery is 1.8 years. This payback period is very low for a new company and therefore suggests that this brewery overall would be a sound business investment. 9|Page High Performance Liquid Chromatography Testing Background and Purpose Developing a kinetic model to predict the fermentable sugar profiles required experimental data for determination of the kinetic constants. High Performance Liquid Chromatography (HPLC) was chosen as the method to measure the sugar concentrations as a function of time and temperature in order to calculate the k values for each sugar profile change throughout the mashing process. Liquid chromatography involves a column that has a specific packing material, called the stationary phase, to bind the solutes in a solution. The mobile phase is a buffer solution prepared to flow through the column and force the solutes to elute from the column at different times based on their size and molecular interaction with the stationary phase. The eluted solutes flow to a detection unit, such as refractive index, UV-Vis, or fluorescence detector, which determines the amount of each component in solution based on light absorption or distortion. The representative chromatogram from the detector displays peaks corresponding to the level of absorption (in mVolts) of the sample at an elution time (termed the retention time) that is specific to that component under the running conditions. Two mechanisms of liquid chromatography are commonly used and they differ by the polarity of the stationary and mobile phases. Normal Phase HPLC uses a stationary phase that is more polar than the solvent and the driving force behind adsorption to the column is hydrogen bonding. High salt buffers are typically used to compete with the solutes for binding on the column and cause elution based on molecular size and decreasing hydrophobicity. Reverse phase HPLC is performed with a nonpolar stationary phase and more polar mobile phase. Solute retention on the column is due to hydrophobic interactions with the stationary phase. Components elute based on polarity and size; the polar molecules eluting first from smallest size 10 | P a g e (and therefore the smallest interaction area) to the largest followed by the nonpolar solutes in increasing size (Swadesh, 2001).Reverse phase HPLC was used in this experiment with a 75% acetonitrile solution as the mobile phase and an amine packing for a stationary phase. The organic acetonitrile allowed the sugars to bind to the column, while the water entering the column over the course of the run (as 25% of the buffer solution) competed with the solutes to elute the component sugars based on molecular size. The methods of solute detection mentioned previously all involve the absorption or distortion of light. Refractive index detectors measure the bending of a ray of light passing through two mediums. The mobile phase is injected into the reference cell of the detector to eliminate any noise from the dilution buffer. The light passing through the buffer (or the normal) is bent by a measurable angle, called the angle of refraction, when passed from the normal to the sample medium (Britannica, 2011). As the concentration of the solute increases in solution, the angle of refraction proportionally increases as indicated by the peaks of the chromatogram. UVVis spectroscopy detection measures the attenuation of a light beam by the sample (Ultraviolet and Visible Absorption Spectroscopy (UV-Vis), 2000). Wavelengths are specified for absorption measurements within the 400-750nm UV-Vis range. These wavelengths induce excitation of the outer electrons which causes energy absorption. This absorption (of light) corresponds to the peaks on the chromatogram and is proportional to the concentration of solute in the sample (UVVis Absorption Spectroscopy). Fluorescence detection sends ultraviolet light through the sample which excites the electrons of lower energy molecules which results in the emission of light, an event termed photoluminescence (UV-Vis Absorption Spectroscopy). The level of fluorescence is measured by the detector and peaks corresponding to the sample concentration are recorded on the chromatogram. The method of detection used in this experiment was refractive index. Sugars 11 | P a g e do not easily fluoresce and would require chemical labeling with fluorescent tags to produce conclusive data. Sugars are also not detected as well with UV-Vis spectroscopy, therefore refractive index was used to measure the sugar profiles in the wort. Experimental Procedure The six sugars in the wort that were monitored during mashing, in order of increasing molecular size, were fructose, dextrose, sucrose, maltose, maltotriose, and maltotetraose. Three temperatures (70oC, 63oC, and 55oC) were chosen as the variables for the mashing process. The grains for the recipe were milled and added to 7 liters of water that was brought to the respective temperature and maintained using a heating coil and temperature controlled water bath. Starting at t=0 minutes, 15 mL samples of the mash were taken every 5 minutes and added to 1 mL of 0.1M ammonium hydroxide (NH4OH) to quench the enzymatic reactions breaking down the starches into simple sugars. The quenched samples (taken up to t=60 min) were immediately placed in an ice bath to deactivate any enzymes that may have still been active after the caustic addition. The samples from the three temperature trials were centrifuged for 30 minutes at approximately 1500-2000 RPM and the supernatant transferred to clean vials. The pH of every sample was recorded and 1M sodium hydroxide was added to bring the samples to pH 6.8. Each sample was diluted 100x to prevent any possibility of clogging the column. The solutions were then filtered through 0.45µm syringe filters into HPLC vials to be injected onto the column. Before the experiment samples could be run, a calibration curve had to be developed for each sugar. Standard solutions of known composition and concentration were prepared for the six sugars and run on the Shimadzu liquid chromatograph in order to determine the retention 12 | P a g e times of each component and the corresponding absorption reading. The standard solutions of each sugar were then mixed together at different concentrations from 500 ppm to 2500 ppm and run to ensure separation of the sugars was achieved as indicated by distinct peaks on the chromatogram. The standard calibration curve is shown in Figure 1. It can be seen that each sugar was separated by the sharp peaks and the baseline returning to zero in between each peak. The standard solutions were injected in triplicate to ensure the precision of the linear fits. Once the calibration was complete, each sample was run using a method developed for the standard solutions to achieve the best resolution and separation of the sugars. The method is outlined in Table 1. The sequence of the injections is shown in Table 28 in Appendix 1. A 2500 ppm standard solution was injected before each temperature block of samples to observe any retention time shifts that could have been caused by residue on the column, shown in Figure 1. All of the standard solutions were injected at a runtime of 90 minutes to ensure adequate time for the maltotetraose, the largest molecule tested, to elute. Maltotetraose eluted around 43 minutes allowing the runtime to be shortened to 55 minutes. The oven temperature was set at 35°C to increase the solubility of the sugars and shorten the retention time of each solute. The sample was diluted 100x so that it was more easily filtered through the 0.45μm syringe filter. The sugar analysis column was donated by Kromasil for this analysis. 13 | P a g e Table 1: Method Developed for HPLC Analysis of Sugars in Wort. Item Description/Operating Conditions Akzo Nobel Kromasil 100 Å, 5 μm, NH2, 4.6 × Column 250 mm Mobile Phase 75% Acetonitrile Time Program Isocratic Method Time (minutes) Flow Rate 0.01 Operation 55.01 Controller Start 1.00 mL/min Controller Stop Detection Refractive Index Sample Dilution 100x Sample pH ~ Autosampler Temperature 25 °C Column Oven Temperature 35 °C Run Time 55 minutes 6.8 14 | P a g e Results and Data Analysis A representative chromatogram for the 2500 ppm standard solution is shown in Figure 1. It can be seen that fructose elutes first at 8 minutes followed by the order of increasing molecular size sugars with maltotriose eluting around 25 minutes. This method is not extremely selective for maltotetraose, the signal from RI detection is weak, but the peaks were significant enough to be integrated and a trend determined for each of the three temperature batches. The peak for each sugar is sharp and distinct indicating adequate separation of the sugars on the column with the chosen flow rate, buffer composition, and column temperature. Analog - Analog Board 2 Sugar Standard Solution 2500 ppm 65 Area 65 55 50 50 45 45 40 40 Maltotetraose mVolts 30 25 20 3246 9654 2086 15 3248 17261 28162 3654 16352 797 3029 778 483 390 1085 242 4546 9230 929 2856 10092 Maltose 8050 3929 3276 2284 15 10 35 253127 20 279009 223768 25 330348 30 264969 mVolts 35 Maltotriose 55 Sucrose 60 Fructose Dextrose 60 10 5 5 0 0 -5 -5 -10 0.0 -10 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 Minutes Figure 1: Representative Chromatogram for the 2500 ppm standard solution. The stacked chromatograms for the standard solutions of varying concentrations are shown in the Figure 2. The peaks were integrated using the Shimadzu software to calculate the 15 | P a g e area of each peak. The areas were graphed versus concentration to obtain equations for each sugar. These equations were used to determine the unknown concentrations of the sugars in the samples based on the calculated area. The integration events developed for the method are shown in Table 2. The calibration equations for the sugars are shown in Table 3 and the calibration curves for each sugar are shown in Appendix – A: H.P.L.C. Data. Table 2: Integration Events Table for Analyzing Analog Peaks. Integration Events Channel Analog Enabled Event Type Start (Min) Stop (Min) Value Yes Integration Off 0 6 0 Yes Threshold 6 30 100 Yes Width 6 30 0.2 Yes Integration Off 30 40 0 Yes Width 42 45 0.3 Yes Threshold 42 45 50 Yes Integration Off 48 60 0 No Manual Baseline 22.2 24.2 0 The manual baseline was added to some samples that showed low concentration and signal for maltotriose. The chromatograms were analyzed and if a peak too small to overcome the integration threshold was visible, the manual baseline was used. 16 | P a g e Analog - Analog Board 2 Sugar Standard Solution 500 ppm Analog - Analog Board 2 Sugar Standard Solution 1000 ppm Analog - Analog Board 2 Suger Standard 1500 ppm Analog - Analog Board 2 Sugar Standard Solution 2000 ppm Analog - Analog Board 2 Sugar Standard Solution 2500 ppm 55 55 50 50 45 45 2500 ppm 40 40 35 35 2000 ppm 30 mVolts mVolts 30 25 25 1500 ppm 20 20 1000 ppm 15 15 10 10 500 ppm 5 5 0 0 -5 -5 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 Minutes Figure 2: Stacked chromatograms of the five standard solutions tested. The peaks for each sugar grow with each increasing concentration of the standard solution. This verifies that the column and detector are sensitive to concentration differences and low concentrations of 500 ppm are detectable. The peak areas were graphed versus the known concentrations of the solutions to obtain the calibration curves for each sugar. The equations listed in Table 3 show a linear fit for each sample. 17 | P a g e Table 3: Calibration Curve Expressions from Known Standard Concentrations Calibration Expressions for Sugars Sugar y variable x variable Calibration Line Equation Fructose Peak Area ppm y = 105.68x + 19327 Dextrose Peak Area ppm y = 83.379x + 477.5 Sucrose Peak Area ppm y = 121.37x + 15671 Maltose Peak Area ppm y = 108.34x - 8671.2 Maltotriose Peak Area ppm y = 103.84x - 12110 Maltotetraose Peak Area ppm y = 26.747x - 5833.2 The sequence of runs for this experiment was organized in order of sample time for each temperature. Before starting the sample injections, the 2500 ppm standard solution was injected to verify there was nothing skewing the data such as clogs in the column, buildup on the column, or instability of the RI detector. The standard was also injected in between each temperature block of samples. The chromatograms are overlaid in Figure 3 in order to observe the baseline, peak area, and retention time changes. Multiple injections of the standard solutions over the course of the testing were done to test for reproducibility and system stability. 18 | P a g e Analog - Analog Board 2 Standard 2500 ppm Analog - Analog Board 2 Standard 2500 ppm 120 120 110 110 100 100 90 90 mVolts mVolts Analog - Analog Board 2 Standard 2500 ppm 3rd injection - Before 55C Samples 80 80 2nd injection - Before 63C Samples 70 70 1st injection - Before 70C Samples 60 60 50 50 40 40 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 Minutes Figure 3: Compilation of multiple injections done throughout testing. It can be seen from Figure 3 that there was a slight shift in retention time over the course of the sequence, having the most significant impact on maltotriose. The retention time for maltotriose shifted from around 23 minutes to 21 minutes. This is not detrimental to the experiment because it does not interfere with any other retention times of the sugars. The peak heights of the three injections are consistent except for maltotetraose. As mentioned previously, this method was not very selective for maltotetraose, explaining why the data for this sugar is inconsistent. The stacked chromatograms of all the samples at a mash temperature of T= 70 °C is shown in Figure 4. The 25 minute sample was considered an outlier because the peaks were undetectable and inconsistent with the trend noticed between all other trials. It can be seen that 19 | P a g e the peak for dextrose grows over the 60 minute mashing time, as well as maltotriose. The growth in peak height of maltose is less significant in the chromatogram; however the peak areas show significant increases between trials. The peak areas for each trial are shown in the Area % Reports in Appendix 1. The areas were plugged into the calibration equations for their respective sugar and the corresponding concentrations were calculated. The concentration changes of each sugar over the 60 minute mash time are plotted altogether in Figure 5 and individually in Figure 40 through Figure 44 in Appendix – A: H.P.L.C. Data. The plot for fructose is not included Analog - Analog Board 2 70C t=15 Analog - Analog Board 2 70C t=20 Analog - Analog Board 2 70C t=30 Analog - Analog Board 2 70C t=35 Analog - Analog Board 2 70C t=40 Maltotetraose 60 Sucrose Fructose Dextrose 65 Analog - Analog Board 2 70C t=10 Maltotriose Analog - Analog Board 2 70C t=5 Maltose because the concentrations were undetectable. 65 60 t = 60 min 55 t = 55 min 50 50 t = 50 min 45 40 t = 45 min 40 t = 40 min 30 35 mVolts mVolts 55 45 35 mVolts Analog - Analog Board 2 70C t=45 30 t = 35 min 25 25 t = 30 min 20 20 15 t = 20 min 10 t = 15 min t = 10 min 5 0 t = 5 min -5 15 10 5 0 -5 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 Minutes 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 Minutes Figure 4: Stacked chromatograms of all samples for the T=70C mash temperature. 20 | P a g e Analog - Analog Boa 70C t=50 T = 70 C Sugar Profile 3.00E+05 2.50E+05 ppm 2.00E+05 1.50E+05 1.00E+05 5.00E+04 0.00E+00 0 10 20 30 40 50 60 Time (Min) Maltose Maltotetraose Dextrose Maltotriose Sucrose Figure 5: 70C Concentration of each sugar over the 60 minute mash time. It can be seen that the trend for each sugar is increasing from the initial sample at t=0 minutes to the final sample at the completion of the mash at t=60 minutes. There is a strong correlation between the maltose, maltotriose, and maltotetraose profiles, as the maltotetraose decreased between t= 30 minutes to t = 40 minutes, there is a sharp increase in the maltose and maltotriose concentrations. Maltotetraose breaks down into maltose and maltotriose which explains the strong dependence on each other for overall concentration and sugar profile. The stacked chromatograms of all the samples at a mash temperature of T= 63 °C are shown in Figure 6. The 55 minute sample was not included in the plot because the peaks were undetectable and inconsistent with the trend noticed between all other trials. It can be seen that the peaks for dextrose, fructose, and maltose grow significantly over the 60 minute mashing time. The chromatograms do not show significant peaks for maltotriose in any of the samples, but the area percents were calculated during integration and a trend observed over the mashing time. The peak areas for each trial are shown in the Area % Reports in Appendix – A: H.P.L.C. 21 | P a g e Data. The areas were plugged into the calibration equations for their respective sugar and the corresponding concentrations were calculated. The concentration changes of each sugar over the 60 minute mash time are plotted altogether in Figure 7 and individually in Figure 45 through Figure 48 in Appendix – A: H.P.L.C. Data. The plots for fructose and sucrose were not included because their concentrations were undetectable. Analog - Analog Board 2 63C t=15 Analog - Analog Board 2 63C t=20 Analog - Analog Board 2 63C t=25 Analog - Analog Board 2 63C t=30 Maltotetraose Analog - Analog Board 2 63C t=10 Maltotriose Sucrose 110 Maltose Analog - Analog Board 2 63C t=5 Fructose Dextrose Analog - Analog Board 2 63C t=0 120 Analog - Analog Board 2 63C t=35 120 110 t = 60 min t = 50 min t = 45 min t = 40 min 100 90 100 90 80 mVolts mVolts t = 35 min t = 30 min 80 t = 25 min 70 70 t = 20 min t = 15 min 60 t = 10 min t = 5 min t = 0 min 50 40 0.0 60 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 50 40 55.0 Minutes Figure 6: Stacked chromatograms of all samples for the T=63C mash temperature. 22 | P a g e Analog - Analog 63C t=45 ppm T = 63 C Sugar Profile 4.5E+05 4.0E+05 3.5E+05 3.0E+05 2.5E+05 2.0E+05 1.5E+05 1.0E+05 5.0E+04 0.0E+00 0 10 20 30 40 50 60 Time (Minutes) Dextrose Maltose Maltotriose Maltotetraose Figure 7: Concentrations of each sugar at every time point over the 60 minute mash time. The trend for each sugar shows steady increase over the mashing time. There is less of a drastic correlation for the maltose, maltotriose, and maltotetraose profiles at this temperature. It appears that there is more of a steady production of each sugar. There is a decrease in maltotetraose between t = 35 minutes to t = 55 minutes with a corresponding increase in maltotriose and maltose, however the changes over time are much less extreme than in the 70°C samples. The stacked chromatograms of all the samples at a mash temperature of T= 55 °C are shown in Figure 8. The 45 minute sample was not included in the plot because the peaks were undetectable and inconsistent with the trend noticed between all other trials. It can be seen that the peaks for dextrose, fructose, and maltose grow significantly over the 60 minute mashing 23 | P a g e time. The chromatograms do not show significant peaks for maltotriose in any of the samples, but the area percents were calculated during integration and a trend observed the mashing time. The peak areas for each trial are shown in the Area % Reports in Appendix 1. The areas were plugged into the calibration equations for their respective sugar and the corresponding concentrations were calculated. The concentration changes of each sugar over the 60 minute mash time are plotted altogether in Figure 9 and individually in Figure 49 through Figure 54 in Appendix – A: H.P.L.C. Data. The plot for maltotriose was not include because the data was Analog - Analog Board 2 55C t=20 Analog - Analog Board 2 55C t=25 Analog - Analog Board 2 55C t=30 120 Analog - Analog Board 2 55C t=35 Analog - Analog Board 2 55C t=5 Maltotetraose 110 Analog - Analog Board 2 55C t=15 Maltotriose 115 Analog - Analog Board 2 55C t=10 Sucrose Analog - Analog Board 2 55C t=0 Fructose Dextrose 120 Maltose inconclusive. 115 110 t = 60 min t = 55 min t = 50 min 105 100 105 100 95 95 t = 40 min 90 t = 35 min t = 30 min t = 25 min t = 20 min t = 15 min t = 10 min t = 5 min 80 75 70 65 60 85 mVolts 85 mVolts 90 80 75 70 65 60 55 55 t = 0 min 50 50 45 40 0.0 45 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 40 55.0 Minutes Figure 8: Stacked chromatograms of all samples at the T = 55C mash temperature. 24 | P a g e Analog - Analog Board 2 55C t=40 An 55 T = 55C Sugar Profile 3.5E+05 3.0E+05 ppm 2.5E+05 2.0E+05 1.5E+05 1.0E+05 5.0E+04 0.0E+00 0 Dextrose 10 Fructose 20 30 40 Time (Minutes) Maltose Sucrose 50 60 Maltotetraose Figure 9: Concentrations of each sugar at every time point over the 60 minute mash time The sugar concentrations in this sample are significantly lower than the other two temperature trials. The peak maltose concentration occurred at t = 60 with a value of about 3.0E+05 ppm, but all time points before that show a peak concentration that is seen in the other samples at the 10 minute sample. Therefore, there are far less fermentable sugars present in this sample than the other two wort samples. The other two samples show that maltose is present in much greater concentration than any other sugars in solution, but the T = 55C data shows comparable concentrations of maltose and dextrose. The T = 63C data shows the greatest concentration of maltose at the final mashing time, but much lower concentration of the other fermentable sugars. The concentration of maltotetraose (un-fermentable sugar) in the T = 63C and the T = 70C samples is approximately the same and the concentrations of fermentable sugars are comparable as well. 25 | P a g e Kinetic Model The degradation of starch is a complex bio-molecular reaction involving hundreds if not thousands of interactions between molecules. In order to model the different sugar profiles formed for different mash temperatures it was necessary to make some simplifications and define reaction stoichiometry. The starch in malted barley comes in two forms, amylose and amylopectin. Both of these molecules consist of thousands of glucose monosaccharides tied together end to end via alpha(1,4) and alpha(1,6)bonds glycosidic bonds. During the mash several enzymes bind to different parts of the polymer starches to break bonds into smaller oligosaccharides. In general mono, di, and some tri-saccharides are the sugars that yeast can ferment and sugars longer in chain length contribute body and sweet flavors to the beer. Two enzymes that are most prevent in forming the final sugar profile are beta and alpha amylase. Mashing temperatures reflect conditions that allow these enzymes the optimal conditions to break down starch. Beta amylase works by cleaving two glucose units from amylose and amylopectin ends, leaving behind maltose sugars. Alpha amylase is less selective in where it can bind to starch and cleaves it chains wherever it may land. At temperatures of between 55 and 65 °C beta amylase activity is favored and the resulting sugar profile tends to lead to a beer that is more fermentable, yielding a dryer more alcoholic beer with a pronounced malt taste. Temperatures between 60 and 70 °C are optimal for alpha amylase activity and the resulting sugar profile provides a beer that has a thicker mouth feel, less alcohol, but deeper flavor. The interplay between these two enzymes has the potential to allow one recipe the ability to create a lighter more alcoholic beer or one with more depth and 26 | P a g e flavor. From the perspective of a brewery it is important to try and optimize conditions to create a beer that yields the flavor and style desired and expected of that brewery. An interplay may exist between the energy cost of mashing at a higher temperature and the return from providing a beer that people consider premium, and are willing to pay premium price for. To develop a model, 1st order reaction kinetics were assumed, meaning that the formation of sugars would be assumed to be influenced by the concentration of other sugars. This was done due to the limited testing equipment and time. The availability of the HPLC machine allowed for the measurements of the formations of sugars over the course of the mashing. Table 4 describes the stoichiometry assumed: Table 4: Model Stoichiometry 1 1 2 1 3 1 4 1 5 1 [S] → 1800/B [HOS] k8 [HOS] → H/12 [1] k1 [HOS] → k2 [HOS] → k3 [HOS] → k4 Where; H/6 [2] H/4 [3] H/3 [4] 1800 𝐵 =𝐻 Amylose was assumed to be 1800 glucose units long and B and H represent unknown coefficients for the higher order sugars and the resulting decomposition of these sugars into glucose, maltose, maltotriose, maltotetraose constituents. From these stoichiometric expressions rates and rate laws were defined: 27 | P a g e Rates: 𝑟8 = 𝑘8 [𝑆] 𝑟4 = 𝑘4 [𝐻𝑂𝑆] 𝑟3 = 𝑘3 [𝐻𝑂𝑆] 𝑟2 = 𝑘2 [𝐻𝑂𝑆] 𝑟1 = 𝑘1 [𝐻𝑂𝑆] Rate Laws: 𝑟𝑠𝑡𝑎𝑟𝑐ℎ = −𝑟8 𝑑[𝑆] = −𝑘8 [𝑆] 𝑑𝑡 𝑟𝐻.𝑂.𝑆𝑢𝑔𝑎𝑟𝑠 = 𝑟𝐻.𝑂.𝑆𝑢𝑔𝑎𝑟𝑠 = 1800 𝐻 𝐻 𝐻 𝐻 𝑟8 − 𝑟4 − 𝑟3 − 𝑟2 − 𝑟1 𝐵 4 3 2 1 𝑑[𝐻𝑂𝑆] 1800 𝐻 𝐻 𝐻 = 𝑘8 [𝑆] − 𝑘4 [𝐻𝑂𝑆] − 𝑘3 [𝐻𝑂𝑆] − 𝑘2 [𝐻𝑂𝑆] − 𝐻𝑘1 [𝐻𝑂𝑆] = 𝑑𝑡 𝐵 4 3 2 𝑟𝑚𝑎𝑙𝑡𝑜𝑡𝑒𝑡𝑟𝑎𝑜𝑠𝑒 = 𝑟𝑚𝑎𝑙𝑡𝑜𝑡𝑟𝑖𝑜𝑠𝑒 = 𝐻 𝑑[4] 𝐻 𝑟4 = = 𝑘4 [𝐻𝑂𝑆] 3 𝑑𝑡 4 𝐻 𝑑[3] 𝐻 𝑟3 = = 𝑘3 [𝐻𝑂𝑆] 4 𝑑𝑡 3 𝑟𝑚𝑎𝑙𝑡𝑜𝑡𝑒𝑡𝑟𝑎𝑜𝑠𝑒 = 𝐻 𝑑[2] 𝐻 𝑟2 = = 𝑘2 [𝐻𝑂𝑆] 6 𝑑𝑡 2 𝑟𝑚𝑎𝑙𝑡𝑜𝑡𝑒𝑡𝑟𝑎𝑜𝑠𝑒 = 𝐻 𝑑[1] 𝑟1 = = 𝐻𝑘1 [𝐻𝑂𝑆] 12 𝑑𝑡 28 | P a g e The rate laws were typed into mathematic, Appendix – B: Mathematica Code for Kinetic Model, and set up to be solved as a system of differential equations. Empirical rate constants from the HPLC results were plugged in for each of the temperatures and a module was written to minimize the sum of squares of the final concentrations of all of the measured sugars. The stoichiometric coefficient, B, for higher order sugars was cycled through by Mathematica algorithms to bring the final concentrations of the model as close as possible to the empirical results. The results for each system were plotted and are shown in Figure 10, Figure 12, and Figure 11. Black lines depict the starch being decomposed; orange lines depict the formation of higher order sugars; red the formation of maltotetraose, cyan the maltotriose, green the maltose and blue the glucose. Wort Carbohydrate P rofile 55 Celsius 1.4 Concentration molL 1.2 1.0 0.8 0.6 0.4 0.2 0.0 0 500 1000 1500 2000 2500 3000 3500 Time Seconds Figure 10: Wort Carbohydrate Model @ 55 C 29 | P a g e Wort Carbohydrate P rofile 63 Celsius Concentration molL 1.5 1.0 0.5 0.0 0 500 1000 1500 2000 2500 3000 3500 3000 3500 Time Seconds Figure 12: Wort Carbohydrate Model @ 63 C Wort Carbohydrate P rofile 70 Celsius 1.4 Concentration molL 1.2 1.0 0.8 0.6 0.4 0.2 0.0 0 500 1000 1500 2000 2500 Time Seconds Figure 11: Wort Carbohydrate Model @ 70 C 30 | P a g e A comparison of the end concentrations of each of the sugars experimentally and for the model are presented in Figure 10, Figure 12, and Figure 11 1.0000 0.9000 0.8000 mol/lit 0.7000 0.6000 0.5000 0.4000 0.3000 0.2000 0.1000 0.0000 1 2 3 4 Sugar Units Figure 13: Mash Temp 55 C - Experimental vs. Modeled 1.4000 1.2000 mol/lit 1.0000 0.8000 0.6000 0.4000 0.2000 0.0000 1 2 3 4 Sugar Units Figure 14: Mash Temp 63 C - Experimental vs. Modeled 31 | P a g e 0.8000 0.7000 0.6000 mol/lit 0.5000 0.4000 0.3000 0.2000 0.1000 0.0000 1 2 3 4 Sugar Units Figure 15: Mash Temp 70 C - Experimental vs. Modeled From these results it is clear that the developed model has inaccuracies in predicting some of the sugar profiles. Interestingly the predictability of glucose and maltose concentrations were fairly accurate except for the 55 °C mash temperature. All tri and tetra saccharides were unpredictable between all three mash temperatures. The plot of the 55 °C mash depicted maltose to be present in the greatest amount relative to the other sugars. This accurately depicts the greater percentage of beta amylase. This could have been purely coincidental and further tests could prove or disprove the reliability of this model in predicting accurate sugar ratios. One of the biggest reasons for this was discussed when attempting to make simplifications to model the process. The formation of sugars from the decomposition of starches is dependent on the concentration of enzymes and not on the concentrations of sugars. 32 | P a g e Flow Sheet Steam Generator City Water Instant Water Heater Grain Mill Mash Tun Boiling Kettle Silo Grain Truck Mechanical Solid Screw Auger Cooling Unit Keg Filler CO2 Tank Brightening Tank Filter Fermentation Tank Heat Exchanger Bottler/labeler In House Kegs Figure 16: Flow Sheet of Brewery Flow Sheet Description Silo The brewing process begins with the bulk storage of the most commonly used malts in this brewery. In this particular brewery, the most used malt would be 2-row barley and would need to be kept on site in bulk in order to reduce shipping costs from the grain distributor. A large truck travels to the site and feeds the malt into a large silo via a mechanically operated screw auger. The silo is kept on site directly outside of the building for quicker transportation time from the truck into the silo. The minimum size for a silo is typically 800 ft 3 and in the case of this brewery it is 9 ft in diameter and 28 ft high which is equal to about 1100 ft3 (Grain).This silo will be purchased from Brock Grain Systems for $10,000. When grain is needed for the start of a new batch the grain is fed in this brewery by a mechanical solid screw auger to the hopper of the mill. The reason this type of auger was chosen was that it has the advantage a greater capacity and handles malt more gently than a flex auger. This auger is priced out to be $7,000 and is 25” in diameter with an efficiency of 22.38%. It is able to pump 18,000 lb/hr consuming and in the case of this brewery it will take about 7.96 min to transport 2,387 lb of 2-row grain to the mill (Max S. Peters, 2003). Milling Before the grain is milled it is sent into a feed hopper which is supported on a mechanical platform located at the grist case. The grist case is a temporary storage hopper that feeds to the mash tun. Typically the grist case is located above the mash tun allowing the milled grain to be fed by gravity into the mash tun. Traditionally roll mills are used for preparing malt for mashing 34 | P a g e in a mash or lauter tun. They are used in order to produce the particle size distribution desirable for optimal extract recovery, but preserve the husk material that is required for filter bed formation and subsequent liquid-solid separation. Roll mills work by crushing the malt as it is drawn through the gap between the rollers exerting pressure and shear forces on the kernels (Priest & Stewart, 2006). The rollers are commonly fluted in order to increase friction. Overall multi-row mills provide greater control of the rate of feed of the unground malt, the spacing between rolls, and the rate of speed, either uniform or differential, at which the rolls are driven (Goldhammer, 2008). There are four different types of rollers; two, four, five and six rollers. Two-row mills usually contain a distance between rollers of 1.3-1.5 mm. They are not very flexible since reducing the gap between the rollers too much will cause damage to the husk and will not give a proper grist size distribution. These types of mills are only suitable for wellmodified malt or for use in small breweries where running costs are low. In the case of this brewery a four-row mill was chosen to be used for the milling process. The five- and six-row mills are too large for the amount of batches being made per week. Since this brewery only brews four times a week the four-row mill would be most sufficient. This is because the two-row mill is not very flexible and the five- and six-row mills are for much larger scale breweries and would be highly inefficient. The mill would be purchased from Pleasant Hill Grain Company for $7,100. It has a 4,000 lb/hr capacity so milling the grain for this brewery would take less than an hour (Grain). Once the grain is milled it is sent to the mash tun with the same type of auger system that is used to send the grain from the silo at a price of $7,000. There is an important concern to take note of when milling the grain in this brewery. Since there is large amounts of dust produced during the brewing process it is very important to keep it contained. To view the concerns associated with grain dust see Appendix – E: 35 | P a g e Environmental Concerns: Dust Regulations and Containment. To contain the grain dust a box would need to be built around the mill. This box needs to be able to keep the many dust particles from being blown out into the rest of the brewery. In addition to the box, a dust vacuum would need to be installed. This vacuum would be able to take the grain dust contained in the box and transfer it into containers to be disposed of. The model of vacuum chosen was the JET DC650CK which is a 1 HP dust collector with canister and costs $499.99. Another issue that is a concern with milling grain is making sure there are not any metal pieces in the grain that may have broken off of the mill rollers as they wear down. This can be avoided by adding a large magnet right after the point where the grain is milled. This magnet would be able to attract any type of metal pieces and flakes as the milled grain freely pass by it. Mashing Mashing is the process in which malt grist from the milling process and water are mixed together at a suitable temperature so that the malt enzymes convert the various cereal components into fermentable sugars and other nutrients (Priest & Stewart, 2006). The liquid containing the nutrients is known as wort or extract and is the product after the mashing process. In the case of this brewery a mash tun was chosen to be used for the mashing process. The type of mashing that takes place in a mash tun is what is known as infusion mashing since it occurs in a single vessel which is used for both conversion and separation. The form of a mash tun is a round insulated enclosed vessel of 110” in diameter and 159” high for this particular brewery and has the capacity of 80 bbl. There is a 1.5” layer of fiberglass insulation that surrounds the outer surface of the mash tun in order to prevent heat loss. This particular mash tun would be purchased from AAA Metal Fabrication for $42,336.60 (Fabrication, 2011). The floor is fitted 36 | P a g e with a series of pipes which are used to run off the wort during separation. It contains a system in order to recirculate the wort and it is fitted with a sparge arm to introduce sparge liquor toward the end of the separation process. The sparge arm consists of concentric pipes suspended just below the ceiling of the tun. These pipes are equipped with spray nozzles directed downward to deliver the sparge water in a uniform pattern over the entire surface of the mash bed. Milled malt is fed by gravity into the mash tun from the grist case and combined with water. The added water first goes through an instant water heater in order to maintain constant temperature of the wort, allowing the enzymatic action to take place. A temperature of 70°C is chosen for the mash temperature for this particular brewery. As the grain is added a 3 hp mixer runs in order to keep the grain circulating within the mash tun. Once the total volume of the milled grain would be transferred into the vessel, it would be about 1-1.5 m deep and float towards the top of the layer of water. The wort would be created by keeping the contents of the mash tun at the temperature of 70°C for an hour. The wort collection system is fitted into the bottom of the vessel. The gravity drained wort travels through the slots of the false bottom to the true bottom and then leaves the mash tun through the runoff pipes which connect to a grant. Runoff is controlled by taps on the pipes within the bottom of the mash tun. The runoff would be carried out slowly at first and done over a control system fitted with a series of weirs, which are designed to reduce the differential pressure and to avoid pulling down the mash bed. The wort is then re-circulated though the mash tun until it runs clear. Filtration of the wort takes place within the grain bed, not at the false bottom which is acting simply as a support for the grain bed (Priest & Stewart, 2006). The wort would then be transferred to a brew kettle via use of a centrifugal pump. This pump is to be purchased from AAA Metal Fabrication for this brewery at a price of $4,276 (Equipment B. P.). At the start of the runoff the gravity of the wort is high but decreases during the process 37 | P a g e due to sparging. Sparging liquor is about 75-78°C when it is sprayed on top of the mash. The weight of this liquor and gravity push the wort through the bed of grain. Very little mixing takes place during this process so the gravity of the newly collected wort would remain high until the later stages of sparging. As the observed gravity falls, the runoff rate can thus be increased without damage to the grain bed. The gravity falls slowly due to the sugars slowly leaching from the grains. Sparging is generally stopped after the gravity of the wort is too low to be of use, or enough wort has been collected. After all of the wort has been collected and transferred to the brew kettle, the spent grains are removed by hand with a large scooper and put into containers to be later picked up by the farmers (Priest & Stewart, 2006). Wort Boiling After the wort is created in the mash tun it is pumped into a brew kettle using the wort pump. This wort pump is to be bought from AAA Metal Fabrication and is capable of pumping 793gal/min and in this brewery. These kettles are fitted with a heating system that heats the wort from the mash temperature which is 21.1°C in the case of this brewery to boiling temperature which is just above 100°C. In the case of this brewery a kettle with an external steam heating jacket is used. The size of the boil kettle would be 118” in diameter and 105” in height with an 80 bbl capacity. It would include 1.5” of fiberglass insulation in order to prevent heat loss while boiling. The steam jacket associated with this system contains 6 total cylinders which would be 42” in diameter and 58” in height. This boil kettle would be purchased from the AAA Metal Fabrication company for $33,048. One of the first reasons for boiling is to sterilize the wort. Wort entering the kettle contains yeast, molds, and bacteria which can result in off-flavors and numerous other problems. Boiling takes place for an hour and in any wort boiling process there 38 | P a g e are multiple stages. These stages include the in-fill, preheating, rise to boil, boil, and transfer out. Wort should be fed into the bottom of the kettle to reduce splashing and oxidation. Preheating is done as soon as possible during the filling process and is applied slowly to reduce risk of fouling. Hops are to be added to the wort at various points during the boiling process to provide flavor, aroma, and antimicrobial attributes to beer. Addition is made to the boil because hops require to be heated in order to convert their alpha-acids to iso-alpha-acids in a process known as isomerization. This is a rapid process and 90% of the final wort bitterness will be produced during the first 30 minutes of boiling. Hop oils will be largely lost during the boiling process, which is an advantage, since these will cause a bitter, vegetable flavor in the beer if present in too high levels. In this particular brewery SAAZ hops would be added when the water first begins to boil. This is in order to maximize isomerization of its alpha-acid content and to drive off undesirable flavor compounds. Cascade hops would then added 10 minutes before boiling is stopped and again 5 minutes before boiling is stopped. The reason this type of hop is added toward the end of the boil in order to add more hop oils before the termination of boiling. One of the most noticeable events that takes place during boiling is the formation of color. This is brought about by the formation of melanoidins, the oxidation of polyphenols and the caramelization of sugars. The production of melanoidins occurs when reducing sugars from carbohydrates react with amino acids that are derived from proteins during the mashing process. About one-third or less of the melanoidins is formed during the boiling process. A toffee, nutty, malty, and biscuit flavor are all associated with melanoidins. Once the entire hour and a half boiling process is completed a pump would be used to create a whirlpool action within the kettle. This would be achieved by drawing off the wort from the bottom of the kettle and injecting it back into a tangentially inlet port on the side of the kettle. The purpose of this whirlpool is to 39 | P a g e remove hot trub from the wort. Trub is the term used to describe the slurry of wort, hop particles, and unstable colloidal proteins coagulated during the wort boiling process. The velocity of the whirl pool should be less than 5m/sec and a transfer time fewer than 10 minutes to prevent shearing of the trub. As the wort enters the tank tangentially, the trub moves out to the periphery of the tank, sinks down the sides, and is propelled to the center of the tank where it forms into a hard conical cake. The consistency of the solids changes over time and it eventually sets like concrete due to oxidative copolymerization of proteins and polyphenols. After settling for about 25 to 30 minutes the clear wort would be drawn off and transferred to the heat exchanger using the centrifugal pump. The trub is then removed using high-pressure water jetting in which high pressured water breaks up the trub and sends it toward the outlet. This process must be carried out within five minutes of the removal of the wort to prevent sticking of the trub to the kettle. Since boiling is one of the most energy-consuming part of the brewing process, cost and energy recovery must be considered for this stage of brewing. After boiling the hot wort is sent to a plate and frame heat exchanger in order to be cooled using a brew pump supplied from AAA Metal Fabrication for $2,471. Heat Exchanger From the boil kettle the wort is sent to a heat exchanger in order to be rapidly cooled. The most common form of heat exchanger in any particular brewery is the plate and frame heat exchanger. The plates are made of stainless steel and around 0.5 mm thick in order to allow optimum amounts of heat exchange. There are a total of 98 plates within the heat exchanger chosen to be used in this brewery. The plate surfaces are embossed to create turbulent flow in order to increase the amount of heat transferred (Priest & Stewart, 2006). The heat exchanger in 40 | P a g e this brewery would be bought from AAA Metal Fabrication for $15,000. Wort enters the heat exchanger at about 96˚C to 99˚C and exits at the cooled pitching temperature. There are two different types of cooling known as single-stage and two-stage cooling. In single stage cooling, a single stage heat exchanger is used and the wort is cooled with water in counter flow. The wort enters the exchanger and cools to about 8˚C while the cold water being pumped through the exchanger enters at about 2˚C and leaves at about 80˚C. If a brewery does not have a cold water tank available and simply uses city water it is difficult to cool the wort down in a sufficient amount of time since the temperature of the inlet water to the heat exchanger changes depending on the time of year. If the inlet water supply temperature is too high a two-stage cooling method would be of better use. The first stage of the process is to use the same exchanger as in the single-stage process. Since the inlet water to the exchanger does not have a cold enough temperature to cool the wort a secondary exchanger must be used. A majority of the heat is removed by the first process and is fed to the second exchanger which most commonly uses a glycol-water mixture as a refrigerant. The glycol-water mixture is continuously sent through the exchanger from a chiller on a loop. After the cooled wort leaves the heat exchanger a canister of pure oxygen would be connected to the outlet tube. This is what is known as the aeration process and is to provide the yeast which would be added to the wort, the necessary oxygen to grow and multiply. The amount of oxygen that is required by the wort depends on the yeast to be used for fermentation. The target addition is between 70-90% saturation and any oversaturation will cause overgrowth of yeast affecting the flavors of the final beer produced. Under-saturation will cause respiring yeast to produce significantly more esters and irreversibly flavors the beer with fruity and solvency aromatics. It will also cause pyruvic acids, fatty acids, and amino acids to decarboxylate to 41 | P a g e aldehydes which causes the beer to have the odor of green apples. Longer fermentation times as well as high final gravities are also associated with inadequate aeration. Over-oxygenation is not as much of a concern as under-aeration however, since oxygen is rapidly consumed by yeast in the initial stages of fermentation (Goldhammer, 2008). Fermentation Tank The modern and most common type of fermenter is a cylindrical closed tower with a conical bottom. This type of tank is what would be used in this brewery. There would be eight total fermentation tanks in this brewery, with each one having a 4,234 gallon capacity. Each tank would be 96” in diameter and 18’ in height. The tanks all would contain 26.7% head space as well as two cooling jackets which would be 36” wide on the sidewall and 18” wide on the cone. 1.5” fiberglass insulation would also be around the entire fermentation tank and the cost for a single fermentation tank is $33,512 and would be purchased from AAA Metal Fabrication (Fabrication, 2011). Yeast is the driving force behind the entire fermentation process. The amount of yeast required is typically based on weight in most micro-breweries. Since most breweries are following a previously developed recipe, it is more practical to directly use the same amount of yeast in each batch. Yeast must also be colder than the pitching wort in order to simulate growth on pitching. The particular process chosen in this brewery would be to directly add the yeast to the fermentation tank before the wort is pumped in. The yeast is normally pitched at around 1825°C. This method ensures good mixing of yeast and wort as it is pumped in from the bottom of the tank. The fermentation temperature of the wort in the tank must remain constant at 21.1°C during the entire process. To achieve this, the tanks would be jacketed with a glycol-water 42 | P a g e mixture which is chilled first using a chiller and then sent to the fermentation tank on a loop. This process is controlled by temperature solenoids within the fermentation tank. If the temperature within the tank deviates by a single degree the chiller will circulate until the tank is at the set temperature again. At the start of the fermentation process the yeast begins to produce fine bubbles on the surface of the wort. Within 24 to 48 hours after the yeast is pitched, rocky cauliflower heads called “kraeusen” begin to appear on the surface of the wort. After 72 hours the kraeusen begins to break down into a cream-colored and less rocky cauliflower. As the process continues yeast activity begins to slow as well as the evolution of carbon dioxide within the fermenter. The beer begins to become bright in color and most of the yeast begins to fall to the bottom of the fermenter. After the beer has sat for the allotted time period it can be drained from the tank. In the case of this brewery it would be for two weeks. The beer would be pumped out of the side of the tank right above where the conical section of the tank starts. This prevents most of the live cultures of yeast from traveling with the beer when leaving the fermenter. Once the beer has been drained the live yeast at the bottom of the tank is drained and sent to another fermentation tank for the use in the next batch. It will remain healthy while held at refrigerated temperatures and can be used for up to 179 more batches (Harris, 2011). Filter Once the beer has completed the fermentation process the tanks would be drained and the beer filtered in order to remove any solids still be remaining within the beer and is achieved by using the brew pump. The most popular form of filtration in breweries is powder filtration. They are most commonly used for their cost effectiveness, their success in clarifying beer. These filters can be emptied and cleaned in little time as well as have the capacity to operate at high 43 | P a g e flow rates for long filtration cycles. In the case of this particular brewery a diatomaceous earth filter was chosen to be used. This was due to the fact that it is the most popular powder filter used among breweries today. The diatomaceous earth used in this brewery would be the NF15 model manufactured by Della Toffola for $73,633.86 (Toffola). Diatomaceous earth is the skeletal remains of single-celled plants called “diatoms” that contain silicon dioxide. The “grade” of diatomaceous earth used usually directly refers to the particle size which affects the flow rates through the filter, filter bed permeability, as well as the degree of filtration. Using smaller particles provides optimum separation but must be operated at a lower flow rate. The opposite can be said for using larger particle sizes in that a higher flow rate may be used but a lower quality of filtration will be produced. More generally a medium to fine grade DE is what is used in most breweries and is what is chosen to be used in this brewery. After Filtration the beer is sent to the brightening tanks where it would sit until the bottling and kegging process. Brightening Tank The brightening tank is identical to the fermentation tanks in structure. There would be eight brightening tanks used in this brewery and each one has a 3,639 gallon capacity. Each tank would be 96” in diameter and 13.5’ in height with 1.5” inches of fiberglass insulation on the sidewalls and bottom of each vessel. There would be two 24” wide cooling jackets on the sidewall of each tank which would be hooked up to the chiller. All of the brightening tanks would be purchased from AAA Metal Fabricators for a price of $30,279 each (Fabrication, 2011). The brightening tank’s main use is to take the filtered beer produced from the fermentation tanks and store it so for carbonation. CO2 would be drawn from an outdoor holding tank and injected into the brightening tank in order to further carbonate the fermented beer. The 44 | P a g e main difference between the brightening tanks and the fermentation tanks is that fermentation is not continued in the brightening tanks. Since the beer has passed through a DE filter, there are negligible amounts of yeast cells left in the beer in order to keep it fermenting. Bottler/Labeler The bottling process is another essential part of the brewing process. New and empty glass bottles would be brought into the brewery in pallet form with cardboard dividers between each sheet which are then wrapped in plastic wrap. A de-palletizer would remove the bottles from the pallet a layer at a time and place them onto what is known as the unscrambling table which funnels the bottles via conveyer into single lines. These single lines of bottles are then sent to the cleaning area. The twist rinser is the most common form of bottle rinser and is what is chosen to be used in this brewery. A set of belt drives feed the bottles into a set of rains which twist and invert the bottles. During the time that the bottles are turned upside down, they are sprayed inside and outside several times with steam. They are then purged with sterile air to ensure that all microorganisms are eliminated. Sterilized bottles are essential to the brewing process since harmful organisms can damage and spoil the beer. The bottles are finally turned back to the right side up position and sent to the bottle filler (Goldhammer, 2008, pp. 306-308). Beer from the brightening tank would be sent to the bottle filler using the brew pump. A Meheen Merlin 6 Head Filler/Capper was chosen to be used in this brewery and would be purchased from Ager Tank & Equipment Co. for $51,635 (Tank). This type of filler/capper has the ability to output 2,300 bottles an hour and since there are 3,332 bottles per batch it will take a total of about 1.5 hours per batch. This machine runs on compressed air and contains no motors, 45 | P a g e gears or bearing to maintain. It is an inline filling system in which the bottles are fed in six rows at a time via conveyer belt and are filled under counter pressure. Counter pressure implies that the bottles being filled are counter-pressurized to the same pressure as the filling equipment containing the carbonated beer. Once the pressure in the bottle and filler are equalized the bottle is filled to the desired height with beer. The displaced CO2 is fed back into the filling machine via an air pipe. The pressure within the bottle is bled off slowly in order to make sure the bottle doesn’t gush out beer when the filling spout is removed. Once the bottles are filled they are cleared of oxygen within the head space of the bottle by creating foam in the bottle neck. Once the bottles have been cleared of oxygen they are sent to be capped. The caps are dumped into the crowning hopper to the halfway full mark. This is to lessen the possibility of caps becoming packed and not feeding into the chute fast enough. The closing element is lowered onto the bottle until the cap rests on the bottle mouth where the teeth of the cap are bent against the upper edge of the mouth of the bottle. Once the bottles are capped they would be sent to a post rinse and dry before being sent to the labeling machine. It is essential that the bottles are dry and free of condensation when they are labeled in order to ensure that the glue used to adhere the labels to the bottles creates a secure bond. An In-Line Labeling Pressure Sensitive Labeler is what was chosen to be used in this brewery and is to be bought from Ager Tank & Equipment Co. for $19,800 [17]. This type of system applies front, back, and neck labels to all of the bottles that pass through it which are then sent on to the case packer. The case packer uses pneumatic grippers that lift the bottles off the collection table and place them into the spaces within the case. The cases are then manually taped and stacked to be sent out to the distributor (Goldhammer, 2008, pp. 306-318). 46 | P a g e Kegging Machine Kegging is another process that would be performed in this particular brewery. Aluminum, sankey-style valve kegs are what were chosen to be used in this brewery since they are the most common form of keg today. They consists of a stainless steel rod housing called a combination fitting that is permanently installed into the top center of the keg and sealed with a spring-loaded check ball. When the keg is tapped CO2 enters the keg and forces the beer up the rod into the beer line and out the faucet. An in-line keg machine was chosen for use in this brewery and is to be purchased from Ager Tank & Equipment Co. for $18,900 (Tank). An in-line system positions empty kegs at one end of the racker and passes them sequentially through a series of stations where different operations are performed. The kegs first are inspected with a pressure test to ensure they are able to keep a good seal. They are next sent to be externally and internally cleaned with a pre-rinse which uses water, a detergent wash for removing biological and inorganic contamination, and then a final rinse. Kegs are always washed in an upside down position and the washing medium is forced up the inside of the spear tube under regulated pressures and flows to ensure that the medium cascades over the outer surface of the valve spear tube and down the internal walls of the keg. The kegs would then be sent to be filled in the inverted position. They are first sanitized before they are filled in order to prevent contamination within the keg. Filling the kegs in an inverted position makes it more difficult to hydraulically over-fill. Once the kegs are filled they would be palletized and sent to a holding area before being picked up by the distributer. 47 | P a g e Hop / Refrigeration Room Some ingredients such as hops must be stored in a refrigerated area in order to preserve their freshness. To achieve this, this brewery would purchase a refrigeration room from Foster Coolers. There would be around 975 lbs of hops ordered each month and in order to store this amount of hops it is essential that this refrigeration room is large enough. This brewery would need an estimated 8’ wide by 10’ long and 7’ high room. A unit like this is priced out at $5,199 and would be purchased through Foster Coolers at the startup of the brewery (Coolers). Instant Hot Water Heater Since the mash tun needs water to be 70°C after the grain is added there needs to be some means of getting the city water from the ground (ranges between 10°C to 21°C depending on the time of year) heated up. There are many options for achieving this but this brewery would install an instant hot water heater in order to always have hot water on demand. The company that was chosen was Hubble due to their efficient and reliable water heaters. Upon investigation it was decided that brewing four days a week instead of two would be the most cost effective method. This was due to the fact that in order to brew two times a day, two 88 kW - V1699T4 models would have to be purchased as an initial capital investment of $15,000. The reason two units would be required would be because the 4,552 gallons of water would need to be heated within the eight hour work day. In the case of brewing four different days a week there would only need to be one unit purchased and used since the amount water that would need to be heated would only be 2,276 gallons. This unit would be the 88kW - V658T4 model and would only be $5,000 as an initial investment. The main reason that this was the option that was chosen was due to the fact that Hubble recommended the use of one unit and to heat the water overnight which would 48 | P a g e take about 12 hours. A temperature thermocouple would be installed in the tank and shut the unit down once the desired set point would be reached. The next morning the mash water would be in the tank and ready to be used. This unit strictly runs on electricity and is around 91% efficient (Heater). Steam Boiler The creation of steam to be used for boiling in the boil kettle in this brewery would be achieved by using a steam boiler. The steam boiler chosen to be used in this brewery is a natural gas fired, 105 Parker Industrial Boiler, and would be purchased from AAA Metal Fabricators for $113,890 (Fabrication, 2011). These types of boilers input natural gas into the system where it is burned in order to produce heat. Water is input into staggered tubes in order maximize the amount of heated surface the water comes in contact with. This water is converted to steam and held in the steam drum which is capable of withstanding 60,000 psi. The boiler is capable of operating at 115 HP and would need to run at 65.55 HP for the 1.5 hour boil. The kettle will need 167 gallons of water to feed to the boiler in order to heat the batch (Boilers). Chiller This brewery has chosen to use a glycol-water chiller in order to maintain a constant temperature of 21.1°C in all of the fermentation and brightening tanks. This glycol-water chiller sends a glycol and water mixture to a cooling unit where it is chilled and then sent to the jackets on the fermentation and brightening tanks. This stream is eventually re-circulated back to the chilling unit where it can be sent out again. This chiller is to be purchased from Whaley Products, Inc. for the amount of $24,000. 49 | P a g e Calculations Material Accounting In order to begin the analysis of material movement through a brewery it is necessary to decide upon an expected production of beer. An analysis of the beer industry reveals that three producers Anheuser-Busch InBev, SABMiller, and Heineken produce over half of the world’s beer by volume. Between these “big three” approximately 700 million hectoliters of beer are produced annually. It is clear that any venture aiming to directly compete with any of these producers would be economically unviable in terms of equipment costs, swaying brand loyalty to establish adequate sales, and the sheer magnitude of the logistics involved in securing the raw materials required to sustain outputs of this magnitude. A more viable venture exists in the craft brewing niche. The market being targeted is the one in which people value a brew based on taste, recipe uniqueness, and local roots. Such a need has been identified to exist in Storrs, Connecticut. A copious drinking population exists at this location that would provide the demand for a small brewery to prosper. The location of the University of Connecticut in the town would provide a continuous demand, supplying new customers annually as they reached drinking age. Supplying the beer to the three local watering holes available to students would establish brand loyalty and would increase approximately proportional to the number of alumni. The American Brewer’s Association classifies a microbrewery as one which has an annual output of less than 15,000 barrels of beer annually and sells 75% or more of the beer produced at the brewery offsite. The following back of the envelope calculation estimates the amount of beer consumed in Storrs: 50 | P a g e 1 (30 − 𝑝𝑎𝑐𝑘) 28 𝑤𝑒𝑒𝑘𝑠 360𝑜𝑧 𝐵𝑎𝑟𝑟𝑒𝑙 ∗ (5,000 𝑑𝑟𝑖𝑛𝑘𝑒𝑟𝑠) ∗ ( )∗ ∗ (𝑤𝑒𝑒𝑘)(𝑑𝑟𝑖𝑛𝑘𝑒𝑟) 𝐴𝑐𝑎𝑑𝑒𝑚𝑖𝑐 𝑌𝑒𝑎𝑟 30 − 𝑝𝑎𝑐𝑘 3968 𝑜𝑧 = 12,700 𝐵𝑎𝑟𝑟𝑒𝑙𝑠 𝑌𝑒𝑎𝑟 This estimate and the desire to be classified as a microbrewery influenced the decision to set production output to 13,000 barrels annually. Brewing operations will occur four times a week and each brewing day will yield sweet and bitter wort which will ferment over the course of 14 days into 1950 gallons of beer. It is important to understand the following industry metrics, which will be referred to extensively, as the material movement through the brewery is estimated. Equation 1 Specific Gravity: Ratio of Densities 𝑆𝐺 = 𝜌𝑠𝑎𝑚𝑝𝑙𝑒 𝜌𝑠𝑎𝑚𝑝𝑙𝑒 = 𝜌𝑟𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝜌𝑤𝑎𝑡𝑒𝑟,(70 °𝐹) Equation 2 Degrees Plato: Weight Percentage Soluble Material °𝑃 = 𝑤𝑡 𝑠𝑜𝑙𝑢𝑏𝑙𝑒𝑚𝑎𝑡𝑒𝑟𝑖𝑎𝑙 ∗ 100 𝑤𝑡 𝑠𝑎𝑚𝑝𝑙𝑒 The materials being considered for the production of beer at this facility are based on the grain and hop bill of the recipe, Table 5, used for the kinetic modeling. Table 5: Grain and Hop Bill Recipe: Grain Fraction 2 Row 88.2% Caramel 60 L 5.9% Carapils 5.9% Recipe: Hops (Oz/Gallon) SAAZ @ 90 min 0.2 Cascade @ 10 min 0.2 Cascade @ 5 min 0.1 51 | P a g e In order to estimate the amount of grain required for production a target specific gravity, dictated by the recipe, of 1.046 or 46 points used. The target volume is multiplied by the SG to get the total amount number of points required. The total points are then multiplied by each respective grain % to determine the amount of points contributed by each grain (Briggs, Boulton, Brookes, & Stevens, 2004, p. 660). Equation 3, Equation 4, and Equation 5 walk through the grain required and Table 6 provides the summary of points per grain. Equation 3 ((𝑇𝑎𝑟𝑔𝑒𝑡 𝑆𝐺) − 1) ∗ 1000 = 𝑇𝑎𝑟𝑔𝑒𝑡 𝐺𝑟𝑎𝑣𝑖𝑡𝑦 𝑃𝑜𝑖𝑛𝑡𝑠 (1.046 − 1) ∗ 1000 = 46 𝑃𝑜𝑖𝑛𝑡𝑠 Equation 4 (𝐺𝑎𝑙𝑙𝑜𝑛𝑠 𝐷𝑒𝑠𝑖𝑟𝑒𝑑) ∗ (𝑇𝑎𝑟𝑔𝑒𝑡 𝐺𝑟𝑎𝑣𝑖𝑡𝑦 𝑃𝑜𝑖𝑛𝑡𝑠) = 𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑖𝑛𝑡 (1950 𝐺𝑎𝑙𝑙𝑜𝑛𝑠) ∗ (46) = 89,700 𝑃𝑜𝑖𝑛𝑡𝑠 Equation 5 (𝐺𝑟𝑎𝑖𝑛 %) ∗ (𝑇𝑜𝑡𝑎𝑙 𝑃𝑜𝑖𝑛𝑡𝑠) = 𝑃𝑜𝑖𝑛𝑡𝑠 𝑝𝑒𝑟 𝐺𝑟𝑎𝑖𝑛 ( 15 ) ∗ (89,700) = 79147 2 𝑅𝑜𝑤 𝑃𝑜𝑖𝑛𝑡𝑠 17 Table 6: Points Per Grain 79147 5276 5276 Points (2 Row) Points (Caramel 60 L) Points (Carapils) The total points per grain depict the points if complete solubility of each grain could be achieved, however this is not possible. All malts are tested for their maximum solubility and the results from these laboratory results are present in malt analysis sheets that accompany grain shipments. The results are depicted as Course Grind Dry Basis (CGDB) and Fine Grind Dry 52 | P a g e Basis (FGDB), the former metric being used for base, or primary malts, and the latter for specialty malts. A compilation of malt analysis sheet properties for different grains that were considered is available in the appendix. The CG/FG value is multiplied by 46, Equation 6, in order to get the value points per pound per gallon (PPG). The number 46 is derived from the disaccharide, sucrose, which yields the greatest specific gravity increase when adding 1 pure pound of the sugar in 1 gallon of water. If malted barley was composed of 100% sucrose then it would have 100% extract efficiency. The PPG value is then multiplied by the brew house yield (BHY). The brew house yield is the percentage of soluble extract (from the CGDB/FGDB) that is actually extracted from the grain. In industry brew house yields (BHY) of 80-95% are common (Briggs, Boulton, Brookes, & Stevens, 2004, p. 660), and it was assumed this brewery would operate at a BHY = 90%. The CGDB and FGDB and pounds for each grain are presented in Table 7. Equation 6 𝑃𝑜𝑖𝑛𝑡𝑠 𝑃𝑒𝑟 𝐺𝑟𝑎𝑖𝑛 = 𝑙𝑏𝑠 𝑔𝑟𝑎𝑖𝑛 𝑛𝑒𝑒𝑑𝑒𝑑 𝐶𝐺𝐷𝐵/𝐹𝐺𝐷𝐵 ∗ 46 ∗ 𝐵𝐻𝑌 79147 = 2390 𝑙𝑏𝑠 𝑜𝑓 2 𝑅𝑜𝑤 80% ∗ 46 ∗ 90% Table 7: Grain Required and Extraction Percentages 2 -Row Caramel 60 L Carapils lbs 2390 166 150 CG/FG 80.00% 77.00% 85.00% When brewing a batch of beer grains are milled and directed to the mash tun and the initial water, hot liquor, is mixed with the grain to form grist. The mashing process involves 53 | P a g e using two volumes of water of equal volume; the first infusion is with hot liquor (Fix, 1989, p. 99). The mash is allowed to rest for sixty minutes to allow the starch to enzymatically decompose. The water and dissolved material, wort, is then separated, lautered, from the spent grain and directed to the boiling kettle. The second infusion of water, sparge water, is then added to the mash tun to rinse the spent grains of any remaining extract and directed to the boiling kettle. The spent grains removed from the mash tun are up to 80 percent weight by water (Briggs, Boulton, Brookes, & Stevens, 2004, p. 199). The weight ratio of hot liquor to grain is known as the grist ratio and was found to be 3.44 pounds hot liquor/pound of grain. This value was the result of an optimization at the end of the material balance to account for properties in the mash tun and boiling kettle. With this grist ratio and estimated extraction wort leaves the mash tun at 10.60 °P. Table 8 summarizes the material balance around the mash tun. 3.44 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 ∗ 𝑇𝑜𝑡𝑎𝑙 𝑙𝑏𝑠 𝐺𝑟𝑎𝑖𝑛 ∗ (2 𝑉𝑜𝑙𝑢𝑚𝑒𝑠) = 𝑊𝑎𝑡𝑒𝑟 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑙𝑏 𝑔𝑟𝑎𝑖𝑛 3.441 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 ∗ 2705.2 ∗ 2 = 18,617 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 𝑙𝑏 𝑔𝑟𝑎𝑖𝑛 The temperature of the hot liquor, the strike temperature, was calculated so that the resulting temperature of the mash was 158 °F, according to the results from experimentation. Equation 7 calculates the strike water temperature needed for water being supplied at 70°F, grain at 77°F, for the aforementioned mash temperature. 54 | P a g e Equation 7 𝑇𝑚𝑎𝑠ℎ (𝐿𝑖𝑡𝑒𝑟𝐻2 𝑂 + (0.4 ∗ 𝑘𝑔𝑔𝑟𝑎𝑖𝑛 )) − 70°𝐶 (4323 𝐿𝐻2 𝑂 @ 70°𝐶 + (0.4 ∗ 1227 𝑘𝑔)) − 0.4 ∗ 𝑘𝑔𝑔𝑟𝑎𝑖𝑛 ∗ 𝑇𝑔𝑟𝑎𝑖𝑛 = 𝑇𝑆𝑡𝑟𝑖𝑘𝑒 𝐿𝑖𝑡𝑒𝑟𝐻2 𝑂 0.4 ∗ 1227 𝑘𝑔 ∗ 25°𝐶 = 75°𝐶 = 167°𝐹 4323 𝐿𝐻2 𝑂 @ 70°𝐶 Table 8: Mass Balance - Mash Tun In Out Creating The Wort 9308 2705 Infusion Water (lbs) Milled Grain (lbs) 9308 Sparging Water (lbs) Check 16453 1950 Wort (Sweet) Water (lbs) Absorbed Mash Material (lbs) 2164 755 Spent Grain Water (lbs) Un-Absorbed Mash Material (lbs) 0 Wort enters the steam jacketed kettle and is brought to a boil. Boiling induces a “hot break” which is a coagulation of soluble proteins which if left in beer provide undesirable cloudiness and off flavors. The proteins which become insoluble in the wort represent a small percentile relative to the weight of the water, sugars, and hops and it was assumed not to represent a significant fraction to require calculating for the material balance. After the hot break event, the wort is maintained at a rolling boil and hops are added according to the hop bill from our recipe, see Table 5. The hops are added according to the amount of time required to be boiled. Hops contribute the bitterness which evens out the 55 | P a g e sweetness of malt extracted from barley and relatively little is required to achieve this balance. Approximately 15% of hop material is soluble in water, the remaining forms part of the insoluble trub at the end of the boil (Priest & Stewart, 2006, p. 664). Spent hops are also 80 percent weight by water (Briggs, Boulton, Brookes, & Stevens, 2004, p. 349). The amount of hops required was summing the multiplication of each hop fraction by the gallons of beer required. ∑ (1950 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ 0.2 𝑙𝑏𝑠 𝑆𝐴𝐴𝑍 0.2 𝑙𝑏𝑠 𝐶𝑎𝑠𝑐𝑎𝑑𝑒 0.2 𝑙𝑏𝑠 𝐶𝑎𝑠𝑐𝑎𝑑𝑒 ) + (1950 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ ) + (1950 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ ) 𝑔𝑎𝑙𝑙𝑜𝑛 𝑔𝑎𝑙𝑙𝑜𝑛 𝑔𝑎𝑙𝑙𝑜𝑛 = 60.9 𝑙𝑏𝑠 ℎ𝑜𝑝𝑠 During the 90 minute boil the water evaporates from the boiling kettle at a rate of 4 percent per hour (Briggs, Boulton, Brookes, & Stevens, 2004, p. 327). The boiling process has the effect of sterilizing the wort and provides the energy to isomerize the hop oils, fixing them to the wort. The boiling point of sugars and the organic hop material are significantly higher than water and it was assumed only water would evaporate from the kettle. After boiling, the wort is whirl pooled to concentrate the trub in the center of the kettle, the wort is piped out, and the trub left behind is collected for disposal. The wort at the end of the boiling process is estimated to be 11.28 °P and Table 9 summarizes the material balance for the boiling kettle. The hot wort piped from the boiling kettle passes through a heat exchanger where it is cooled to 70°F and injected with oxygen that will provide yeast the reductive power necessary for aerobic respiration. An industry rule of thumb suggests that wort exposed to oxygen above 80°F promotes oxidation of wort components leading to off flavors and low shelf life (Harris, 2011). Cooling wort to 70°F serves to prevent oxidation and happens to be the fermentation temperature. 56 | P a g e Table 9: Mass Balance - Boiling Kettle In Out Creating The Wort 16453 1950 60.9 Check Wort (Sweet) Water (lbs) Absorbed Mash Material (lbs) Hopping Hops (lbs) 15417 1950 9.1 Wort (Bittered) Water (lbs) Absorbed Mash Material (lbs) Absorbed Hop Material (lbs) 51.8 Trub Un-Absorbed Hop Material (lbs) 48.8 Water 987 Evaporated Water (lbs) 0 In industry 8.35E-06 lbs of oxygen per pound of wort per degree plato desired to have fermented is used (Priest & Stewart, 2006, p. 484). To estimate the amount of gallons of wort a correlation between °P and specific gravity was used and this value was multiplied by gallons of water leaving the boiling kettle (Palmer, 2006, p. 266). The gallons of water were calculated by dividing the weight of the water by the density of water at 70°F. 11.28 °𝑃 = 1.045 15417 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 ∗ 1 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ 1.045 = 1933 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝑤𝑜𝑟𝑡 8.34 𝑙𝑏 57 | P a g e The gallons of wort were then multiplied by the degrees of attenuation dictated by the recipe, 7.85 °P. The oxygen required and the percentage of oxygen per gallon of wort was calculated to be: 1933 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ 7.85 °𝑃 ∗ 0.00000835 𝑙𝑏𝑠𝑂2 = 0.127 𝑙𝑏𝑠 𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 ∗ °𝑃 0.127 𝑙𝑏𝑠𝑂2 𝑙𝑏𝑠𝑂2 = 0.0000655 1933 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝑔𝑎𝑙𝑙𝑜𝑛 𝑤𝑜𝑟𝑡 This figure was checked to determine if any oxygen was being wasted by applying Henry’s law to determine how much oxygen could theoretically be dissolved into the wort. For this calculation it was assumed that that 1 gallon of wort behaved similar to 1 gallon of water, that wort would be at atmospheric pressure, and that oxygen would have a partial pressure of 0.21 atmospheres. Equation 8 𝑝 = 𝑘𝐻 𝐶 0.21𝑎𝑡𝑚 𝑔𝑟𝑎𝑚𝑠 𝐿 ∗ 𝑎𝑡𝑚 (822.13 ∗ 453.59 ) 𝑚𝑜𝑙 𝑙𝑏 ( ) 𝑔𝑟𝑎𝑚 𝑙𝑖𝑡 3.785 ∗ 32 𝑔𝑎𝑙 𝑚𝑜𝑙 = 𝐶 = 0.0000628 𝑙𝑏𝑠𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛 𝑤𝑜𝑟𝑡 0.0000655 𝑙𝑏𝑠𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛 𝑤𝑜𝑟𝑡 = 96% 𝑆𝑎𝑡𝑢𝑟𝑎𝑡𝑖𝑜𝑛 0.0000628 𝑔𝑎𝑙𝑙𝑜𝑛 𝑤𝑜𝑟𝑡 𝑙𝑏𝑠 𝑂2 58 | P a g e The result shows that the oxygen would not be provided in excess and that enough would be present for the yeast to utilize. The results of the mass balance for aeration are presented in Table 10 below. Table 10: Mass Balance - Aeration In Out Aerating The Wort 15417 1959 Wort (Warm/Un-aired) Water (lbs) Total Dissolved Solids (lbs) 0.127 Oxygen Oxygen (lbs) Check 15417 1959 0.127 Wort (Cool/Aerated) Water (lbs) Total Dissolved Solids (lbs) Oxygen (lbs) 0 After aeration and cooling the wort enters the fermentation tank and yeast is pitched at a rate of 0.00835 lbs per gallon of wort (Briggs, Boulton, Brookes, & Stevens, 2004, p. 402). A quick calculation yields: 0.00835 𝑙𝑏𝑠 𝑦𝑒𝑎𝑠𝑡 ∗ 1933 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝑤𝑜𝑟𝑡 = 16.1 𝑝𝑜𝑢𝑛𝑑𝑠 𝑦𝑒𝑎𝑠𝑡 𝑔𝑎𝑙𝑙𝑜𝑛 𝑤𝑜𝑟𝑡 The aerated wort provides the chemical energy in the form of oxygen necessary for aerobic metabolic pathways in yeast to grow and multiply. Once the oxygen is consumed yeast switch to lower energy producing fermentation pathways. This switch is what allows 0.00456 lbs of extract to yield 0.00220 lbs of ethanol, 0.00211 lbs CO2, and 0.000243 lbs of yeast (Priest & Stewart, 2006, p. 442). Fermentation is the process that turns wort into beer. The alcohol levels are set in this process and fermenting wort is drawn off the fermentation tanks daily to keep a check on quality. 59 | P a g e The percentage of fermentable sugars that the yeast consume, the attenuation, allows for the calculation of the yield of ethanol, CO2, and yeast per batch. 1959 𝑙𝑏𝑠 𝑒𝑥𝑡𝑟𝑎𝑐𝑡 = 430,027 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡𝑠 0.00456 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡 75% ∗ 430,027 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡𝑠 ∗ 75% ∗ 430,027 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡𝑠 ∗ 75% ∗ 430,027 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡𝑠 ∗ 0.00211 𝑙𝑏𝑠𝐶𝑂2 = 680 𝑙𝑏𝑠 𝐶𝑂2 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡 0.00220 𝑙𝑏𝑠 𝐸𝑡𝑂𝐻 = 711 𝑙𝑏𝑠 𝐸𝑡𝑂𝐻 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡 0.000243 𝑙𝑏𝑠 𝑦𝑒𝑎𝑠𝑡 = 711 𝑙𝑏𝑠 𝑦𝑒𝑎𝑠𝑡 𝑦𝑖𝑒𝑙𝑑 𝑢𝑛𝑖𝑡 This resulting 25% unfermented sugars contribute sweetness and body to beer to balance out the bitterness of hops, sting of ethanol, and bite of carbon dioxide. The yeast removed at the end of fermentation contains 80% weight by water (Briggs, Boulton, Brookes, & Stevens, 2004, p. 371). Beer leaving the fermentation tank is predicted to be 3.43 °P. The weight % alcohol of the beer is calculated by Equation 9. Table 11 summarizes the mass balance of the fermentation tank. Equation 9 𝑙𝑏𝑠 𝑒𝑡ℎ𝑎𝑛𝑜𝑙 ∗ 100 = 𝐴𝐵𝑊 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 + 𝑙𝑏𝑠 𝑑𝑖𝑠𝑠𝑜𝑙𝑣𝑒𝑑 𝑠𝑜𝑙𝑖𝑑𝑠 + 𝑙𝑏𝑠 𝑒𝑡ℎ𝑎𝑛𝑜𝑙 711 ∗ 100 = 4.29% 15370 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 + 490 𝑙𝑏𝑠 𝑑𝑖𝑠𝑠𝑜𝑙𝑣𝑒𝑑 𝑠𝑜𝑙𝑖𝑑𝑠 + 711 𝑙𝑏𝑠 𝑒𝑡ℎ𝑎𝑛𝑜𝑙 60 | P a g e Table 11: Mass Balance - Fermentation In Out Creating Beer 15417 1959 Unfermented Wort Water (lbs) Total Dissolved Material (lbs) 15370 711 490 680 Pre-Fermentation 16.1 Post-Fermentation Yeast (lbs) 78.21 63 Check Green Beer Water (lbs) Ethanol (lbs) Total Dissolved Solids (lbs) CO2 (lbs) Yeast (lbs) Water Absorbed (lbs) 0 From the fermentation tank beer is passed through a filter to remove any insoluble debris and yeast still in solution. For this process a diatomaceous earth filter was used and it was assumed no beer was lost and that filtration was 99.9% effective. The choice to include this process in the mass balance was based on the importance of this process. The amount of mass being removed from the beer relative to the mass of the beer is small, but they are in concentrations high enough to cause undesirable aesthetic properties, i.e. cloudiness. Table 12 highlights the mass balance around this unit. Table 12: Mass Balance - Filtration In Out Creating Clear Beer 16571 78.21 Check Unfiltered Beer Beer (lbs) Yeast (lbs) 16571 0.08 Filtered Beer Beer (lbs) Residual Yeast (lbs) 78.14 Filtrate Yeast (lbs) 0 61 | P a g e “Green beer” leaving the fermentation tank contains carbonation from the fermentation process which can be estimated using Henry’s law. It was assumed that the partial pressure of CO2 in the fermentation tank was 1 ATM, that beer was not exposed to the air after fermentation, beer behaved similar to water, and that the filter did not remove any CO2 (Harris, 2011). This estimation will help to determine the mass of CO2 needed to carbonate the beer to the appropriate levels and help reduced material costs associated with carbonation. Equation 8 𝑝 = 𝑘𝐻 𝐶 1 𝐴𝑇𝑀 ( 𝐿 ∗ 𝑎𝑡𝑚 𝑔𝑟𝑎𝑚𝑠 ) ∗ 453.59 𝑚𝑜𝑙 𝑙𝑏 ) 𝑙𝑖𝑡 𝑔𝑟𝑎𝑚 3.785 ∗ 44 𝑔𝑎𝑙 𝑚𝑜𝑙 (31.77 = 0.012 𝑙𝑏𝑠 𝐶𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛 𝑏𝑒𝑒𝑟 An industry standard when carbonating beer is to refer to the amount of carbonation as volumes of CO2 per volume of beer. Ales generally have a carbonation of 1.7-2.2 volumes. Carbonation levels affect how beer aromas lift from beer, the head of the foam after pouring beer into a glass, and the bite as carbon dioxide bubbles sweep across your tongue. For our process a ratio of 2.0 volumes of carbon dioxide was chosen and accounting for the CO2 still in solution yields a requirement of 1.30 volumes. 62 | P a g e 0.012 𝑙𝑏𝑠𝐶𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛𝑠𝐶𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛𝑠𝐶𝑂2 = 0.70 0.0164 𝑙𝑏𝑠 𝐶𝑂2 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝑏𝑒𝑒𝑟 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝐵𝑒𝑒𝑟 2 − 0.7 = 1.3 𝑣𝑜𝑙𝑢𝑚𝑒𝑠 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 1.3 𝑔𝑎𝑙𝑙𝑜𝑛𝑠𝐶𝑂2 0.0164 𝑙𝑏𝑠 𝐶𝑂2 41 𝑙𝑏𝑠 𝐶𝑂2 ∗ ∗ 1950 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 = 𝑔𝑎𝑙𝑙𝑜𝑛𝑠 𝐵𝑒𝑒𝑟 𝑔𝑎𝑙𝑙𝑜𝑛𝑠𝐶𝑂2 𝑏𝑎𝑡𝑐ℎ From this calculation it is easy to see that by careful handling beer after fermentation can help to keep production costs down. It is common for breweries to supply CO2 blankets when transferring beer to bottles and kegs to minimize the loss of CO2 in solution. From the brightening tanks beer in the brewery would be bottled and kegged accordingly and sold to distributors. Table 13 shows the results of the carbonation process. Table 13: Mass Balance - Carbonation In Out Carbonating The Beer 16571 47.57 Check Semi Carbonated Beer Beer (lbs) CO2 (lbs) 16619 Fully Carbonated Beer Beer(lbs) 0 After carbonation beer would head to brightening tanks where it would be bottled and kegged according to distribution logistics. 63 | P a g e Energy Requirements The energy required to operate the different pieces of equipment to create beer is a major cost that must be analyzed when considering the construction of a brewery. Large volumes of water must be heated and environments must be thermally controlled to account for environmental temperature fluctuations. The power requirement for each pump, cooling and heating unit, and general operation is essential to an economic analysis in order to optimize the brewing process. To give an accurate estimate an energy balance is performed on each component in the brewery and an analysis is performed to ensure an efficient operation. The mill requires power input to crush the grain in order to allow maximum extraction of sugars in the mash tun. Two auger conveyers leading to and away from the mill carry the whole grain and milled grain and require a power input to move the material at an efficient speed. The mill used for this process is 60 horsepower (hp), according to the manufacturer which converts to an energy requirement of 44.74 kW/hour (Grain). Running at 4000 lb per hour will require 0.68 hours to mill the 2705 lbs of grain required per batch. 1 ℎ𝑜𝑢𝑟 2705 𝑙𝑏 ∗ ( ) = 0.68 ℎ𝑜𝑢𝑟𝑠 4000 𝑙𝑏 60 ℎ𝑝 ∗ ( 𝑘𝑊 ℎ𝑟 ) = 44.74 𝑘𝑊 ∗ 0.68 ℎ𝑜𝑢𝑟𝑠 = 34.86 𝑘𝑊 ℎ𝑝 ℎ𝑟 0.745 The auger conveyers have the capacity to move grain at 18,000 lb/hr. However, the mill can only operate at 4000 lb/hr so the conveyer rate must be operated accordingly to prevent overflow. The energy requirement given by the manufacturer states that the energy requirement for running the conveyer at 18,000 lbs/hr is 1.13 kW/hr (Hemad Zareiforoush). Scaling this to 64 | P a g e the capacity of this brewery changes the energy requirement to 0.251 kW/hr. The operating time for the augers would be the same as the mill in order to maintain consistent material flow. The calculations for the augers and mill are summarized in Table 14. 0.251 𝑘𝑊 ∗ (0.68 ℎ𝑟) = 0.196 𝑘𝑊 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑓𝑜𝑟 𝑎𝑢𝑔𝑒𝑟 ℎ𝑟 Table 14: Energy Calculations for the Mill and Auger Conveyers. Auger Conveyer 1 Req for Auger Mill Req for Mill: Auger Conveyer 2 Req for Auger for 18,000 lb/hr kW for 4000 lb/hr for 18,000 lb/hr kW/h 1.13 kW/h for 4000 lb/h 0.251 kW/hr 44.74 kW/h 1.13 kW/h for 4000 lb/h 0.251 kW = 0.196 kW = 34.86 kW = 0.196 A Hubble BW model hot water heater brings the water that will combine with the grains, to form grist, to strike water temperature. This temperature is slightly higher than the desired mashing temperature to account for the energy absorbed by the grains and was calculated in Equation 7. It was assumed that the insulation around the mash tun would prevent any appreciable drops in temperature in the mash. After the hour long mash an amount of water equal to the first infusion is used for the sparge process to increase sugar extraction efficicency. The temperature of the sparge water should be between 100 and 170 °F to prevent the extraction of tannins from the grain and maintain a low viscosity to prevent “sticking” when lautering. A temperature of 150°F was chosen for the sparge process. The energy requirements for the hot water heater as shown below: 65 | P a g e Calculating for strike water addition: 𝑄 = (9308 𝑙𝑏 ∗ 1 𝑘𝑔 𝑘𝐽 ) 𝐻2 𝑂 ∗ 4.179 ∗ ((75 °𝐶 + 273) − (21 °𝐶 + 273)) 2.2 𝑙𝑏 𝑘𝑔 ∗ 𝐾 = 950,845 𝑘𝐽 Calculating for sparge water addition: 𝑄 = (9308 𝑙𝑏 ∗ 1 𝑘𝑔 𝑘𝐽 ) 𝐻2 𝑂 ∗ 4.179 ∗ ((66 °𝐶 + 273) − (21 °𝐶 + 273)) 2.2 𝑙𝑏 𝑘𝑔 ∗ 𝐾 = 784,202 𝑘𝐽 The sum of the two energy requirements and the application of the efficiency of the hot waeter, given by manual specifications of 91% yields a total energy requirement to heat water as: 950,845 𝑘𝐽 + 784,202𝑘𝐽 = 1,906,645 𝑘𝐽 91% 𝑒𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑦 The Hubbell BW model paperwork provides Equation 10 and Equation 11 to calculate the power and flow rates required to heat incoming water to a specific temperature. Equation 10 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑘𝑊 = 𝑇𝑟𝑖𝑠𝑒 ∗ 𝐺𝑃𝐻 ∗ .00244 Equation 11 𝑘𝑊 ∗ 410 = 𝑓𝑙𝑜𝑤 𝑟𝑎𝑡𝑒(𝐺𝑃𝐻) 𝑇𝑟𝑖𝑠𝑒 The flow rate in gallons per hour (GPH) was selected to be 185 GPH. Using this value in Equation 11 yields a required power of 40.63 kW per batch. 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑘𝑊 = (77 − 25) ∗ 185 ∗ .00244 = 40.63 66 | P a g e The pump used in this process is a product of Ampco. The manufacturer’s paperwork indicated that the pump runs on 5 hp for a total capacity of 215 GPM (Equipment B. P.).This process uses a flow rate of 200 GPM, which brings the power requirement for this operation to 3.518 kW. A summary of the calculations for the heater and pump can be seen in Table 15. Table 15: Energy Calculations for the Hot Water Heater and Pump. Hot Water Heater Strike Hot Water Heater Pump Power Req'd kJ 950,845.0 hp 784,202.0 pump capacity GPM 215 kg/s 13.54 Sparge kJ Total kJ (η= 91%) Flow Rate (GPH) Gal Total Hours 1,906,645.0 185 2235.24 gal/hr kW per week 0.024 250 40.63 162.50 per month 650.02 5 running at 200 GPM GPM kg/s kW req'd at capacity kW req'd at 200 GPM 200 12.59 3.782 3.518 In the mash tun, there is a mixer which rotates the mash constantly, stirring the grist to ensure equal heating and mixing. The mixer operates at 3 hp which corresponds to 2.24kW of power needed to run the mixer for an hour. The pump which draws the liquid from the mash tun and transfers it into the boiling kettle is an Inoxpa RV 80 model which has the capacity to run at 793 gallons per minute (GPM) using 2.2 kW of power (Equipment I. ). Running the pump at 500 GPM over 2.64 minutes would take 0.097 kW of power to move the total volume of wort to the 67 | P a g e boiling kettle. A summary of the calculations for mash tun mixer and pump can be seen in Table 16: Energy Calculations for Mash Pump.Table 16. Table 16: Energy Calculations for Mash Pump. Mash Pump GPM 793 rpm 1800 m3/min 85 kW/h 2.2 run at 500 gpm 500 gal wort 1318.27 minutes kW 2.64 0.097 3 hp Mixer: kW 2.24 The boiling kettle receives the hot mash from the mash tun and brings the solution to boil using a steam jacket. Assuming the solution holds at a consistent 100°C during the boil, the energy required to boil the solution can be calculated using Equation 12. The change in temperature for this case is from the mash temperature of 70°C to the boiling temperature. It was assumed that there was no heat loss in the pipes. 𝑄= 16453 𝑙𝑏𝑠 𝑤𝑎𝑡𝑒𝑟 𝑘𝐽 ∗ 4.2055 ∗ ((100°C + 273) − (70°C + 273)) = 941,829 𝑘𝐽 2.204𝑙𝑏 𝑤𝑎𝑡𝑒𝑟 𝑘𝑔 ∗ 𝐾 𝑘𝑔 The amount of steam needed to heat the kettle contents to boiling temperature is given by Equation 12. Q is the amount of energy transferred in kJ and hv is the evaporation energy of steam in kJ/kg. The energy required to evaporate water was found to be 2257 kJ/kg. 68 | P a g e Equation 12 Q Required to Boil H2 𝑂 = 𝑚H2 𝑂 ∗ ℎ𝑣 Q required = 447.8 𝑘𝑔 H2 𝑂 ∗ 2257 𝑘𝐽 = 1,010,684.6 𝑘𝐽 𝑘𝑔 The total energy required to bring the wort to boiling temperature and boil for an hour and a half was found to be: 𝑇𝑜𝑡𝑎𝑙 𝐸𝑛𝑒𝑟𝑔𝑦 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 = 1,010,685 𝑘𝐽 + 941,829 𝑘𝐽 = 1,952, 513.74 𝑘𝐽 = 1,952, 513.74 𝑘𝐽 ∗ 0.948 𝐵𝑇𝑈 = 1,859,591 𝐵𝑇𝑈 𝑘𝐽 For the boiler operating at 100 PSI and 600°F the enthalpy of steam was given by steam tables as and the amount of pounds of steam required to deliver the required amount of energy was found to be: 𝐻 = 1329.3 𝐵𝑇𝑈 𝑙𝑏 . 𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝐴𝑚𝑜𝑢𝑛𝑡 𝑜𝑓 𝑆𝑡𝑒𝑎𝑚 𝑝𝑒𝑟 𝐵𝑎𝑡𝑐ℎ = 1,859,591 𝐵𝑇𝑈 ∗ 𝑆𝑡𝑒𝑎𝑚 𝐹𝑙𝑜𝑤 𝑅𝑎𝑡𝑒 = 𝑙𝑏 = 1392.15 𝑙𝑏 1329.3 𝐵𝑇𝑈 1392.15 𝑙𝑏 𝑙𝑏 𝑙𝑏 = 928.10 = .2578 1.5 ℎ𝑟 ℎ𝑟 𝑠 Total BTU required to be generated by the steam boiler assuming a closed system with no leaks or energy losses to the environment and a boiler operating efficiency of 84% was calculated: 1,859,591 𝐵𝑇𝑈 = 2,203,084 𝐵𝑇𝑈 0.84 69 | P a g e The amount of time required to produce 2,203,084 𝐵𝑇𝑈 of energy is used with the boiler’s capacity of 3,864,000 𝐵𝑇𝑈 ℎ𝑟 to find the required time it takes to run the boiler per batch: 2,203,084 𝐵𝑇𝑈 ∗ ℎ𝑟 = 0.57 ℎ𝑟 3,864,000 𝐵𝑇𝑈 This amount of time would require a fractional amount of horsepower to operate for the 1.5 hours. This is calculated by the following equation: 115 𝐻𝑃 ∗ 0.57 ℎ𝑟 = 65.55 𝐻𝑃 𝑏𝑎𝑡𝑐ℎ Since this brewery is only utilizing about half of the boiler’s operating capacity, it would be able to operate at full capacity and supply steam to an optional second boil kettle. This unutilized HP leaves room for future expansion within the brewery. This 115 HP boiler will require natural gas to run which has an energy capacity of 1000 𝐵𝑇𝑈 𝑓𝑡 3 (Williams, 2011). The total amount of natural gas required to operate the steam boiler is calculated by: 2,203,084 𝐵𝑇𝑈 ∗ 𝑓𝑡 3 𝑓𝑡 3 𝑁𝑎𝑡𝑢𝑟𝑎𝑙 𝐺𝑎𝑠 = 2,203.08 1000 𝐵𝑇𝑈 𝑏𝑎𝑡𝑐ℎ The whirlpool pump recirculates the wort after boiling to force all remaining solids to the center while the supernatant is pumped to the heat exchanger. The pump used is the same as that used for the hot water heater. The power requirement is 5 hp and the flow rate is 200 GPM and the calculations are the same as shown above. Table 17 summarizes the calculations for the kettle and pumps. 70 | P a g e Table 17: Energy Calculations for the Boiling Kettle, Whirlpool Pump, and Outlet Pump. Boiling Kettle Q=mCpdT Whirlpool Pump Power Req'd Pump Power Req'd Temperature in Kettle: hp hp C 100 ms = q / he he pump capacity GPM 215 kg/s 13.54 pump capacity GPM 215 kg/s 13.54 kJ/kg 2257 running at 200 GPM running at 200 GPM kJ 1149.36 GPM kg/s kW req'd at capacity kW req'd at 200 GPM GPM 200 kg/s 12.59 kW req'd at 3.782 capacity kW req'd at 3.518 200 GPM q Flow (kW) kW 0.1715 5 200 12.59 3.782 3.518 5 Steam Needed (kg/s) kg/s 0.0001 kg/hr 0.2736 kg steam Total 0.410 The hot wort flows from the kettle to the heat exchanger where cooling water also flows to bring the wort to fermentation temperature. The heat transfer rate (q) can be calculated using Equation 13. Equation 13 𝑞= 𝑚 𝐶 Δ𝑇 𝑡 𝑝 Running the pump at a flow of 200 GPM gives a run time of about 10 minutes. The change in temperature in this process is from the boiling temperature of 100 C to fermentation temperature of 21C. 71 | P a g e 𝑞= 0.0041 𝑘𝐽 7898 𝑘𝑔 ∗ (21 − 100) ∗ = −7.64 𝑘𝑊 𝑘𝑔 ∗ 𝐾 606 𝑠𝑒𝑐 The pump calculations are the same as previously shown. Table 18 summarizes the energy calculations for the heat exchanger below. Table 18: Energy Calculations for the Heat Exchanger and Pump Heat Exchanger q = cp dT m / t Pump Power Req'd q (heat transfer rate) hp kW (kJ/s) 5 -7.64 pump capacity GPM 215 kg/s 13.54 sec 606.27 running at 200 GPM min 10.10 Runtime Q Total Exchanger kJ through -4630.78 GPM 200 kg/s 12.59 Heat kW req'd at 3.782 capacity kW req'd at 3.518 200 GPM The fermentation tank keeps the beer at a constant 21°C while the reaction of glucose converting to ethanol and carbon dioxide occurs. The heat of formation of ethanol and carbon dioxide from glucose was used to estimate the heat generated in the fermentation tanks. From this an estimate could be made regarding the cooling water required to provide adequate heat removal. The stoichiometry of the chemical reaction is shown below and Equation 14 is used to calculate the heat evolved. 72 | P a g e 𝐶6 𝐻12 𝑂6 → 2𝐶2 𝐻5 𝑂𝐻 + 2𝐶𝑂2 Equation 14 𝐻°𝑓 = ∑𝐻°𝑓 𝑝𝑟𝑜𝑑𝑢𝑐𝑡𝑠 − ∑𝐻°𝑓 𝑟𝑒𝑎𝑐𝑡𝑎𝑛𝑡𝑠 𝐻°𝑓 = ((2 ∗ −277.7 𝑘𝑗 𝑘𝑗 𝑘𝑗 𝐶2 𝐻5 𝑂𝐻 ) + (2 ∗ −394.5 𝐶𝑂2 )) − (−1271.0 𝐶𝐻 𝑂 ) 𝑚𝑜𝑙 𝑚𝑜𝑙 𝑚𝑜𝑙 6 12 6 𝐻°𝑓 = −(1344.4) − (−1271.0) = −73.4 𝑘𝑗 𝑚𝑜𝑙 In order to calculate the amount of heat given off per batch it was assumed that the wort being fermented into beer had the same heat capacity as water, that all of the extract from the grain was glucose, and that yeast had an attenuation of 75%. The heat of formation was recognized as being exothermic and set positive to avoid confusion. 73.4 𝑘𝑗 453.59 𝑔 𝑚𝑜𝑙 ∗ 1950 𝑙𝑏𝑠 ∗ ∗ ∗ 75% = −270,269.5 𝑘𝑗 𝑚𝑜𝑙 𝑙𝑏𝑠 180.16 𝑔 Assuming the heat capacity of water at 21°C the temperature rise of the beer without cooling was determined. 270,269.5 𝑘𝑗 𝑘𝑗 𝑘𝑔 4.185 ∗ 1950 𝑙𝑏𝑠 ∗ 𝑘𝑔 ∗ 𝐾 2.204 𝑙𝑏𝑠 = Δ73 𝐾 = Δ73 °𝐶 The temperature tolerance of fermenting beer is between 15.5 and 26.6 °C. The non-ideal mixing of ethanol and water results in a heat release of 777 j/mol; a small figure in comparison to the enthalpy of formation released during glucose consumption and shall be assumed to be 73 | P a g e negligible. The total heat to account for by the cooling water is summarized in Table 19. The pump calculations are the same as mentioned previously. Table 19: Energy Calculations for the Fermentation Tank and Pump. Fermentation Tank Heat of formation (kj/mol): -73.4 Attenuation: lbs glucose: M.W. (mol/lb) Glucose: 75% 1950 2.517 Pump Power Req'd hp 5 pump capacity GPM 215 kg/s 13.54 running at 200 GPM Heat Evolved 270,269.5 GPM 200 kg/s 12.59 kW req'd at 3.782 capacity kW req'd at 3.518 200 GPM Fermentation does not occur in the brightening tank because all of the yeast is filtered out of the beer, preventing further reactions from occurring. Therefore, the cooling water only has to maintain the tank temperature for conditioning purposes and was considered negligible. The total amount of energy required for this process was plotted against the different mashing temperatures tested. The differences in total energy (in kW) are outlined in Table 20 for batch, monthly, and yearly differences and the batch scale differences graphed in Figure 17. It can be seen from the graph that the energy required for each batch at different mashing temperatures increases with temperature and is important for economic analysis. The mashing temperature selected for this brewery is 70°C in order to sell our product for the most amount of 74 | P a g e money as a result of the superior product quality. The cost resulting from the increased energy requirement must not exceed the profit expected from sales otherwise the business will not be successful in making a profit. Table 20. Comparative Energy Consumption in kW for the Three Tested Mash Temperatures. Total Energy (kW) kW per batch 55C 63C 70C 113.44 122.44 130.615 1958.98 2089.84 kW per month 1815.09 kW per year 21781.04 23507.75 25078.08 Energy Requirement per Batch 135 kW Required 130 125 120 115 110 105 100 55C 63C Temperature of Mash 70C Figure 17: Energy requirement difference for each experimental mash temperature, per batch. 75 | P a g e Aspen Model Flow Sheet Figure 18: Aspen Flow Sheet 76 | P a g e Beer P r o d u ctio n Mo d elin g S tr eam I D Temp eratu r e F P r es s u re p s ia V ap o r F r ac Mo le F lo w lb m o l/h r Mas s F lo w lb /h r V o lu me F lo wcu ft/h r En th alp y Mas s F lo w WA TER G cal/h r lb /h r CO LD -H 2 O EX TRA CT1 EX TRA CT2 EX TRA CT3 G RI S T H 2 O V A P O RH O P S H TR1 - H 2 O H TR2 - H 2 O MA S H - H 2 O MI LLG RN S P EN TG RN S P RG - H 2 O W O RT- BIT W O RT- S WT 7 0 .0 1 4 5 .4 8 0 8 4 .2 1 4 0 .0 1 5 1 .3 2 1 2 .0 7 7 .0 7 0 .0 7 0 .0 1 5 2 .6 7 7 .0 1 4 0 .0 1 5 0 .0 2 1 2 .0 1 4 0 .0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 4 .5 0 2 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 4 .5 0 2 1 .0 0 0 0 .0 0 0 1 .0 0 0 0 .9 6 2 4 3 .0 5 8 2 2 .1 5 5 4 3 .6 8 4 4 3 .6 8 4 2 2 .1 5 5 7 7 5 .7 0 8 5 0 0 .5 6 3 8 8 8 .4 1 7 8 8 8 .4 1 7 5 0 0 .5 6 3 1 2 .4 5 4 1 3 9 7 1 3 .6 7 3 4 .0 0 5 2 9 E+6 4 .0 0 5 2 9 E+6 1 3 9 7 1 3 .6 7 3 - 1 .3 3 4 7 7 5 .7 0 8 S TA RCH S TA RCH - S S TA RCH - I D RY G RA I N HOPS Mas s F rac WA TER 7 7 5 .7 0 8 7 7 5 .7 0 8 0 .0 0 0 2 1 .5 2 9 3 8 7 .8 5 4 6 .2 2 7 0 .0 0 0 1 .0 0 0 2 1 .5 2 9 2 1 .5 2 9 3 8 7 .8 5 4 3 8 7 .8 5 4 6 .2 2 7 1 4 1 4 5 7 .8 4 8 - 0 .6 4 6 - 0 .0 6 0 - 0 .0 0 4 - 0 .6 6 7 - 0 .6 6 7 - 0 .5 6 1 3 8 7 .8 5 4 4 1 .4 9 4 3 8 7 .8 5 4 3 8 7 .8 5 4 3 8 7 .8 5 4 8 1 .2 6 3 3 1 .4 4 6 8 1 .2 6 3 3 1 .4 4 6 8 1 .2 6 3 0 .0 0 0 0 .6 2 6 1 1 2 .7 0 8 1 .5 3 8 5 .4 0 4 1 2 5 .6 6 3 - 0 .0 8 5 9 4 .2 1 8 1 .0 0 0 2 1 .5 2 9 3 8 7 .8 5 4 1 4 0 8 5 7 .1 4 8 0 .0 0 0 3 5 .9 7 6 7 2 1 .2 5 9 1 2 .0 6 5 - 0 .5 6 1 - 1 .1 3 8 3 8 7 .8 5 4 6 3 9 .9 9 7 6 8 1 .4 9 1 8 1 .2 6 3 8 1 .2 6 3 0 .8 8 7 0 .8 9 3 0 .1 1 3 0 .1 0 7 3 5 .5 2 5 3 7 .8 2 8 0 .4 5 1 0 .4 5 1 3 8 .2 8 0 7 6 2 .7 5 4 1 1 2 .7 0 8 tr ace 3 1 .4 4 6 3 1 .4 4 6 2 .5 3 8 1 .0 0 0 0 .7 7 5 0 .8 7 3 0 .8 7 3 0 .7 7 5 1 .0 0 0 1 .0 0 0 1 .0 0 0 1 .0 0 0 0 .2 2 5 0 .1 6 2 0 .0 6 3 0 .0 9 1 0 .0 3 5 0 .0 9 1 0 .7 5 0 1 .0 0 0 1 .0 0 0 2 PPB 0 .0 3 5 0 .2 5 0 1 .0 0 0 lb m o l/h r WA TER 4 3 .0 5 8 2 1 .5 2 9 4 3 .0 5 8 4 3 .0 5 8 S TA RCH S TA RCH - S S TA RCH - I D RY G RA I N HOPS 0 .0 0 0 0 .1 4 1 2 .5 3 8 0 .0 4 1 1 1 2 .7 0 8 S TA RCH S TA RCH - S S TA RCH - I D RY G RA I N HOPS Mo le F lo w 3 8 7 .8 5 4 1 .0 0 0 2 .3 0 3 4 1 .4 9 4 1 1 4 4 .7 7 9 2 1 .5 2 9 2 .3 0 3 2 1 .5 2 9 0 .6 2 6 0 .4 5 1 0 .1 7 5 0 .4 5 1 0 .1 7 5 0 .4 5 1 2 1 .5 2 9 2 1 .5 2 9 5 .2 3 0 2 1 .5 2 9 0 .6 2 6 tr ace 0 .1 7 5 0 .1 7 5 0 .1 4 1 77 | P a g e Aspen Model Description A very modest attempt to model our brewery as one complete operation is depicted in Figure 18. Ideal properties were used because the majority of the operation in a brewery takes place at atmospheric pressure. The cold water flow into the plant was split into two streams, one for mashing temperature and one for sparging. The heat duties calculated at each heater were in BTU/hr and multiplied by the 388 lbs/hr resulted in an estimated 163,555,580 BTU/hr of heat is being sent to heat a cold water stream from 70°F to 153°F. To see if this value was accurate we calculated as if our batch process was operating continuously. If we heated 9308 lbs/hr it would require: 9308 𝑙𝑏𝑠 𝑘𝑔 𝑘𝑗 𝑘𝑗 ∗ 4.134 ∗ (342𝐾 − 294 𝐾) = 𝑄 = 838024 2.204 𝑙𝑏𝑠 ℎ𝑟 𝐾 ∗ 𝑘𝑔 ℎ𝑟 Modeling a batch process in aspen proved to be difficult because many of the components required in our process were not available in the ASPEN. The most crucial component in our system, fermentation, was not able to be modeled. For these reasons our project was based on experimental results. 78 | P a g e Hazard and Operability Study The design of this brewery involves numerous reaction vessels and pipelines which have the potential to present a risk to personnel or prevent an efficient operation. A hazards and operability analysis (HAZOP) was performed on each component of the brewing process to ensure all potential hazards and process limitations were acknowledged and preventative measures were instilled in the design. The components from the overall flow diagram (see Figure 16) were analyzed separately and are shown in Figure 19 through Figure 30. Silo and Mechanical Solid Screw Auger Inlet: Grain from grain truck Silo Mechanical Solid Screw Auger Figure 19: Silo and Auger Conveyer A major concern for the silo component shown in Figure 19 is for metal impurities that could either be a part of the shipment of grain, or enter the silo if it is not properly sealed. The metal contaminants pose a hazard to the quality of the product. They also can cause a spark when in contact with the other metal equipment resulting in a spark and potential explosion risk to the fine dust created from the grain. Installing a magnet to remove any metal fragments 79 | P a g e contaminating the grain will reduce the risk of explosion and help ensure the purity and quality of the product. Incorporating a safe distance between the building and the silo in the design is also essential to reduce the risk of explosion. Grain Mill Grain Mill Outlet: Milled grain to Mash Tun Inlet: Intact Grain from Silo Figure 20: Diagram of Grain Mill. Milling the grain serves to the purpose of breaking down the husks to allow for more absorption of the sugars to the water during the mashing process. During this grinding process, a fine dust can accumulate on the other vessels in the brewery. This hazardous dust can lead to possible explosion, but also forms a sticky, glue-like substance when in contact with water. It is imperative to control the accumulation of this dust by covering the mill to collect any residue and to install a vacuum system for debris removal. Another major concern regarding the quality and purity of the product is the possibility of any contaminants in the grain. Ensuring that the silo, conveyer and mill are enclosed and sealed reduces the risk of any environmental contaminants as well as any insect or rodent contamination (Handbook of Brewing citation). 80 | P a g e Mash Tun Water from Instant Hot Water Heater Mash Tun Milled Grain from Mill Mash fed to Boiling Kettle Recirculated water Figure 21: Diagram of Mash Tun. The outer lines depict the insulation. During mashing, starches are extracted from the grains and broken down through enzymatic activity into simple sugars. At temperatures above 70oC and below 55oC, the enzymes are denatured or inactive, preventing the cleaving of starches. Maintaining the temperature of the vessel during the hour long mashing time is essential to extracting the maximum amount of fermentable sugars and establishing the unique sugar profile of the wort. The major element controlling the mash temperature is the insulation around the vessel. If there is a crack or defect in the insulation, the tank temperature will fall below the brewer’s window (Priest & Stewart, 2006) and the product will need to be disposed of. If inlet water temperature from the hot water heater is too high, the tank temperature would be too high and the batch would need to be disposed of. A temperature indicator alarm must be installed to monitor the tank temperature and prevent exceeding the optimum range. During mashing, the water/wort is heated and some vaporization occurs. If boiling is induced from the hot water heater, the product is void, and a buildup of pressure without a relief valve could cause the tank to rupture and leak. Overfilling of 81 | P a g e the tank can also cause tank rupture and leaking. This can be the result of over filling the tank if the valve from the water supply fails to close. An LAH and shutoff valve should be installed to prevent this occurrence. Boiling Kettle Steam from Generator Hot Mash from Mash Tun Boiling Kettle Recirculated Wort Wort fed to Heat Exchanger Figure 22: Diagram of the Boiling Kettle. The outer vessel is the steam jacket. The boiling kettle employs a steam jacket to keep the liquid at a rolling boil for over an hour. Boiling over due to excessive heat causes a loss of product, and the expelling liquid creates a sticky film that is difficult to clean. If the pump speed is too high and the flow rate of the steam is too fast, the tank could over heat and cause a boil over. If the pump fails, the inlet steam valve is closed or not enough steam is produced, the tank temperature could be too low and a boil would not be induced. The vessel could also be overfilled if the mash was diluted while being transferred. This could cause a rupture or leak in the vessel and in turn, a loss of product. If the 82 | P a g e valves for the exit streams from the kettle are open during the transfer of the mash, the product will immediately exit the tank. A FICA should be installed to acknowledge any open valves that should be closed. In both the mash tun and boiling kettle steam jacketed vessels, a leak in the dividing wall between the jacket and main tank would contaminate the product. An emergency shut off should be installed for this case and routine inspection or maintenance should be followed to ensure the structural integrity of the equipment. The recirculation line with the pump induces the whirlpool to center the solids for wort removal. Heat Exchanger Hot wort from Boiling Cold Water Kettle from Cooling Unit Cooled Wort fed to Fermentation Tank Heat Exchanger Warm water from Heat Exchanger Figure 23: Diagram of the Heat Exchanger. The heat exchanger quickly cools the wort draining from the kettle to be fed into the fermentation tank. The glycol/water solution from the cooling unit reservoir is fed through the heat exchanger and into the main water supply entering the heating unit. The essential aspect of the heat exchanger is the flow rate of the hot and cold fluids. If the pump from the cooling unit fails or has too fast of a flow rate, the product would be too hot or cold (respectively) entering the fermentation tank causing yeast to die. If the pump from the boiling kettle fails or has too fast of a flow rate, the same consequences would occur. If the city water valve leading to the cooling unit is not opened, there would be no flow of the cooling solution to the heat exchanger and the 83 | P a g e liquid would be too hot entering the fermentation tank. Flow indicator alarms should be installed on all streams around the heat exchanger to control the fermentation temperature is ideal for yeast activity. Routine cleaning and maintenance of the equipment is also required. If a plate should rupture, all of the product would be contaminated with glycol and water. Primary Fermenter Cooling Water from Cooling Unit Fermentation Tank Beer fed to Filter Unit Cooled Wort from Heat Exchanger Cooling Water Recirculated through Cooling Unit Spent Yeast Figure 24: Diagram of the Fermentation Tank. The outer vessel is the jacketed for cooling. Adding yeast to the wort to induce fermentation and the production of alcohol occurs in the fermentation vessel. The tank is jacketed with the cooling glycol/water solution maintaining a constant temperature. Temperature is a crucial element in the fermentation process in order to maximize the functionality of the yeast. If the cooling unit keeps the solution at a temperature that is too low or too high, the tank temperature will negatively affect the quality of the beer. A temperature indicator alarm should be installed to monitor the coolant temperature and the beer temperature. The flow of the coolant which is determined by a pump also affects the temperature; therefore, an FICA should also be installed. Changes in pressure during the 84 | P a g e fermentation process are the result of carbon dioxide formation. If there is no relief valve on the tank, pressure could build up and cause the tank to rupture or explode, or the jacket to leak into the beer resulting in batch contamination. A pressure relief valve should be installed as well as a bypass valve in case the relief valve became blocked. A PIA should also be utilized. Another major concern for brewers is the potential of implosion (Yates, 2011). If a vent is not opened when the solution is being pumped out, the negative pressure would cause the tank to fold in on itself. It can be attempted to pressurize the tank in order to push the walls back out, but the structural integrity of the material is compromised (Yates, 2011). A PIA and emergency pump shutoff should be installed Filter Filtered Beer fed to Brightening Tank Filter Beer from Fermentation Tank Figure 25: Diagram of the Filter. The filter prevents any residual yeast or solid residue from entering the brightening/conditioning tank which is directly linked to the bottling and keg filing steps of the process. Ensuring that the quality of the product is consistent depends on the flow and pressure within the filter unit. If filter clogs or is damaged, the major effect would be a delay in the process or more damage due to pressure done to the filter. If the valve for the solid residue fails to close, the product would be lost. If the valve from the tank does not open to remove the solid accumulation, excessive amounts of solids would be sent to the filter contributing to clogging or 85 | P a g e filter unit damage. A FIA should be installed on the exit stream valve to monitor the flow of the solid products. If there is damage to the filter or it becomes clogged resulting in a pressure buildup, the unit or the piping could rupture and leak causing loss of product. Routine cleaning and maintenance as well as a PIA should be used. Brightening Tank Cooling Water from Cooling Unit CO2 Tank Beer fed to Distribution Vessels Brightenin g Tank Filtered Beer from Filter Unit Cooling Water Recirculated to Cooling Unit Figure 26: Diagram of the Brightening Tank. The brightening tank has the same jacketed structure as the fermentation tank, but all of the yeast and solids are removed by the filter so there is no outlet for solid residue. In the brightening tank, no additional fermentation occurs; the beer is conditioned by sitting and allowing the flavors to develop. Carbon dioxide is also pumped into the vessel to carbonate the beer before proceeding to the bottling and kegging lines. The temperature and pressure concerns for the fermentation tank apply to the brightening tank, the only deviation being that CO2 is pumped into the brightening tank as opposed to CO2 being produced during fermentation. Excessive amounts of CO2 pumped into the tank without a relief valve could cause tank rupture and leaking or explosion. If the CO2 tank had a leak in the line to the vessel, the product would not be carbonated. A PIA should be installed to prevent wasting gas and delaying the process. If 86 | P a g e the flow reversed back into the gas storage container, the unit could explode. A check valve should be employed in the line from the cylinder to the tank. Bottler/Labeler, Keg Filler, and In House Kegs Keg Filler Beer from Brightening Tank Bottler/labeler In House Kegs Figure 27: Block Diagram for the Bottle/Labeler, Keg Filler, and In House Kegs. The bottling and kegging process is the major component for the distribution of product. The in house kegs hold the lowest percentage of each batch, but all the storage containers share similar hazards involving contamination, overfilling and pressurizing, and losing product to spills. If the bottles are not washed and sterilized properly, or allowed to dry in a sterile environment, bacterial growth and contamination can occur which would result in loss of product. If the pump from the brightening tank has too high of a flow rate and the only one valve is open (to either the in house, kegs, or bottler), pressure can build in the pipes and possibly result in overflow and loss of product. If the valves are not open at all either to the filling units or from the brightening tank, the process would be delayed, negative pressure could occur in the pipes, and the pump could become damaged. Installation of FIAs could prevent this occurrence. 87 | P a g e Steam Generator Steam Generator City Water Feed Steam fed Boiling Kettle Figure 28: Block Diagram of the Steam Generator. The steam generator plays a crucial role in product quality. Maintaining constant temperature in the mash tun and boiling kettle is essential to reproduce the extraction and fermentable sugar profiles which determines the taste of the beer and alcohol percentage. If the steam flow is not controlled properly, the product could be lost. The steam also feeds to the instant hot water heater to bring the mash water to temperature. If there is not enough water flowing into the generator to maintain pressure in the pipes, or the natural gas burner malfunctions, the inaccurate temperatures will cause loss of product. A PIA should be installed to control the pressure in the piping. If condensation occurs within the pipes due to loss of pressure and temperature, the wet steam will not provide adequate heat transfer to the vessel to keep the product at temperature. Producing too much steam due to threshold sensor malfunction can build pressure in the pipes and possibly cause pipe leaks and ruptures. Routine maintenance and testing must be performed on the pressure sensor installed in the pipes to ensure that the threshold is accurately measured. If the water line to the generator is blocked or the valve not opened, no steam will be generated and therefore no product will be produced. Flow indicator alarms should be installed to monitor water flow to the generator and detect any leaks that could prevent enough steam from being produced. 88 | P a g e Instant Hot Water Heater Hot Water fed to Mash Tun City Water Instant Water Heater Figure 29: Diagram of the Instant Hot Water Heater. The instant hot water heater is temperature controlled by electrical controls. The outlet feeds directly to the mash tun which requires exact and constant water temperature. If the water flows too low, the temperature of the water will be too high going into the mash. If the water flow is too high, the mash temperature would be too low going into the mash causing loss of product. Failure of valves to open leading into the mash tun can result in delay of the brewing process and pressure buildup in pipes. A FIA and PIA should be installed to prevent the deviations in water temperature. Cooling Unit Cooling Unit Recirculated Cooling Water City Water Cooling Water fed to Fermentation and Brightening Tanks Cooling Water fed to Heat Exchanger Figure 30: Diagram of the Cooling Unit. 89 | P a g e The cooling unit is another essential quality control component in the brewing process. The glycol/water mix is kept in a temperature regulated reservoir and circulated to the jackets of the fermentation tank, brightening tank and heat exchanger. Like the steam generator, temperature control and flow is crucial to quality control of the process. If the unit malfunctions and the temperature is either too hot or too cold, the water used to cold the wort and the tank temperatures will be wrong causing a loss of product. If the pump malfunctions and the flow rates to each component are too high or low, it will have the same loss of product consequence. A TIA and FIA should be installed to monitor the temperature and flow in order to ensure consistent product quality. 90 | P a g e Environmental Impact Analysis The brewing process accumulates solid wastes which must be disposed of according to the Code of Federal Regulations (CFR) and the Connecticut Department of Environmental Protection (DEP). According to CFR Title 40 section 243.203-1, solid waste containing food products must be removed of at a minimum of once a week. Section 243.200-1 states that any reusable waste containers that are manually emptied cannot exceed 75 pounds when filled or have a capacity greater than 35 gallons in volume [243.200-1]. Therefore, when storing the spent grain after mashing to be donated to a local farm must be removed from the premises every week in 75 pound patches. Until removal, all waste containers must be stored on a drained surface large enough to accommodate all barrels [243.200-2]. This brewery produces 2919 lbs of spent grain (755 lbs of unabsorbed material which absorbed 2164 lbs of water); 39 barrels of grain will be produced per batch meaning 156 barrels must be removed per week. Yeast is another solid waste product that can be Figure 31: Diatomaceous Earth reused for approximately 180 batches (Harris, 2011) before it is necessary to re-pitch. Once the reused yeast is exhausted, it can be sterilized and sent to farmers as a protein additive for cows (Lehloenya KV, 2008). During the filtration process, the wort is clarified using a diatomaceous earth filter. Diatomaceous earth is an aggregate of fossilized unicellular water plants called diatoms which have skeletal shell comprised almost entirely of silica. The powder material is deposited on a mesh as a pre-coat and added to the filter constantly to ensure there is always an active surface (Golden Harvest Organics LLC). The filter cake can become clogged and must be removed and replaced. In 91 | P a g e powder form, diatomaceous earth can be toxic and carcinogenic when inhaled at a great frequency and concentration, but is non-hazardous when wet (Baker, 2008).Under the Resource Recovery Act (40CFR sect. 261) from the federal government, diatomaceous earth is not recognized as a hazardous material unless it is used to filter hazardous material. The Connecticut DEP has no requirements for disposal into sanitary sewers, therefore, the spent D.E. can be discharged into the waste stream or removed to a landfill. The waste water produced during the brewing process contains biological matter such as enzymes and fermented beer contains alcohol. The cleaning supplies used in this process (Star San and PBW, see Cleaning Materials) must also be considered when planning the waste treatment system prior to releasing hazardous agents in to the public sewage water supply. The cleaning materials used in this process are biodegradable, environmentally friendly, and the chemicals are not included in any hazardous waste classification according to the Code of Federal Regulations and the Connecticut DEP. Disposing of a contaminated or poor quality batch of beer must adhere to the sewer compatible waste water regulations. Through the Connecticut DEP, the “General Permit for Miscellaneous Discharges of Sewer Compatible (MISC) Wastewater” must be filed. This permit states that a holding tank for waste water to be treated must have a 110% secondary containment storage capacity and be equipped with a high level alarm system to indicate that the vessel is at 80% capacity. The effluent limitations are another major concern regarding waste water treatment. The Connecticut DEP permit specifies acceptable biochemical oxidation demand (BOD) levels, pH range, and turbidity of any filtered material in order to be discharged into the sewer mains. The BOD the amount of oxygen required by aerobic biological organisms in a body of water to break down the organic material present over a certain time period (usually 5 days) (ALAR 92 | P a g e Engineering Corporation, 2010). The acceptable BOD as determined by the DEP is 600 mg/L; however the average BOD of beer is greater than 25,000 mg/L (Russell, 2003) A contaminated batch of beer that needs to be disposed of would therefore need to be treated in order to be disposed of down the drain. Filters that separate solids from liquids must be installed to bring the BOD level to acceptable standards before disposal. The DEP also requires the pH range of 5.0 to 11.0 to be considered sewer compatible. Unfermented beer typically has a pH of 5.3-5.5, while fermented beer has a lower pH range of 3.8-4.5 due to yeast activity. The pH of fermented beer is too high for sewers and must be treated with caustic solution to be neutralized before disposal. The regulations for filtered materials dictate that the turbidity of a filtered sample cannot be more that 1 NTU (Nephelometric Turbidity Unit). If the sample has a higher turbidity, it must be re-filtered before being disposed of into the public water supply. Other References: (Steed, Steed, & Steed, 1992) (Regulation, 1989) 93 | P a g e Expenses Batch Size Reduction Having set the production of the brewery to 13,000 barrels a year the next task required was to determine the volume per batch and number of batches per week. The decision to brew four-1950 gallons batches a week was influenced by equipment and energy costs associated with energy losses as well as the concerns with cost risk per batch. The production throughput decided upon involves having eight 80-bbl fermentation tanks and eight 80-bbl brightening tanks. An operation with double the volume and half the number of brew days resulted in the requirement of four 145-bbl fermenters and brightening tanks. Larger tanks required more energy to maintain the liquid inside of them at proper temperatures and the larger surface area would incur larger energy losses than smaller tanks. This same logic was applied across the process to the mash tun, boiling kettle, and instant water heater. One critical factor that influenced the reduction in batch size was the fact that the instant hot water heater required to heat the mash water directly depended on the amount of times a day this brewery would be brewing. If this brewery was to brew two times a day for two days during the week it would require two instant hot water heaters. This would be due to the fact that the hot water would need to be heated for the first batch within a four hour time period and the same would need to be done for the second batch. This would require a total energy consumption of 813 kW for the week. If one batch was done for four days a week there would only need to be a single hot water heater. This hot water heater would be turned on at the end of a work day and slowly heat the water into the mash tun over a 12 hour period. This hot water would be ready for use when the employees arrived in the morning. The total energy required for the week to heat 94 | P a g e the mash water in this case would only be 136.7 kW. This value is an 83% reduction in required energy than using the two day a week method. An additional concern that influenced the decision to choose smaller batch sizes was the risk associated with potential contamination of product. A batch double in size represents double the cost should it become unfit for consumption and have to be discarded. Thus, the most energy efficient method and least cost-risk batch size for this process chosen and brewery output was decided upon 1950 gallon batches to be brewed four times a week. Grain Pricing The distributor chosen for the grain used in this brewery would be The Country Malt group out of New York. The most consumed type of gain in this brewery would be 2-Row Malt. Each batch would require 2387 lb of 2-Row malt which in turn requires a silo for the bulk storage of this grain. The type of 2-Row that would be chosen is manufactured by Canada Malting Company. In order to maximize the amount of grain in the silo, The Country Malt group is able to ship a truck load of about 48,500 lbs of this grain to the brewery for about $17,295.10. This amount of grain would last this brewery about 4.25 weeks and would mean that there would need to be about 12 truck-loads a year for a price of about $207,541. There are also two types of specialty grain that would be used in this brewery; Caramel Malt and Carapils Malt. The required amount of Caramel Malt per batch is 159 lbs which is equal to 2544 lbs a month. The manufacturer for this grain is Thomas Faucet and Sons Malting which would be delivered by The Country Malt Group. Once again, this company had the best extraction at 77% and the lowest price of $0.13 per pound. This type of grain is sent in 55 lb bags on a pallet. Each pallet contains 42 of these 55 pound bags and this brewery would require one pallet to be bought each month. The total pallet cost for this grain with shipping would be $126.66 per month totaling 95 | P a g e $1,519.92 each year. For the Carapils Malt the same amount of grain would be used as the Caramel Malt. The manufacturer chosen for this type of malt would be the Malteries FrancoBelges company which would be delivered by The Country Malt Group. The reason this company was chosen was because the extraction was the highest at 85% and it had the lowest price at $0.012 per pound. This brewery would require one pallet each month at a price of $124.56 which totals $1,494.72 per year. Water Usage One of the main components of beer is water, and it is extremely important to estimate how much money would be invested in water consumption each month. A brewery based in Storrs, Connecticut would receive water from Windham Water Works. The going water rates from Windam are $2.12 for each 100 ft3 of water. Each batch of beer produced in this brewery would require 2238 gallons of water for brewing, with an additional 682.5 gallons being used for cleaning and sanitizing. There is a total of 2958.5 gallons of water consumed for each batch and the water usage per time summary is available in Table 21. After converting from gallons to ft3, it was calculated that this brewery would pay $8.27 for each batch made, $132.29 each month and $1,587.46 each year. Total Water Per Total Water Total Batch (gallons) Per Batch Per (ft3) (ft3) 2920.5 390 6240 Water Price Water Price Water Price Water Month Per Batch Per Month Per Year $8.27 $132.29 $1,587.46 Table 21: Price of Water Used in the Brewery for Each Batch and for Each Month. 96 | P a g e Cleaning Materials Aside from raw materials in this brewery it is necessary to purchase cleaning supplies. In any brewery the largest concern is keeping the equipment and work areas clean and sanitized. Failure to do so could possibly result in contamination of a batch which would result in an economic loss to the company. Several choices of chemicals exist for cleaning the insides of the fermentation tanks, mash tun, and boil kettle. This brewery has chosen to use Powdered Brewer’s Wash (PBW) manufactured by Five Star. PBW is an alkali cleaner originally developed for Coors and is now offered for use in any brewery across North America. The ratio commonly used to clean the inside of any tank is one ounce of PBW added for every gallon of water added. The equipment is soaked overnight and rinsed the following morning and does not require any scrubbing. It is safe for use on soft metals, rubber gaskets, and has the added benefit of not being harmful to exposed skin. It is an environmentally friendly, biodegradable product. This brewery would require the use of 682.5 gallons of cleaning water per every batch (Priest & Stewart, 2006, p. 95). This number is based on the assumption that for each batch of beer made there will be an additional 35% of water used for cleaning. Fifty percent of this fraction is estimated to be used for general tank rinsing. Thirty percent of this water (102.38 gallons) would be used towards cleaning the tanks with PBW as can be seen in Table 22. This amount of water would require 102.38 oz. of PBW per batch and equates to 102.38 pounds per month. The supplier Country Malt sells PBW in 450 pound drums for $1000. Approximately one drum would be required every 4 months. Another 15% of the total cleaning water was estimated to be used for general warehouse house. Examples of this include rinsing the floors, cleaning instruments, and other general rinsing. 97 | P a g e Cleaning Water Usage Purpose Amount Chemical Needed N/A 50 % (341.25 Tank Rinsing gallons/batch) 30% (102.38 PBW Washing 102.38 oz. / batch gallons/batch) 15% (51.19 General Rinsing N/A gallons/batch) 5% (17.06 Star San 4.41 oz. / batch gallons/batch) Washing Table 22: Break Down of Cleaning Water per Batch. Chemical Price N/A $1000 every 4 Months N/A $118 every 8 Months The final 5% (17.06 gallons) of the cleaning water would be used to make Star San sanitizer solution. Star San sanitizer is a food-grade acid rinse for destroying microbes from brewing and wine making equipment. It is self-foaming that allows for penetration of hard to reach cracks and crevices. This chemical is flavorless as well as odorless. It is used as a soaking solution and can be applied by hand or with a spray bottle. Typically one ounce of Star San is used for every 5 gallons of water added. It is safe for use on all surfaces, but since it is a phosphoric acid based cleaner it is recommended that contact with rubber, plastic and metal be kept to a minimum. Star San is also environmentally friendly, biodegradable. In this brewery Star San would be used to clean connections of piping as well as other small pieces equipment in the in the brewing process. Each batch is estimated to require 3.41 oz. of Star San which equates to 54.56 oz. a month. It is available in four gallons (case of 4 one gallon jugs) from Country malt for $118. This would need to be purchased every four months (Northern Brewer, 2011). 98 | P a g e Hop Pricing Saaz and Cascade Hops would be used in the brewery according to the experimental recipe, Table 5. Both of these hops would be bought from The Country Malt Group and be delivered directly to the brewery. This brew recipe would require 36.6 lbs of Cascade hops for each batch for a total of 585.6 lbs per month. The price per pound of these hops is $6.17 which totals $3613.15 per month and $43,357.80 a year. This recipe would also require 24.4 lbs of Saaz Hops per batch for a total of 390.4 lbs a month. The Country Malt Group sells Saaz at $7.26 per pound which would total $2834.3 per month and $34,011.60 a year for this brewery. Yeast Pricing British Ale yeast (WLP005) produced by White Labs and distributed by The Country Malt Group would be used for fermentation. This particular strain of yeast is excellent in producing malty beers, has up to 90% attenuation, and comes in 1.6 liter packaging for $208. It was estimated that 34.5 liters of yeast would be pitched for each batch. If new yeast were to be pitched for every batch the price would equate to $4,576.00. Since yeast is a living organism that grows and multiplies with each batch of beer, it can be cultured and reused many times. The number of batches that yeast can be reused is dependent the time when yeast is removed from the fermentation vessel and on the quality of the culture environment. A yeast culture has been successfully used for over 180 generations and it has been assumed that culture conditions will allow for an equivalent return on yeast purchases (Harris, 2011). Yeast would be purchased approximately once per year. CO2 After the beer has finished fermenting in the fermentation tanks it is pipes into brightening tanks. There is a very small amount natural formation of CO2 during the fermentation 99 | P a g e process. This small amount is calculated to be 8.4 x 10-3 lbs of CO2/gallon of beer for each batch. This value does not hit this brewery’s target concentration of 0.024 lbs of CO2/gallon of beer. In order to achieve this, CO2 must be pumped into the sealed brightening tank in order to further carbonate the beer. Each batch would require an additional 47.57 lbs of CO2 to be added during this process. An outdoor CO2 holding tank must be constructed in order to store large amounts of CO2 for multiple batches. The choice of distributor for this tank and supplier of CO2 would be Esquire Gas Company. They would be able to supply this brewery with a 4 ton capacity CO 2 tank to be constructed directly outside of the warehouse for an installation cost of $10,000. An additional rental fee would apply, costing $400 dollars a month. The unit cost of CO2 from Esquire is $0.15/pound and tank recharges would be on a request basis. The proposed tank has a 4 ton capacity it would only need to be filled once each year. The annual cost for CO2 would be $6,170.00 a year to rent and fill, plus a start-up cost of $10,000. The first two years would cost $16,170.00. O2 Aeration of the wort requires oxygen to be fed into the cool stream coming out of the heat exchanger. The calculated amount of oxygen required for each batch is 0.127 lbs. This oxygen must be on hand for each batch within the brewery. To achieve this, this brewery would use Aero All Gas as their oxygen supplier. A requirement of 2.032 lbs of O2 each month would require a 244 ft3 oxygen tank containing 21.8 lb. The cost for filling the tank is $29.95 and an annual rental fee costs $50.00. The capacity of the cylinder is estimated to be 10 batches and would require a monthly refill. There would be a $20 delivery charge per making the total first year cost $649.40. 100 | P a g e Diatomaceous Earth Since this brewery would be using a diatomaceous earth filter, it is necessary to acquire the D.E. powder for the filter. It is calculated that this brewery would need one and a half 50 lb bags of diatomaceous earth for every batch produced (Yates, 2011). This leads to a total amount of (24) fifty pounds bags of DE per month. This DE would be acquired from Country Malt for a price of $36 per bag and equate to $864 each month. General Waste Disposal In order to dispose of bulk trash items and bulk cardboard, this brewery would need to rent two dumpsters from Willimantic Waste Company based in Willimantic, CT. Both dumpsters would be 8 cubic yards in size. One would be specifically used for trash and the other for cardboard. A bi-weekly pickup schedule would be chosen due to the fact that the dumpster’s size will allow for longer fill periods than if a smaller dumpster size was chosen. It would cost the brewery $129 a month to rent the trash dumpster and an additional $30 a month to rent the cardboard dumpster. The total amount for general waste disposal would be $159 dollars a month, which would need to be paid to the Willimantic Waste Company for their services. 101 | P a g e Labor Proprietor Secretary Brewer Master Cleaner Brewer’s Assistant Inventory/Distribution Specialist Figure 32: Labor Distribution Tree Proprietor The owner of the brewery has the greatest amount of responsibility in this company. They are responsible for overseeing all of the operations performed within the brewery. They are in charge of making all decisions related to expenses such as ordering equipment, hiring new employees, setting their salaries and benefits, and how to make the company grow. The owner must balance the company’s budget and by limiting spending that does not contribute towards generating revenue. Economic growth and company expansion are the goals for the owner if the company and its employees are to prosper. Apart from making day to day decision the owner must be willing to adapt to customer and industry demands in order to stay competitive in the market. This can mean exploring process improvements to upgrade the production flow. The 102 | P a g e optimization of process efficiency is extremely important in order to save the company money. This is a concern the owner must always keep in mind and is trying to achieve with as little spending as possible. Ideally in this brewery the owner should approximately make $100,000 annually. Secretary The secretary for the brewery plays an important role in keeping the company organized and maintaining positive public relations. Not only is it important the secretary makes sure that the public view the company in a professional manner but also to help maintain a good rapport among employees, venders, and customers. They are directly responsible for answering and returning telephone calls as well as emails for the brewery. Tours that will occur within the brewery for the general public must be organized and set up by the secretary. The secretary must also set up meetings for the owner with possible clientele or any other general company representative. Another very important role the secretary plays in the company is maintaining and updating all of the brewery’s records. In this brewery the secretary will have an annual base salary of $30,000. Head Brewer The head brewer’s main responsibility is to maintain a consistent output of beer. They are in charge of checking the amounts and quality of brewing materials to maintain superior quality. The head brewer is in charge of overseeing the entire brewing operation from barley to 103 | P a g e beer, including the overseeing of tank controllers. Not only is the head brewer responsible for brewing the beer, they are also in charge of the warehouse staff. They need to make sure that all of the brewery’s day to day operations are running in an efficient and effective manner. Once a batch has reached its completion it must be inspected and tested for quality control. The head brewer is responsible for making sure each batch has brewed correctly before he can certify it to be distributed. The head brewer is also responsible for the upkeep of the brewery’s equipment and instruments. Another important part of the head brewer’s responsibilities involve research and development by the experimenting with different recipe combinations for future beers. In this brewery the head brewery is expected to make $55,000 annually for their base pay salary. Cleaner The cleaner is the aseptic technician in the brewery, responsible for maintaining the cleanliness of the entire brewery. They are specifically responsible for keeping all of the brewing process equipment sanitized and clean. Improper sanitation of the facility can lead to product contamination and the loss of an entire brew day’s production. The cleaner is also responsible for maintaining the quality of the waste water leaving any part of the brewery. It is important that the cleaner treats and wastewater stream to federal standards if it is necessary. They are also in charge of distributing and transferring spent grain to the farmers for pick up daily. General housekeeping is also a key component to the cleaner’s responsibilities. In this brewery the cleaner is expected to make $30,000 annually for their base pay. 104 | P a g e Brewer’s Assistant The brewer’s assistant’s role in the brewing process is to perform non-critical tasks so that the head brewer can maintain quality control. Duties can include operating the mill, augers, and pumps as well as transferring specialty malt to the mill for each batch. Other duties include removing spent grain from mash tun and trub from the boiling kettle after each batch and collecting samples for the head brewer to analyze. They must monitor and upkeep all of the fermentation tanks and brightening tanks in the brewery. It is important that they inspect and make sure all of the fermenters and brightening tanks remain at constant temperatures during fermentation and carbonation. The brewer’s assistant is also in charge of running the bottler, kegger, and labeler for each batch. It is also important that they be able to give tours to interested members of the general public upon their visits to the brewery. In this brewery the brewer’s assistant is expected to make $30,000 annually for their base pay salary. Inventory/Distribution Specialist The inventory/distribution specialist’s role key role is to the logistics to ensure smooth flow of materials into and out of the brewery. They are in charge of securing all finished product for the distributors and involves packing kegs and cases of bottles onto pallets. They are in charge of operating the forklift to transfer heavy materials to and from the loading dock. They are in charge of inspecting and signing off for all material entering and leaving the premises as well as directing incoming materials to their respective locations around the plant. They will maintain up to date inventory and distribution records and manage the timing for future orders. The inventory/distribution specialist is expected to make $35,000 annually. 105 | P a g e Profitability Analysis Distribution Once the final product has finished being packaged, whether it is in keg form or bottle form, it must be sent out to stores, bars, and restaurants. In order to achieve this, the brewery needs to select a distributor in order to eliminate the need for having added expenses such as buying a truck, fuel costs, driver salary, as well truck maintenance. Connecticut is what is known as a “three tier state” when it comes to the distribution process (Budweiser, 2011). This means that the brewery sets its own price for each item that will be sold to the distribution company. Once they come and pick it up they are allowed to again set their own higher price to sell to their clients in order to make a profit. The bars and restaurants that receive the beer from the distributor then can sell it for their own price to make a profit as well. In the case for this brewery, the Budweiser Distribution Company based out of Manchester, CT was the choice of distributor. The BD Company is able to reach out to a larger number of states and spread the word about the product better than many of the smaller Connecticut distributors. They are simply the largest company in this business and using them is the best option for getting the product out there. In the case of this brewery, 99% of all products will be sent out with the distributor and only 1% will be kept for in house sales. On a monthly basis 1006 kegs will be sold to the distributor for $85.00 each for total monthly sales of $85,510.00. This can be seen in Table 23 as well as 6880 cases (24-packs) of bottles per month at $18.00 a case for total monthly sales of $123,840. 106 | P a g e This particular brewery will also keep 1% of its final products to be used in house. The 16 kegs per month collected will be used for open houses and sold in pint form at $4.50 a pint. This brings the total monthly sales for the use of in house kegs to $8,928.00. In the case of bottles, there will be 320 per month used for testing and quality control within the brewery. This is to ensure that all batches are being produced in a consistent manner. Table 23: Product Distribution Distributed (99%) Number/Batch Number/Month Kegs 63.0 1006 Bottles (24 Pack) 430 6880 In House (1%) Kegs Bottles Number/Batch Number/Month 1 16 20 320 Unit Price Monthly Sales $85.00 /Keg $85,510.00 $18.00 /24 Pack $123,840.00 Unit Price $4.50 /Pint N/A Totals Monthly Sales $8,928.00 N/A Yearly Sales $1,026,120.00 $1,486,080.00 Yearly Sales $107,136.00 N/A $218,278.00 $2,619,336.00 The reason for choosing a set keg price at $85.00 and a set bottle price at $18.00 is due to the fact that the beer created in this brewery would be of high craft brew quality. A higher quality beer such as this one means that the market it is being distributed will be willing to spend the extra money as compared to lower quality beers for the better beer drinking experience. Spent Grains The solid waste that comes out of the mash tun in the form of spent grains needs to be disposed of in some form. There are many solutions to this problem for any type of brewery. One largely reusable way of disposing of spent grains is to use them for compost. This method helps provide an ecofriendly disposal of the grains which can even be used as a growing medium for mushrooms. This method however is not widely used since the smell that is developed from the rotting grain is unpleasant and overpowering. 107 | P a g e Another use for spent grain on a smaller scale is to dry out the grain and mill it into flour for the use in baked goods or dog biscuits. This is not a very cost effective method for a brewery to do them-selves due to energy requires to dry and then further mill the grain. Yet another use for the grain is to convert it into ethanol to be used as a petroleum alternative. Coors brewing company has been working with Merrick & Company since before 2005 in order to meet a growing demand for this fuel-ethanol product. Bio-plastics can also be constructed from spent grains but is a fairly new process. It requires the grain to be fully dried until it can be processed and is currently not the most favored option. Perhaps the most common use for spent grain is the unrefined use of it as feed for animals and birds. Many breweries use the grain as feed for cows since cattle require as much as 20 pounds of grain per pound of beef (O'Brien, 2007). This is the most cost effective method to dispose of this waste. Local farmers will come by and pick up the grain in order to get it for free from the brewery. This is an ideal situation for both parties since the brewery does not need to pay for the disposal of the waste and the farmer does not need to buy grain for his cattle. 108 | P a g e Economic Analysis In order to determine the economic feasibility of a venture it is crucial to perform a profitability analysis. Once this analysis is completed a decision to move forward with the venture, alter the original proposal, or cease planning would be taken. An economic analysis of this particular process was performed using the “Estimation of Capital Investment by Percentage of Delivered Equipment Method” analysis (Max S. Peters, 2003). In the case of this particular brewery all of the equipment needed were priced out exactly with specific sizing and quotations provided by different manufacturers. There were a total of 21 items that were considered essential pieces of equipment needed in order to carry out the complete brewing process. A list of these pieces of equipment, their respective manufacturers, and price can be seen in Table 24. There is an initial purchase cost of $984,353.86 for all the equipment needed for this brewery. Based off the purchased equipment cost there is an estimated 3% installation fee and another 2% for the installation and calibration of electronic equipment. In order to account for the building structure, 6% of the purchase equipment cost was chosen for the price due to the fact that this brewery would be a small to medium size operation. This was also chosen because the building materials and structure would be that of a typical warehouse so it would be relatively inexpensive. An additional 1% was assigned to go toward preparing the land and maintaining the general area of the business. All of these percentages were chosen based on given ranges provided by the model for each category (Max S. Peters, 2003). 109 | P a g e Table 24: Essential Equipment, Capital Costs, and Manufacturers. Item Silo Auger 1 Auger 2 Mill Grain Vacuum Mash Pump Brew Pump DE Filter Mash Tun Boil Kettle Heat Exchanger Fermentation Tank (8) Brightening Tank (8) Refridgeration Room Bottling Machine Labeling Machine Kegging Machine Hot Water Heater Glycol-Water Chiller Steam Boiler Piping Manufacturer Price Brock Grain Systems $10,000.00 N/A $7,000.00 N/A $7,000.00 Pleasant Hill Grain Company $7,100.00 JET $499.00 AAA Metal Fabracation $2,471.00 AAA Metal Fabracation $4,276.00 Della Toffola $73,633.86 AAA Metal Fabracation $42,336.00 AAA Metal Fabracation $33,048.00 AAA Metal Fabracation $15,000.00 AAA Metal Fabracation $268,096.00 AAA Metal Fabracation $242,232.00 Foster Coolers $5,199.00 Ager Tank & Equipment $51,635.00 Ager Tank & Equipment $19,800.00 Ager Tank & Equipment $18,900.00 Hubble $5,000.00 Glycol Chillers $24,000.00 AAA Metal Fabracation $113,890.00 AAA Metal Fabracation $33,238.00 Total $984,353.86 It is also important to consider indirect costs when constructing any new process plant. General engineering and supervision costs were estimated to be 10% of the purchased equipment cost as well as the general construction costs accounting for an additional 8%. Legal expenses were set to be 1% in order to achieve assistance with federal and state regulations as well as different contract negotiations. In order to account for different types of unforeseen events, a contingency of 8% was chosen of the purchased equipment cost. All of these percentages were chosen based on provided ranges given by the model for each category (Max S. Peters, 2003). The working capital chosen was 75% of the purchased equipment cost due to the fact that this is 110 | P a g e the given estimated percentage for this type of solid-fluid processing plant. This is very important to a company since it is what is necessary to invest in raw materials and supplies carried in stock, accounts receivable, money for monthly salaries, accounts payable, and taxes payable. In the case of this brewery it is $1,388,000. The fixed capital investment is also extremely important since it is the money necessary to instillation and preparation of the entire designed process and in this process it is $738,000. Summing the fixed capital investment and the working capital total capital investment is acquired and in this case it is $2,126,000. The amount of profit, raw material cost, as well as annual operating costs is all factored into the analysis. In this particular brewery the raw materials used as well as their manufacturer and price can be seen in Table 25. The total amount of raw materials needed in this brewery per year is $263,470.07. The amount of products that are priced out to be sold in this process total $2,619,336, as mentioned earlier. Also, the total cost that went to employee labor and salaries was mentioned earlier is $393,000. These three components were then factored in with all of the yearly utility costs for this brewery. Table 25: Raw Materials and Respective Manufacturer and Prices. Item 2-Row Barley Caramel Malt Carapils Malt Diatomaceous Earth Saaz Hops Casecade Hops British Ale Yeast (WLP005) Manufacturer Amount (Batch) Canada Malting Company 2387 lbs Thomas Faucet and Sons 159 lbs Malteries Franco-Belges 159 lbs Country Malt 50 lbs Country Malt 24.4 lbs Country Malt 36.6 lbs White Labs 34.5 L Unit Price Price (Batch) Shipping/Delivery/Rental Price (Year) Price (Year) $0.35 / lb $835.45 Included $160,406.40 $0.013 / lb $2.07 $1,344.00 $1,740.86 $0.012 / lb $1.91 $1,344.00 $1,710.34 $0.72 / lb $36.00 $480.00 $7,392.00 $7.26 / lb $177.14 Included $34,011.65 $6.17 / lb $225.82 Included $43,357.82 $132.64 / lb $25.42 Included $4,576.08 Totals $1,331.96 $3,168.00 111 | P a g e $263,470.07 There are five different types of utilities used within this brewery. These utilities can be viewed in Table 26 along with their provider and yearly costs. The use of all of these utilities totals to $1,681.89 and does not include the electricity to run the equipment. Table 26: Utilities used, Respective Providers, and Pricing. Item Provider Water Windham Water Works Natural Gas DOE Connecticut Water CO2 O2 Windham Water Works Esquire Gas Aero All Gas Amount (Batch) Unit Price Price (Batch) Shipping/Delivery/Rental Price (Year) Price (Year) 413.2 ft3 $0.02 /ft3 $8.76 $1,681.89 $1,681.89 3 3 $20.84 Included $4,001.50 $0.02 /ft3 $0.15 / lb $1.37 / lb $13.80 $7.14 $0.17 Included $4,800.00 $70.00 $2,649.83 $6,170.02 $103.41 Totals $8.76 $6,551.89 $1,681.89 2203.08 ft 651 ft3 47.57 lbs 0.127 lbs $0.0095 /ft The amount of electricity required to run this particular process was calculated using the amounts of energy required to run each piece of equipment. These amounts of energy were calculated previously in the energy balance and can be seen in Table 27. The total required amount of energy per year is equivalent to 262,878.91 kW which costs $26,782.10. The cost for waste disposal is also taken into account with the utilities. The use of non-hazardous waste disposal was mentioned earlier and totaled $1,908 a year. All of utilities that would be required to run this process on a yearly basis totals about $39,000. This value is then sent to the to the annual total production cost analysis. First however, the depreciation value is calculated for the facility. The depreciation method used in this provided model is the 5-year MACRS model and calculates the decrease in value of a facility over time. These totals are eventually used to calculate the final evaluation. Next, the annual total production cost is calculated which essentially the combination of everything previously calculated. In the case of this brewery, operating supervision is represented to be 15% of the operating labor. In addition, property taxes are factored in to be 2% of the fixed capitol income as well as 8% being for financing, and 1% 112 | P a g e Table 27: Energy Costs for Each Piece of Equipment. Component Energy Required (Batch) Energy Required (Year) Energy Cost (Batch) Energy Cost (Year) Auger 1 0.196 kW 37.632 kW $0.0200 $3.83 Auger 2 0.196 kW 37.632 kW $0.0200 $3.83 Mill 34.856 kW 6692.352 kW $3.5511 $681.82 Grain Vacuum 1.13 kW 216.96 kW $0.1151 $22.10 Brewing Pump 21.06 kW 4043.52 kW $2.1456 $411.95 Mash Pump 2.24 kW 430.08 kW $0.2282 $43.82 DE Filter 20.74 kW 3982.08 kW $2.1130 $405.69 Mash Tun 2.24 kW 430.08 kW $0.23 $43.82 Refridgeration Room 1.864 kW 134.208 kW $0.19 $13.67 Bottling Machine 4.32 kW 829.44 kW $0.4401 $84.50 Labeling Machine 0.054 kW 10.368 kW $0.0055 $1.06 Kegging Machine 3.3 kW 633.6 kW $0.34 $64.55 Hot Water Heater 40.63 kW 7800.96 kW $4.14 $794.76 Glycol-Water Chiller 660 kW 237600 kW $67.24 $24,206.69 792.826 kW Totals 262878.912 kW $80.77 $26,782.10 going toward insurance. The plant overhead in this brewery is set to be 50% of the labor price. The price of bottles and labels is added at this stage which is quoted to be $2,800 per year as well as the price of cleaning solution per year which is $3,118. After adding all of these components, the total product cost (without depreciation) is $1,141,000, which is sent to the final evaluation. All percentage values chosen in this section were based on ranges provided by the model (Max S. Peters, 2003). The final evaluation takes into account some additional factors such as the federal income tax amount (35%) and the annual-compounding discount rate which was chosen to be 21%. After final calculations, this particular brewery’s payback period is 1.8 years with an average return on investment being 30.6% per year. These calculations provide a total net profit of $6,680,000 over ten years. 113 | P a g e Final Decision There are many factors to go into making a brewery a reality but it is essential to calculate if it is actually feasible or not. After extended investigation it is apparent that this brewery is a good invest on many levels. On an engineering and mathematical level, the mass balances and energy balances for this process were able to be closed. This solidifies that the equipment, as well as the configuration of the equipment, is arranged in a sound engineering manner. In addition to a mass and energy balance, the constructed kinetic model using experimental HPLC data provided results that were able to be of use for future brewing choices. Choosing a quality of beer and using the kinetic model would allow this brewery to easily be able to calculate the mash temperature required. Another optimization aspect that was investigated was the batch size reduction. By brewing in smaller batch sizes more times a year this brewery was able to calculate that it would require far less energy by brewing a batch size of 1950 gallons. It was also investigated that using a single hot water heater and brewing four days a week with one batch each day cut the energy cost required to heat the wort in half. Full pricing of equipment as well as raw materials, utility costs, and the cost of labor were all priced out. These values, as well as other factors, were used in order to conduct a profitability analysis on this brewery. The profitability analysis provided promising results in that the payback period would be 1.8 years with a possible net profit of $6,680,000 over a ten year period. This profit would able to be used for future expansion of the company which would produce a greater output and in turn a greater amount of profit per year. Another key component was choosing where this brewery should be located as well as the size of the brewery. The craft brewing market represents a niche that is growing at a quick rate. Investing in this type of industry at this period in time would be a good business venture. 114 | P a g e The market provides great room for expansion as well an opportunity to emerge as a successful brewery in a short amount of time with good product distribution. The chosen location of Storrs, CT provides an atmosphere where there is an unlimited supply of consumers. Selling to local bars would provide an increase in demand for this brewery’s beer as well as brand recognition generating an increase in overall net profit over time. Overall, this is an excellent investment and a sound business decision. Figure 33: Bottle Label Design 115 | P a g e Works Cited Ultraviolet and Visible Absorption Spectroscopy (UV-Vis). (2000). Retrieved from The Chemistry Hypermedia Project: http://www.files.chem.vt.edu/chem-ed/spec/uv-vis/uvvis.html ALAR Engineering Corporation. (2010). Biological Oxygen Demand (BOD). Retrieved April 2011, from ALARWater Pollution Control Systems: http://www.alarcorp.com/applications/biological-oxygen-demand-bod Baker, J. (2008). Material Safety Data Sheet: Diatomaceous Earth. Boilers, P. (n.d.). Steam Boiler Manual. Briggs, D. E., Boulton, C. A., Brookes, P. A., & Stevens, R. (2004). Brewing Science and Practice. Woodhead Publishing. Britannica, E. (2011). Refractive Index. Budweiser, H. (2011, March). Distribution Specifications. (R. J. Jr., Interviewer) Container, K. (2011). Bottle Quote. Diana Boyle. Coolers, F. (n.d.). Refridgeration Room Quote. Equipment, B. P. (n.d.). Ampco AC-216 Centrifugal Pump. Equipment, I. (n.d.). RVS HELICOIDAL IMPELLER PUMP . Fabrication, A. M. (2011, April). Brewery Quote. Fix, G. (1989). Principles of Brewing Science. Brewers Publications. Golden Harvest Organics LLC. (n.d.). Diatomaceous Earth. Retrieved April 2011, from Golden Harvest Organization: http://www.ghorganics.com/DiatomaceousEarth.html Goldhammer, T. (2008). The Brewer's Handbook. Apex. Grain, P. H. (n.d.). Specifications, Table A. Hampton, Nebraska . Harris, T. (2011, March). Long Trail Brewery. (M. Williams, Interviewer) Heater, H. H. (n.d.). Hemad Zareiforoush, M. H. (n.d.). Screw Conveyors Power and Throughput Analysis during Horizontal Handling of Paddy Grains. Journal of Agricultural Science. 116 | P a g e Lehloenya KV, S. D. (2008). Effects of feeding yeast and propionibacteria to dairy cows on milk yield and components, and reproduction*. Pub Med, 190-202. Max S. Peters, K. D. (2003). Plant Design and Economics for Chemical Engineers. McGrawHill higher Education. Northern Brewer. (2011). Star San. Retrieved from Northern Brewer: http://www.northernbrewer.com/brewing/star-san.html O'Brien, C. (2007). Grains of Possibility: Ways to Use Spent Brewing Grains. Retrieved from American Brewer: http://beeractivist.com/2007/04/15/grains-of-possibility-ways-to-usespent-brewing-grains/ Palmer, J. J. (2006). How To Brew . Brewers Publications. Priest, F. G., & Stewart, G. G. (2006). Handbook of Brewing. Taylor & Francis. Regulation, C. (1989). Title 40: Protection of Environment. Retrieved April 2011, from eCFR: http://ecfr.gpoaccess.gov/cgi/t/text/textidx?c=ecfr;sid=d7773ee6b09450c54ab24e0f8726bd32;rgn=div6;view=text;node=40%3A 22.0.1.1.3.8;idno=40;cc=ecfr Russell, I. (2003). Whisky: Technology, Production and Marketing. Academic Press. (n.d.). Screw Conveyors Power and Throughput Analysis during Horizontal Handling of Paddy Grains. Steed, A., Steed, A., & Steed, A. (1992). Filters and Filtration. National Rural Water Association. Swadesh, J. (2001). HPLC: practical and industrial applications. CRC Press. Tank, A. (n.d.). Bottle Labeler and Keg Quote. Toffola, D. (n.d.). DE Filter Quote. UV-Vis Absorption Spectroscopy. (n.d.). Retrieved from Sheffield Hallam University: http://teaching.shu.ac.uk/hwb/chemistry/tutorials/molspec/uvvisab1.htm Williams, J. L. (2011, April). Natural Gas Futures Close. Retrieved from Natural Gas Futures Prices - NYMEX: http://www.wtrg.com/daily/gasprice.html Yates, M. (2011, April 5). Tour of Hooker Brewery. (B. Beacham, Interviewer) 117 | P a g e Appendix – A: H.P.L.C. Data Fructose Calibration 300000 y = 105.68x + 19327 R² = 0.9655 Area of Peak 250000 200000 150000 100000 50000 0 0 500 1000 1500 PPM Solution 2000 2500 3000 Figure 34: Fructose calibration curve from Standard Solution Injections Dextrose Calibration 250000 y = 83.379x + 477.5 R² = 0.9834 Area of Peak 200000 150000 100000 50000 0 0 500 1000 1500 PPM Solution 2000 2500 3000 Figure 35: Dextrose calibration curve from Standard Solution Injections 118 | P a g e Sucrose Calibration 350000 y = 121.37x + 15671 R² = 0.9904 Area of Peak 300000 250000 200000 150000 100000 50000 0 0 500 1000 1500 PPM Solution 2000 2500 3000 Figure 36: Sucrose calibration curve from Standard Solution Injections Maltose Calibration 300000 y = 108.34x - 8671.2 R² = 0.9967 Area of Peak 250000 200000 150000 100000 50000 0 0 500 1000 1500 PPM Solution 2000 2500 3000 Figure 37: Maltose calibration curve from Standard Solution Injections 119 | P a g e Maltotriose Calibration 300000 y = 103.84x - 12110 R² = 0.9677 Area of Peak 250000 200000 150000 100000 50000 0 0 500 1000 1500 PPM Solution 2000 2500 3000 Figure 38. Maltotriose calibration curve from Standard Solution Injections Maltotetraose Calibration 60000 Area of Peak 50000 y = 26.747x - 5833.2 R² = 0.9611 40000 30000 20000 10000 0 0 500 1000 1500 PPM Solution 2000 2500 Figure 39. Maltotetraose calibration curve from Standard Solution Injections 120 | P a g e Table 28. Sequence Run for All Trials at All Temperatures Reps Vial Injection Volume (uL) Sample ID Method Filename 1 3 1 40 50 40 20 20 20 Water Blank Standard Solution 2000 ppm Water Blank Bioferment7_35C_50Hz_Dextrose.met Bioferment Standard.met Bioferment7_35C_50Hz_Dextrose.met 41211.001 41211.002 41211.003 1 3 1 3 1 3 1 1 3 1 2 1 40 51 40 52 40 53 40 40 54 40 55 40 20 20 20 20 20 20 20 20 20 20 20 20 Water Blank Standard Solution 500 ppm Water Blank Standard Solution 1000 ppm Water Blank Standard Solution 2500 ppm Water Blank Water Blank Standard 1500 ppm Water Blank 70C t=0 Water Blank Bioferment7_35C_50Hz_Dextrose.met Bioferment Standard.met Bioferment7_35C_50Hz_Dextrose.met Bioferment Standard.met Bioferment7_35C_50Hz_Dextrose.met Bioferment Standard.met Bioferment7_35C_50Hz_Dextrose.met Bioferment7_35C_50Hz_Dextrose.met Bioferment Standard.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard.met Bioferment7_35C_50Hz_Dextrose.met 041211-2.001 041211-2.002 041211-2.003 041211-2.004 041211-2.005 041211-2.006 041211-2.007 041311-2.001 041311-2.002 41411.001 41411.002 41411.003 2 1 1 2 1 1 56 40 40 57 40 41 20 20 20 20 20 20 70C t=5 Water Blank Water Blank 70C t=10 Water Blank Standard 2500 ppm Bioferment Standard.met Bioferment7_35C_50Hz_Fructose.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard 2.met 41411.004 41411.005 41411.006 41411.007 041511.001c 041511.002c 1 2 1 2 1 2 42 43 44 45 46 47 20 20 20 20 20 20 70C t=15 70C t=20 70C t=25 70C t=30 70C t=35 70C t=40 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.003 41511.004 41511.005 41511.006 41511.007 41511.008 1 2 1 2 2 1 48 49 40 50 51 40 20 20 20 20 20 20 70C t=45 70C t=50 Water Blank 70C t=55 70C t=60 Water Blank Bioferment Standard 2.met Bioferment Standard 2.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment7_35C_50Hz_Fructose.met 41511.009 41511.010 041511.001e 41511.011 41511.012 41511.013 1 1 1 1 1 41 52 40 53 54 20 20 20 20 20 Standard 2500 ppm 63C t=0 WB 63C t=5 63C t=10 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.014 41511.015 041511.001f 41511.016 41511.017 121 | P a g e 1 1 55 56 20 20 63C t=15 63C t=20 Bioferment Standard 2.met Bioferment Standard 2.met 41511.018 41511.019 1 1 1 2 1 2 57 58 59 60 61 62 20 20 20 20 20 20 63C t=25 63C t=30 63C t=35 63C t=40 63C t=45 63C t=50 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.020 41511.021 41511.022 41511.023 41511.024 41511.025 2 2 1 1 1 1 1 63 64 40 33 32 41 34 20 20 20 20 20 20 20 63C t=55 63C t=60 Water Blank 55C t=60 dilution 50x 55C t=60 Standard 2500 ppm 55C t=55 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment7_35C_50Hz_Fructose.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.026 41511.027 41511.028 41511.029 41511.030 41511.031 41511.032 1 1 1 1 1 1 35 36 37 38 39 22 20 20 20 20 20 20 55C t=50 55C t=45 55C t=40 55C t=35 55C t=30 55C t=25 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.033 41511.034 41511.035 41511.036 41511.037 41511.038 1 1 1 1 1 23 24 25 26 27 20 20 20 20 20 55C t=20 55C t=15 55C t=10 55C t=5 55C t=0 Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met Bioferment Standard 2.met 41511.039 41511.040 41511.041 41511.042 41511.043 Table 29. Summary of all peak areas for each sample of the T=70C mashing temperature. Fructose Dextrose Area Trial 1 Area Trial 2 Average Area 10259 10259 27029 27029 Dilution Corresponding C 205180 1758.64 540580 6478.74 Area Trial 1 Fructose 6048 Dextrose 22391 Area Trial 2 Average Area 6048 15928 19159.5 T=70 C Data t=5 min Sucrose 0 0 0 Maltose 298946 339463 319204.5 Malt-3 20023 57263 38643 Malt-4 4460 18123 11291.5 0 -129.12 6384090 58846.40 772860 7326.17 225830 8225.10 t=10 min Sucrose 6102 Maltose 206216 Malt-3 Malt-4 7098 223124 214670 15002 15002 102565 54831.5 0 3051 122 | P a g e Dilution Corresponding C Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C 604800 5540.05 1915950 22975.92 Fructose 14881 Dextrose 17747 14881 17747 1488100 13898.31 305100 2384.68 21467000 198064.69 1500200 14330.60 5483150 204782.47 Maltose 185073 Malt-3 26293 Malt-4 16690 0 185073 26293 16690 1774700 21281.67 0 -129.12 18507300 170746.07 2629300 25204.06 1669000 62181.43 Fructose Dextrose t=20 min Sucrose Maltose 192379 Malt-3 Malt-4 75939 0 0 -182.88 24780 24780 2478000 29717.55 5527 5527 552700 4424.73 187296 189837.5 18983750 175143.80 33468 33468 3346800 32113.73 5658 40798.5 4079850 152316.78 t=15 min Sucrose Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C t=25 min Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C Fructose 4189 Dextrose 30884 Sucrose 2260 Maltose 0 Malt-3 1366 Malt-4 18309 4189 418900 3780.97 30884 3088400 37039.13 2260 226000 1732.96 0 0 -80.04 1366 136600 1198.86 18309 1830900 68234.45 t=30 min Sucrose 10714 Malt-3 25688 15069 20378.5 Malt-4 44959 36141 40550 Fructose Area Trial 1 Area Trial 2 Average Area Dextrose 30956 0 30956 10714 Maltose 272602 112939 192770.5 Dilution Corresponding C 0 -182.88 3095600 37125.49 1071400 8698.43 19277050 177851.01 2037850 19508.28 4055000 151387.70 Maltose 329323 Malt-3 40942 Malt-4 33874 329323 32932300 303891.72 40942 4094200 39311.34 33874 3387400 126427.89 Area Trial 1 Fructose 3528 Dextrose 47894 t=35 min Sucrose 9845 Area Trial 2 Average Area Dilution Corresponding C 3528 352800 3155.50 47894 4789400 57442.16 9845 984500 7982.44 123 | P a g e t=40 min Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C Fructose 16771 1510 9140.5 914050 8466.34 Dextrose 13091 30919 22005 2200500 26389.02 Sucrose 16070 16070 1607000 13111.39 t=45 min Sucrose 18211 Maltose 228044 227110 227577 22757700 209978.11 Malt-3 50566 74240 62403 6240300 59978.72 Malt-4 23681 25182 24431.5 2443150 91124.87 Maltose 278281 Malt-3 70381 Malt-4 26724 Fructose 29298 Dextrose 35691 29298 35691 18211 278281 70381 26724 2929800 27540.43338 3569100 42804.9958 1821100 14875.41402 27828100 256778.9256 7038100 67661.69106 2672400 99695.92104 Maltose Malt-3 Malt-4 266729 266729 26672900 246116.20 59504 59504 5950400 57186.92 15317 15317 1531700 57048.15 Malt-3 27050 28796 27923 2792300 26773.79 Malt-4 19649 33985 26817 2681700 100043.62 Fructose Dextrose o 0 -182.88 11901 11901 1190100 14269.55 t=50 min Sucrose Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C 18128 18128 1812800 14807.03 t=55 min Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C Fructose 13162 9373 11267.5 1126750 10479.02 Dextrose 19427 17110 18268.5 1826850 21907.19 Sucrose 12381 12381 1238100 10071.92 Maltose 302400 275480 288940 28894000 266617.40 Area Trial 1 Area Trial 2 Average Area Fructose 27917 29614 28765.5 Dextrose 60678 48429 54553.5 t=60 min Sucrose 36590 13641 25115.5 Maltose 255898 222075 238986.5 Malt-3 48072 48072 Malt-4 11157 53268 32212.5 Dilution Corresponding C 2876550 27036.55 5455350 65430.04 2511550 20564.22 23898650 220509.31 4807200 46177.68 3221250 120215.98 124 | P a g e Dextrose 70000 60000 ppm 50000 40000 30000 20000 10000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 40. Dextrose concentration profile over 60 minute mashing time for T = 70 C Sucrose 25000 ppm 20000 15000 10000 5000 0 0 10 20 30 40 Time (Min) 50 60 70 Figure 41. Sucrose concentration profile over 60 minute mashing time for T = 70 C 125 | P a g e Maltose 300000 250000 ppm 200000 150000 100000 50000 0 0 10 20 30 40 Time (min) 50 60 70 Figure 42. Maltose concentration profile over 60 minute mashing time for T = 70 C Maltotriose 80000 70000 60000 ppm 50000 40000 30000 20000 10000 0 0 10 20 30 40 Time (Min) 50 60 70 Figure 43. Maltotriose concentration profile over 60 minute mashing time for T = 70 C 126 | P a g e Maltotetraose 160000 140000 120000 ppm 100000 80000 60000 40000 20000 0 0 10 20 30 40 Time (Min) 50 60 70 Figure 44. Maltotetraose concentration profile over 60 minute mashing time for T = 70 C Table 30. Summary of all peak areas for each sample of the T=63C mashing temperature. Fructose T = 63 C Data T=0 Dextrose Sucrose Maltose Malt-3 Malt-4 Area Trial 1 Average Area 19734 19734 29686 29686 4050 4050 113523 113523 14663 14663 15315 15315 Dilution Corresponding C 1973400 18490.47 2968600 35602.16 405000 3207.78 11352300 104703.97 1466300 14004.14 1531500 57040.66 Area Trial 1 Fructose 10095 Dextrose 29248 T=5 Sucrose 2435 Maltose 167328 Malt-3 31699 Malt-4 27042 Average Area Dilution Corresponding C 10095 1009500 9369.54 29248 2924800 35076.80 2435 243500 1877.14 167328 16732800 154367.07 31699 3169900 30410.15 27042 2704200 100884.84 Fructose Dextrose T=10 Sucrose Maltose Malt-3 Malt-4 9768 9768 976800 9060.12 49505 49505 4950500 59374.51 21898 21898 2189800 17913.23 198094 198094 19809400 182764.71 61981 61981 6198100 59572.32 12200 12200 1220000 45394.50 Area Trial 1 Average Area Dilution Corresponding C 127 | P a g e T=15 Area Trial 1 Average Area Dilution Corresponding C Fructose 49744 49744 4974400 46887.52 Dextrose 73308 73308 7330800 87925.54 Sucrose 5462 5462 546200 4371.17 Maltose 262237 262237 26223700 241969.99 Malt-3 55659 55659 5565900 53484.11 Malt-4 12794 12794 1279400 47615.31 Area Trial 1 Average Area Dilution Corresponding C Fructose 12853 12853 1285300 11979.31 Dextrose 69326 69326 6932600 83149.24 T=20 Sucrose 4032 4032 403200 3192.96 Maltose 271811 271811 27181100 250806.99 Malt-3 22826 22826 2282600 21865.27 Malt-4 10476 10476 1047600 38948.92 Area Trial 1 Average Area Dilution Fructose 23136 23136 2313600 Dextrose 100534 100534 10053400 T=25 Sucrose 0 0 0 Maltose 324388 324388 32438800 Malt-3 15203 15203 1520300 Malt-4 11840 11840 1184000 Corresponding C 21709.62 120582.37 -129.12 299336.61 14524.17 44048.56 Maltose 292957 292957 Malt-3 13061 13061 Malt-4 19211 19211 Area Trial 1 Average Area Fructose 93049 93049 Dextrose 8661 8661 T=30 Sucrose 7203 7203 Dilution Corresponding C 9304900 87865.00 866100 10383.26 720300 5805.63 29295700 270325.17 1306100 12461.38 1921100 71606.79 Maltose 327955 Malt-3 13954 Malt-4 21280 Area Trial 1 Fructose 20267 Dextrose 79458 T=35 Sucrose 12934 Average Area Dilution Corresponding C 20267 2026700 18994.82 79458 7945800 95302.30 12934 1293400 10527.55 327955 32795500 302629.03 13954 1395400 13321.36 21280 2128000 79342.24 Fructose Dextrose T=40 Sucrose Maltose Malt-3 Malt-4 9690 16979 13334.5 1333450 12434.93 89149 95816 92482.5 9248250 110924.82 23838 20858 22348 2234800 18284.00 325264 315891 320577.5 32057750 295819.45 8216 21742 14979 1497900 14308.46 12774 14197 13485.5 1348550 50200.65 Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C 128 | P a g e T=45 Area Trial 1 Average Area Dilution Corresponding C Fructose 20109 20109 2010900 18845.31605 Dextrose 93446 93446 9344600 112080.5146 Sucrose 10789 10789 1078900 8760.229052 Maltose 369701 369701 36970100 341161.4251 Malt-3 9840 9840 984000 9359.495378 Malt-4 18076 18076 1807600 67363.32299 Area Trial 1 Area Trial 2 Average Area Dilution Fructose 41318 20739 31028.5 3102850 Dextrose 126285 111050 118667.5 11866750 T=50 Sucrose 10955 5024 7989.5 798950 Maltose 378938 399835 389386.5 38938650 Malt-3 7189 63402 35295.5 3529550 Malt-4 36872 28517 32694.5 3269450 Corresponding C 29177.92 142333.00 6453.65 359331.54 33873.65 122018.05 Area Trial 1 Area Trial 2 Fructose 21456 17245 Dextrose 137043 105875 T=55 Sucrose 0 4149 Maltose 432678 405027 Malt-3 44918 37049 Malt-4 12598 12506 Average Area Dilution Corresponding C 19350.5 1935050 18127.58 121459 12145900 145681.33 2074.5 207450 1580.12 418852.5 41885250 386529.25 40983.5 4098350 39351.31 12552 1255200 46710.54 Fructose Dextrose T=60 Sucrose Maltose Malt-3 Malt-4 6875 132205 137107 134656 13465600 161510.77 3613 11011 7312 731200 5895.44 429786 479584 454685 45468500 419603.37 10717 8899 9808 980800 9328.68 21589 35253 28421 2842100 106040.56 Area Trial 1 Area Trial 2 Average Area Dilution Corresponding C 6875 687500 6322.61 129 | P a g e ppm Dextrose 180000 160000 140000 120000 100000 80000 60000 40000 20000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 45. Dextrose concentration profile over 60 minute mashing time for T = 63 C ppm Maltose 450000 400000 350000 300000 250000 200000 150000 100000 50000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 46. Maltose concentration profile over 60 minute mashing time for T = 63 C 130 | P a g e Maltotriose 70000 60000 ppm 50000 40000 30000 20000 10000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 47. Maltotriose concentration profile over 60 minute mashing time for T = 63 C Maltotetraose 120000 100000 ppm 80000 60000 40000 20000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 48. Maltotetraose concentration profile over 60 minute mashing time for T = 63 C 131 | P a g e Table 31. Summary of all peak areas for each sample of the T=55C mashing temperature. Area Trial 1 Average Area Fructose 13679 13679 T = 55 C Data t=0 min Dextrose Sucrose 14522 2592 14522 2592 Maltose 23526 23526 Malt-3 14786 14786 Malt-4 13233 13233 Corresponding C 1367900 12760.91 1452200 17413.37 259200 2006.50 2352600 21634.93 1478600 14122.59 1323300 49256.62 Fructose 75053 Dextrose 10310 t=5 min Sucrose - Maltose 63863 Malt-3 7174 Malt-4 14059 75053 7505300 70836.23 10310 1031000 12361.19 0 0 -129.12 63863 6386300 58866.80 7174 717400 6792.08 14059 1405900 52344.82 Fructose Dextrose t=10 min Sucrose Maltose Malt-3 Malt-4 0 0 -182.88 0 0 -5.37 0 0 -80.04 0 0 -116.62 0 0 -218.09 Area Trial 1 Average Area Corresponding C Area Trial 1 Average Area Corresponding C 0 0 -129.12 t=15 min Area Trial 1 Average Area Corresponding C Area Trial 1 Average Area Corresponding C Area Trial 1 Average Area Fructose 16475 16475 1647500 15406.63 Dextrose 68782 68782 6878200 82496.73 Sucrose 0 0 -129.12 Maltose 89331 89331 8933100 82374.27 Malt-3 23339 23339 2333900 22359.30 Malt-4 13218 13218 1321800 49200.54 Fructose 15419 15419 1541900 14407.39 Dextrose 82750 82750 8275000 99250.96 t=20 min Sucrose 0 0 -129.12 Maltose 47402 47402 4740200 43672.96 Malt-3 12371 12371 1237100 11796.90 Malt-4 11755 11755 1175500 43730.77 Fructose 13931 13931 1393100 Dextrose 101461 101461 10146100 t=25 min Sucrose 6006 6006 600600 Maltose 80566 80566 8056600 Malt-3 9206 9206 920600 Malt-4 7531 7531 753100 132 | P a g e Corresponding C Area Trial 1 Average Area Corresponding C 12999.37 Fructose 21374 21374 2137400 20042.33 121694.28 4819.39 74284.00 8748.94 27938.34 Dextrose 89785 89785 8978500 107689.25 t=30 min Sucrose 10545 10545 1054500 8559.19 Maltose 166547 166547 16654700 153646.20 Malt-3 17912 17912 1791200 17132.99 Malt-4 12730 12730 1273000 47376.03 Maltose 174451 174451 17445100 Malt-3 11344 11344 1134400 Malt-4 21488 21488 2148800 160941.75 10807.88 80119.89 Maltose 168743 168743 Malt-3 33709 33709 Malt-4 12452 12452 16874300 155673.15 3370900 32345.82 1245200 46336.67 t=45 min Sucrose 3781 Maltose 13149 Malt-3 17134 Malt-4 41419 3781 378100 2986.15 13149 1314900 12056.75 17134 1713400 16383.76 41419 4141900 154636.66 t=50 min Sucrose Maltose Malt-3 Malt-4 177709 177709 17770900 163948.95 10637 10637 1063700 10127.02 10920 10920 1092000 40608.92 Maltose 192499 192499 19249900 177600.41 Malt-3 10320 10320 1032000 9821.74 Malt-4 13368 13368 1336800 49761.35 Area Trial 1 Average Area Fructose 21738 21738 2173800 Dextrose 122751 122751 12275100 t=35 min Sucrose 8950 8950 895000 Corresponding C 20386.76 147231.05 7245.03 Area Trial 1 Average Area Fructose 28726 28726 Dextrose 127381 127381 Corresponding C 2872600 26999.18 12738100 152784.60 Area Trial 1 Average Area Corresponding C Area Trial 1 Average Area Corresponding C Fructose 11389 Dextrose 114 11389 1138900 10593.99 114 11400 131.37 Fructose Dextrose 3290 3290 329000 2930.29 74134 74134 7413400 88916.31 t=40 min Sucrose 4699 4699 469900 3742.51 15263 15263 1526300 12446.48 t=55 min Area Trial 1 Average Area Corresponding C Fructose 5648 5648 564800 5161.55 Dextrose 33005 33005 3300500 39583.21 Sucrose 2371 2371 237100 1824.41 133 | P a g e t=60 min Fructose 34474 34474 3447400 32438.24 Area Trial 1 Average Area Corresponding C Dextrose 110419 110419 11041900 132439.16 Sucrose 3307 3307 330700 2595.61 Maltose 313866 313866 31386600 289624.60 Malt-3 12650 12650 1265000 12065.58 Malt-4 12458 12458 1245800 46359.10 Fructose 35000 30000 ppm 25000 20000 15000 10000 5000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 49. Fructose concentration profile over 60 minute mashing time for T = 55 C ppm Dextrose 180000 160000 140000 120000 100000 80000 60000 40000 20000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 50. Dextrose concentration profile over 60 minute mashing time for T = 55 C 134 | P a g e ppm Sucrose 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 51. Sucrose concentration profile over 60 minute mashing time for T = 55 C Maltose 350000 300000 ppm 250000 200000 150000 100000 50000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 52. Maltose concentration profile over 60 minute mashing time for T = 55 C 135 | P a g e Maltotriose 25000 ppm 20000 15000 10000 5000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 53. Maltotriose concentration profile over 60 minute mashing time for T = 55 C Maltotetraose 60000 50000 ppm 40000 30000 20000 10000 0 0 10 20 30 40 Time (Minutes) 50 60 70 Figure 54. Maltotetraose concentration profile over 60 minute mashing time for T = 55 C 136 | P a g e Appendix – B: Mathematica Code for Kinetic Model Sugar Profile Model for Mash Temp = 70 C Define Time, Initial Concentration Boundaries and Final Desired Concentrations Clear[t]; Clear[B] Time =3600; A = 1800; (*Starch Unit Length *) H = A/B; (* Fitting parameter to determine size of higher order sugar *) M4 = H/4; M3 = H/3; M2 = H/2; M1 = H/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp -r8; rhos 8 -3r4 -4r3 -6r2-12r1; rm4 4; rm3 3; rm2 M2*r2; rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 1.435; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; Defining Emperical Reaction Rates and Final Concentrations k8 = .001; k4= .0005; k3= .0007; k2= .0006; k1= .0005; cm4fin = 0.167; cm3fin = 0.085; cm2fin = 0.669; cm1fin = 0.513; 137 | P a g e hosfin = 1.435 - (cm4fin+cm3fin+cm2fin+cm2fin); Solving for each Concentration symbolically (Functions of: Time and Rate Constants) Clear[t] Solution=DSolve[{rapp,rhos,rm4 ,rm3 ,rm2 ,rm1, ini0, ini1, ini2, ini3, ini4, ini5},{Capp, Chos,Cm4 ,Cm3 ,Cm2, Cm1},t]; funcCapp=Solution[[1,1,2]]//FullSimplify; funcChos = Solution[[1,2,2]] //FullSimplify; funcCm4 = Solution[[1,3,2]] //FullSimplify; funcCm3 = Solution[[1,4,2]] //FullSimplify; funcCm2 = Solution[[1,5,2]] //FullSimplify; funcCm1 = Solution[[1,6,2]] //FullSimplify; Defining Sum of Squares Function (Used to minimize final concentrations) SS[B_] =((funcChos[t]-hosfin)2+(funcCm4[t]-cm4fin)2+(funcCm3[t]-cm3fin)2+(funcCm2[t]cm2fin)2+ (funcCm1[t]-cm1fin)2); Defining constraints of rate constants cons0 = (B>0); (* The Master Constraint *) consALL = cons0 && cons1; Minimizing function, extraction and storage of calculated rate constants, and sum of squares value (* Calculating the best starch parameter *) Clear[Bcalc] t = 3600; {B1calc} = {B}/.Last[ NMinimize[{SS[B],consALL},{B}]] "Sum of Squares After" SS [Bcalc] {787.116} Sum of Squares After (-0.669+18627.9/Bcalc^2)2+(-0.085+24837.3/Bcalc^2)2+(-0.513+37255.9/Bcalc^2)2+(0.167+155233./Bcalc^2)2+(0.155 +132.799/Bcalc)2 Plugging values into numerical differential equation solver and plotting Clear[t]; Time =3600; A = 1800; (*Starch Unit Length *) 138 | P a g e HOS = A/B1calc; M4 = HOS/4; M3 = HOS/3; M2 = HOS/2; M1 = HOS/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp -r8; rhos= Chos'[t] HOS*r8 -3r4 -4r3 -6r2-12r1; rm4 4; rm3 3; rm2 2; rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 1.435; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; (* Solving System of Differential Equations *) SolveIt = NDSolve[ {rapp,rhos,rm4,rm3,rm2,rm1, ini0, ini1, ini2, ini3, ini4,ini5}, {Capp, Chos, Cm4, Cm3, Cm2, Cm1}, {t,0,Time}]; "Final Compositions" TextForm[" Amylopectin " ]NumberForm[Capp[Time]/.SolveIt , {5,4}] TextForm[" Higher Order Sugars "] NumberForm[Chos[Time]/.SolveIt , {5,4}] TextForm[" M. Tetraose "] NumberForm[Cm4[Time]/.SolveIt , {5,4}] TextForm[" M. Triose " ]NumberForm[Cm3[Time]/.SolveIt , {5,4}] TextForm[" Maltose " ]NumberForm[Cm2[Time]/.SolveIt , {5,4}] TextForm[" Glucose " ]NumberForm[Cm1[Time]/.SolveIt , {5,4}] (* The Plotting *) CappPlot = Plot[Evaluate[Capp[t]/.SolveIt], {t,0,Time}, 139 | P a g e ChosPlot = Plot[Evaluate[Chos[t]/.SolveIt], {t,0,Time}, Cm4Plot = Plot[Evaluate[Cm4[t]/.SolveIt], {t,0,Time}, Cm3Plot = Plot[Evaluate[Cm3[t]/.SolveIt], {t,0,Time}, Cm2Plot = Plot[Evaluate[Cm2[t]/.SolveIt], {t,0,Time}, Cm1Plot = Plot[Evaluate[Ca[t]/.SolveIt], {t,0,Time}, AllPlot1 =Show[CappPlot,ChosPlot,Cm4Plot,Cm3Plot,Cm2Plot, Carbohydrate Profile @ 70 Celsius"}}, Final Compositions {0.0392} Amylopectin {0.0070} Higher Order Sugars {0.0655} M. Tetraose {0.1223} M. Triose {0.1572} Maltose {0.2620} Glucose Sugar Profile Model for Mash Temp = 63 C Define Time, Initial Concentration Boundaries and Final Desired Concentrations Clear[t]; Clear[B] Time =3600; A = 1800; (*Starch Unit Length *) H = A/B; (* Fitting parameter to determine size of higher order sugar *) M4 = H/4; M3 = H/3; 140 | P a g e M2 = H/2; M1 = H/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp -r8; rhos 8 -3r4 -4r3 -6r2-12r1; rm4 4; rm3 3; rm2 2; rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 2.3324; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; Defining Emperical Reaction Rates and Final Concentrations k8 = .001; k4= .0001; k3= .00003; k2= .00009; k1= .00002; cm4fin = 0.147; cm3fin = 0.073; cm2fin = 1.181; cm1fin = 0.932; hosfin = 2.3324 - (cm4fin+cm3fin+cm2fin+cm2fin); Solving for each Concentration symbolically (Functions of: Time and Rate Constants) Clear[t] Solution=DSolve[{rapp,rhos,rm4 ,rm3 ,rm2 ,rm1, ini0, ini1, ini2, ini3, ini4, ini5},{Capp, Chos,Cm4 ,Cm3 ,Cm2, Cm1},t]; funcCapp=Solution[[1,1,2]]//FullSimplify; funcChos = Solution[[1,2,2]] //FullSimplify; funcCm4 = Solution[[1,3,2]] //FullSimplify; funcCm3 = Solution[[1,4,2]] //FullSimplify; funcCm2 = Solution[[1,5,2]] //FullSimplify; 141 | P a g e funcCm1 = Solution[[1,6,2]] //FullSimplify; Defining Sum of Squares Function (Used to minimize final concentrations) SS[B_] =((funcChos[t]-hosfin)2+(funcCm4[t]-cm4fin)2+(funcCm3[t]-cm3fin)2+(funcCm2[t]cm2fin)2+ (funcCm1[t]-cm1fin)2); Defining constraints of rate constants cons0 = (B>0); (* The Master Constraint *) consALL = cons0 && cons1; Minimizing function, extraction and storage of calculated rate constants, and sum of squares value (* Calculating the best starch parameter *) Clear[Bcalc] t = 3600; {B2calc} = {B}/.Last[ NMinimize[{SS[B],consALL},{B}]] "Sum of Squares After" SS [B2calc] {503.189} Sum of Squares After 0.57612 Plugging values into numerical differential equation solver and plotting Clear[t]; Time =3600; A = 1800; (*Starch Unit Length *) HOS = A/B2calc; M4 = HOS/4; M3 = HOS/3; M2 = HOS/2; M1 = HOS/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp rhos= Chos'[t] -r8; HOS*r8 -3r4 -4r3 -6r2-12r1; 142 | P a g e rm4 4; rm3 3; rm2 2; rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 1.435; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; (* Solving System of Differential Equations *) SolveIt = NDSolve[ {rapp,rhos,rm4,rm3,rm2,rm1, ini0, ini1, ini2, ini3, ini4,ini5}, {Capp, Chos, Cm4, Cm3, Cm2, Cm1}, {t,0,Time}]; "Final Compositions" TextForm[" Amylopectin " ]NumberForm[Capp[Time]/.SolveIt , {5,4}] TextForm[" Higher Order Sugars "] NumberForm[Chos[Time]/.SolveIt , {5,4}] TextForm[" M. Tetraose "] NumberForm[Cm4[Time]/.SolveIt , {5,4}] TextForm[" M. Triose " ]NumberForm[Cm3[Time]/.SolveIt , {5,4}] TextForm[" Maltose " ]NumberForm[Cm2[Time]/.SolveIt , {5,4}] TextForm[" Glucose " ]NumberForm[Cm1[Time]/.SolveIt , {5,4}] (* The Plotting *) CappPlot = Plot[Evaluate[Capp[t]/.SolveIt], {t,0,Time}, ChosPlot = Plot[Evaluate[Chos[t]/.SolveIt], {t,0,Time}, Cm4Plot = Plot[Evaluate[Cm4[t]/.SolveIt], {t,0,Time}, Cm3Plot = Plot[Evaluate[Cm3[t]/.SolveIt], {t,0,Time}, Cm2Plot = 143 | P a g e Plot[Evaluate[Cm2[t]/.SolveIt], {t,0,Time}, Cm1Plot = Plot[Evaluate[Ca[t]/.SolveIt], {t,0,Time}, AllPlot2 =Show[CappPlot,ChosPlot,Cm4Plot,Cm3Plot,Cm2Plot, Carbohydrate Profile @ 63 Celsius"}}, Final Compositions {0.0392} Amylopectin {0.3599} Higher Order Sugars {0.3453} M. Tetraose {0.1381} M. Triose {0.6215} Maltose {0.2762} Glucose Sugar Profile Model for Mash Temp = 55 C Define Time, Initial Concentration Boundaries and Final Desired Concentrations Clear[t]; Clear[B] Time =3600; A = 1800; (*Starch Unit Length *) H = A/B; (* Fitting parameter to determine size of higher order sugar *) M4 = H/4; M3 = H/3; M2 = H/2; M1 = H/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp rhos rm4 rm3 rm2 -r8; 8 -3r4 -4r3 -6r2-12r1; 4; 3; 2; 144 | P a g e rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 1.8087; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; Defining Emperical Reaction Rates and Final Concentrations k8 = .0003; k4= .0005; k3= .00006; k2= .00003; k1= .00003; cm4fin = 0.167; cm3fin = 0.085; cm2fin = 0.669; cm1fin = 0.513; hosfin = 1.8087 - (cm4fin+cm3fin+cm2fin+cm2fin); Solving for each Concentration symbolically (Functions of: Time and Rate Constants) Clear[t] Solution=DSolve[{rapp,rhos,rm4 ,rm3 ,rm2 ,rm1, ini0, ini1, ini2, ini3, ini4, ini5},{Capp, Chos,Cm4 ,Cm3 ,Cm2, Cm1},t]; funcCapp=Solution[[1,1,2]]//FullSimplify; funcChos = Solution[[1,2,2]] //FullSimplify; funcCm4 = Solution[[1,3,2]] //FullSimplify; funcCm3 = Solution[[1,4,2]] //FullSimplify; funcCm2 = Solution[[1,5,2]] //FullSimplify; funcCm1 = Solution[[1,6,2]] //FullSimplify; Defining Sum of Squares Function (Used to minimize final concentrations) SS[B_] =((funcChos[t]-hosfin)2+(funcCm4[t]-cm4fin)2+(funcCm3[t]-cm3fin)2+(funcCm2[t]cm2fin)2+ (funcCm1[t]-cm1fin)2); Defining constraints of rate constants cons0 = (B>0); (* The Master Constraint *) consALL = cons0 && cons1; 145 | P a g e Minimizing function, extraction and storage of calculated rate constants, and sum of squares value (* Calculating the best starch parameter *) Clear[Bcalc] t = 3600; {B3calc} = {B}/.Last[ NMinimize[{SS[B],consALL},{B}]] "Sum of Squares After" SS [B3calc] {570.172} Sum of Squares After 0.127087 Plugging values into numerical differential equation solver and plotting Clear[t]; Time =3600; A = 1800; (*Starch Unit Length *) HOS = A/B3calc; M4 = HOS/4; M3 = HOS/3; M2 = HOS/2; M1 = HOS/1; r8= k8*Capp[t]; r4= k4* Chos[t]; r3= k3* Chos[t]; r2= k2* Chos[t]; r1= k1* Chos[t]; rapp -r8; rhos= Chos'[t] HOS*r8 -3r4 -4r3 -6r2-12r1; rm4 4; rm3 3; rm2 2; rm1= Cm1'[t] == M1*r1; ini0 = Capp[0] == 1.435; ini1 = Chos[0] 0; ini2 = Cm4[0] 0; ini3 = Cm3[0] 0; ini4 = Cm2[0] 0; ini5= Cm1[0] == 0; 146 | P a g e (* Solving System of Differential Equations *) SolveIt = NDSolve[ {rapp,rhos,rm4,rm3,rm2,rm1, ini0, ini1, ini2, ini3, ini4,ini5}, {Capp, Chos, Cm4, Cm3, Cm2, Cm1}, {t,0,Time}]; "Final Compositions" TextForm[" Amylopectin " ]NumberForm[Capp[Time]/.SolveIt , {5,4}] TextForm[" Higher Order Sugars "] NumberForm[Chos[Time]/.SolveIt , {5,4}] TextForm[" M. Tetraose "] NumberForm[Cm4[Time]/.SolveIt , {5,4}] TextForm[" M. Triose " ]NumberForm[Cm3[Time]/.SolveIt , {5,4}] TextForm[" Maltose " ]NumberForm[Cm2[Time]/.SolveIt , {5,4}] TextForm[" Glucose " ]NumberForm[Cm1[Time]/.SolveIt , {5,4}] (* The Plotting *) CappPlot = Plot[Evaluate[Capp[t]/.SolveIt], {t,0,Time}, ChosPlot = Plot[Evaluate[Chos[t]/.SolveIt], {t,0,Time}, Cm4Plot = Plot[Evaluate[Cm4[t]/.SolveIt], {t,0,Time}, {Red}]; Cm3Plot = Plot[Evaluate[Cm3[t]/.SolveIt], {t,0,Time}, Cm2Plot = Plot[Evaluate[Cm2[t]/.SolveIt], {t,0,Time}, Cm1Plot = Plot[Evaluate[Ca[t]/.SolveIt], {t,0,Time}, AllPlot3 =Show[CappPlot,ChosPlot,Cm4Plot,Cm3Plot,Cm2Plot, Carbohydrate Profile @ 55 Celsius"}}, 147 | P a g e Final Compositions {0.4873} Amylopectin {0.2329} Higher Order Sugars {0.4775} M. Tetraose {0.0764} M. Triose {0.0573} Maltose {0.1146} Glucose 148 | P a g e Appendix – C: Malt Analysis Charts Briess Organic 2-Row 50 Briess 2-Row 50 Canada Malting 2-Row Great Western Premium 2-Row Thomas Fawcett CaraMalt Briess Caramel 60L Briess Organic Caramel 60L Franco-Belges Caramel Pilsen Briess Organic Carapils Briess Carapils FGDB 80.5% 80.5% 73.0% 73.0% 73.0% 73.0% ppg 36.57 36.57 36.80 36.80 35.42 33.58 33.58 39.10 33.58 33.58 CGDB 79.50% 79.50% 80.00% 80.00% 77.00% 85.00% DP 150 150 Color 1.8 1.8 1.5-2.1 1.8-2.2 20-27 60 60 8-12 1.5 2.5 Price/55 lb bag $0.86 $0.54 $0.46 $0.53 $0.73 $0.74 $0.97 $0.68 $0.94 $0.73 $/pound $0.016 $0.010 $0.008 $0.010 $0.013 $0.013 $0.018 $0.012 $0.017 $0.013 149 | P a g e Appendix – D: H.A.Z.O.P. Charts Table 32: HAZOP - Process Component: Silo and Mechanical Screw Auger Study Node Silo Tower Process Parameters Level Composition Deviatio ns Possible Causes Action Required unable to run batch process, loss of sales continuous shipping schedule contract with distributor none 1. delay in shipping of grains more silo overflow, 2. delay in contamination of brewing schedule grain auxiliary storage less 3. grain lost during transfer from truck grain contamination closed conveyer 4. contaminants in truck/environme nt grain contamination routine cleaning/maintenanc e possible explosion keep silo safe distance from building, proper ventilation As well as 5. fine dust build as well as up Auger Conveyer Possible Consequence level less 6. auger conveyer to mill malfunction unable to run batch process, loss of sales routine cleaning/maintenanc e Flow reverse 7. auger conveyer to mill malfunction unable to run batch process, loss of sales routine cleaning/maintenance , FIA 8. Metal Impurities Damage conveyer, induce spark for explosion Install magnet to remove metal contaminants Concentratio n As Well As 150 | P a g e Table 33: HAZOP - Process Component: Grain Mill Study Node Mill Process Parameters level Deviations Possible Causes More Less Residue Concentration More As Well As 9. overfilling the mill with grain from silo 10. Auger conveyer rate too slow 11. Rupture of vessel wall 12. Fine dust from grain accumulating from milling process 13. Impurity Possible Consequence overflow, contamination of grains wear to the mill, waste of energy loss of product Action Required coordinate flow rate of auger conveyer to milling capacity coordinate flow rate of auger conveyer to milling capacity Routine cleaning/maintenance Explosion, accumulation on surfaces, becomes sticky when in contact with water Cover the mill to collect the dust and install vacuum system to remove accumulation contamination of grains/product silo and conveyer closed from environment, inspection of grains before entering mash tun 151 | P a g e Table 34: HAZOP - Process Component: Mash Tun Study Node Process Parameters Deviations Level Less Mash Tun Possible Causes 1. Rupture of Vessel Wall 2. Outlet Valve to boiling kettle Fails to Close 2. Outlet Valve to recirculation Fails to Close 3. Leak From Vessel Door Possible Consequence Loss of Product Install LIA Compromised quality Install FICA of product Compromised quality Install FICA of product Loss of Product 3. Pump from mash tun remains Loss of Product on 3. Recirculation Lower extraction valve fails to grom grain open Pressure Action Required Install New Gasket, Routinely Inspect water tight seal before each use Install a FICA and emergency pump shutoff Install FICA More 4. Valve for city water does not close Dilute Batch, loss of product Install a FICA As Well As 4. Recirculation valve fails to close Product constantly recirculated, inaccurate extraction from grain Install FICA 6. Rupture of Vessel Wall Loss of Product Install Pressure Release Valve and PIA 7. Leak on Pressure/ Temperature Gauge Loss of Product Inspect seals before use, add temporary seal 8. Overfilling of Tank Tank Explosion/Rupture Install LAH and shutoff valve Less More 152 | P a g e Temperature Less More Temperature Insulation Less 9. Boiling induced Tank Explosion/Rupture, loss of product due to exceeding temperature 10. Not enough steam in heater loss of product due to inactive enzymes 11. Leak in insulation Wear of material, corrosion 11. City water flow rate through heater too high Mash Temperature too low, loss of product Install FICA and TIA 11. Steam service failure, generator malfunction Mash Temperature too low, loss of product Install FICA and TIA 11. Inlet hot water too hot loss of product due to inactive enzymes loss of product due to inactive enzymes 11. City water flow rate through heater too slow Mash temperature too Install FICA and high, loss of product TIA 11. Steam Temperature in heater is too high loss of product due to inactive enzymes loss of product due to inactive enzymes 12. leak in insulation material in between tank Tank Temperature is too low Install a FICA and TIA 13. Mash temperature too low Tank Temperature is too low Install a FICA and TIA Install TIA loss of product due to inactive enzymes Inaccurate temperature, loss of product 153 | P a g e More 17. Mash Temperature too high Tank Temperature is too hot Install a FICA and TIA Table 35: HAZOP - Process Component: Boiling Kettle Study Node Process Parameters Deviations Boiling Kettle Level Less Possible Causes 44. Rupture of Vessel Wall 45. Outlet Valve Fails to Close 46. Leak From Vessel Door More Pressure Less 47. Valve for city water does not close 48. Steam Jacket Ruptures into Vessel 49. Rupture of Vessel Wall 50. Leak on Pressure/ Temperature Gauge More Temperature Less 51. Overfilling of Tank 52. Temperature too high 53. Not enough steam Possible Consequence Action Required Loss of Product Install LIA Loss of Product Install FICA Loss of Product Install New Gasket, Routinely Inspect water tight seal before each use Dilute Batch, loss of product Install a FICA Product Contamination Install Emergency Shut off Loss of Product Install Pressure Release Valve and PIA Loss of Product Inspect seals before use, add temporary seal Loss of product Install LAH and shutoff valve Loss of product due to boil over Install TIA Tank temperature too low Install FICA and TIA 154 | P a g e More Flow Less Steam Jacket No More Temperature Less 54. Steam Temperature is too high Tank temperature is too high, boil over Install TIA and LAH Tank Temperature is too low Install a FICA and TIA Tank Temperature is too low Tank Temperature is too low Tank Temperature is 58. Pump Failure too low Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA 55. Inlet valve Fails - Remains Closed 56. Steam Service Failure 57. Operator Error 59. Inlet valve Fails - Remains Closed 60. Steam Service Failure 61. Operator Error Tank Temperature is too low Install a FICA and TIA Tank Temperature is too low Tank Temperature is too low Tank Temperature is 62. Pump Failure too low Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA 63. Inlet valve Fails - Remains Open 64. Controller Fails and leaves inlet valve open 65. Operator Error 66. Pump speed too high Tank Temperature is too hot Install a FICA and TIA Tank Temperature is too hot Install a FICA and TIA Tank Temperature is too hot Tank Temperature is too hot Install a FICA and TIA Install a FICA and TIA 67. Inlet steam supply is too low Tank Temperature is too cold Install a FICA and TIA 68. inlet valve remains closed Tank Temperature is too cold Install a FICA and TIA 155 | P a g e 69. Pump speed too low More 70. Inlet steam supply is too high 71. inlet valve Fails - Remains open 72. Pump Failure Tank Temperature is too cold Install a FICA and TIA Tank Temperature is too hot Install a FICA and TIA Tank Temperature is too hot Install a FICA and TIA Tank Temperature is too hot Install a FICA and TIA 156 | P a g e Table 36: HAZOP - Process Component: Heat Exchanger Study Node Process Parameters Deviation s Heat Exchanger Flow Less More Possible Consequence 73. Valve from Product too hot city water fails to entering fermentation open tank 74. Valve from Process delay/waste if boiling kettle cooling water fails to open 75. Pump from Process delay/waste of boiling kettle cooling water fails Product too hot 76. Pump from entering fermentation cooling unit fails tank inadequate heat 77. Plate rupture, transfer, product not at crack temperature for fermentation Possible Causes 78. Valve from City water fails to close 79. Valve from boiling kettle fails to close Product too cool entering fermentation tank Flow rate to high, product too hot entering fermentation tank Flow rate to high, product too hot entering fermentation tank 81. Pump from Product too cool cooling unit flow entering fermentation too fast tank 80. Pump from boiling kettle flow too fast No 82. Valve from Product too hot city water fails to entering fermentation open tank Action Required Install FIA Install FIA Install FIA Install FIA Routine cleaning/ maintenance Install FIA Install FIA Install FIA Install FIA Install FIA 157 | P a g e 83. Valve from boiling kettle fails to open 84. Pump from boiling kettle fails 85. Pump from cooling unit fails Process delay/waste if cooling water Install FIA Process delay/waste of cooling water Install FIA Product too hot entering fermentation tank Install FIA Table 37: HAZOP - Process Component: Primary Fermenter Study Node Fermentation Vessel Process Deviations Possible Causes Possible Consequence Action Required Parameters Rupture of Vessel Level Less Loss of Product Install LIA Wall Outlet Valve Fails Loss of Product Install FICA to Close Install New Gasket, Leak From Vessel Routinely Inspect Loss of Product Door water tight seal before each use More Pressure Less More Inlet valve Does not close Cooling Jacket Ruptures into Vessel Product Contamination Install a FICA Product Contamination Install Emergency Shut off Rupture of Vessel Loss of Product Wall Install Pressure Release Valve and PIA Leak on Pressure/ Temperature Loss of Product Gauge Inspect seals before use, add temporary seal not opening a vent Tank implosion, while pumping damage to vessel out liquid Install PIA and emergency pump shut off Overfilling of Tank Install LAH and shutoff valve Tank Explosion/Rupture 158 | P a g e Temperature Cooling Jacket Flow CO2 Outlet blocked Tank Explosion/Rupture Pressure Release Bypass Valve, Install PIA Less Cooling Water Temperature is too cold Reactor Failure due to Yeast Death Install TIA on Cooling Water In/Out More Cooling Water Temperature is too high Reactor Failure due to Yeast Death Install TIA on Cooling Water In/Out Tank Temperature is too High Install a FICA and TIA Tank Temperature is too High Tank Temperature is too High Tank Temperature is too High Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA Inlet water valve Fails - Remains Open Tank Temperature is too Cold Install a FICA and TIA Controller Fails and leaves Inlet water valve open Tank Temperature is too Cold Install a FICA and TIA Tank Temperature is too Cold Tank Temperature is too Cold Install a FICA and TIA Install a FICA and TIA Tank Temperature is too Hot Install a FICA and TIA Tank Temperature is too Hot Install a FICA and TIA Less Inlet water valve Fails - Remains Closed Cooling water Service Failure Operator Error Pump Failure No More Same as Less Operator Error Pump speed too high Temperature Less Inlet Cooling water supply is too low Inlet water valve Flow too high 159 | P a g e Pump speed too high More Inlet Cooling water supply is too high Inlet water valve Fails - Remains Closed Pump Failure Tank Temperature is too Hot Install a FICA and TIA Tank Temperature is too Cold Install a FICA and TIA Tank Temperature is too Cold Install a FICA and TIA Tank Temperature is too Cold Install a FICA and TIA Table 38: HAZOP - Process Component: Filter Study Node Filter Process Deviations Possible Causes Parameters Flow Less Valve from fermentation tank fails to close Pump failure Filter clogs Filter unit damaged More No Possible Consequence loss of product Flow rate too low, delay in process damage to unit, delay in process, loss of product damage to unit, delay in process, loss of product Action Required Install FIA Install FICA Routine cleaning /maintenance Routine cleaning /maintenance Pump failure Flow rate too high, clogging in unit Install FICA Valve from fermentation tank fails to open yeast sent to filter unit, clogs filter Install FIA, routine cleaning/maintenance Valve from fermentation tank fails to close loss of product Install FIA Pump failure Flow rate too low, delay in process Install FICA 160 | P a g e Pressure More Filter clogs damage to unit, delay in process, loss of Routine cleaning product, damage to /maintenance pump Rupture in Piping loss of product Filter clogs Pump failure Filter damaged, cracked plates Less No damage to filter unit, product not adequately filtered Flow rate too high, damage to filter unit, product not adequately filtered damage to unit, delay in process, loss of product Install FICA Routine cleaning/maintenance Install PIA Routine cleaning/maintenance Valve from fermentation tank fails to close loss of product Install PIA Pump failure Flow rate too low, delay in process Install PIA Crack in filter wall loss of product Routine cleaning/maintenance Valve from fermentation tank fails to close loss of product Install PIA Pump failure No flow, delay in process Install FICA Rupture of filter wall loss of product Routine cleaning/maintenance Rupture in Piping loss of product Install FICA 161 | P a g e Table 39: HAZOP - Process Component: Brightening Tank Study Node Brightening Tank Process Parameters Deviations Level Less More Pressure Less Possible Causes Rupture of Vessel Wall Outlet Valve Fails to Close Possible Consequence Loss of Product Install LIA Loss of Product Install FICA Leak From Vessel Door Loss of Product Install New Gasket, Routinely Inspect water tight seal before each use Inlet valve Does not close Product Contamination Install a FICA Cooling Jacket Ruptures into Vessel Product Contamination Install Emergency Shut off Rupture of Vessel Wall Loss of Product Leak on Pressure/Temperature Loss of Product Gauge More Action Required Install Pressure Release Valve and PIA Inspect seals before use, add temporary seal not opening a vent while pumping out liquid Tank implosion, damage to vessel Install PIA carbon dioxide not flowing into tank beer not carbonated install a PIA and FIA Overfilling of Tank Tank Explosion/Rupture Over carbonation Tank Explosion/Rupture CO2 Outlet blocked Tank Explosion/Rupture Install LAH and shutoff valve Install a pressure release valve Pressure Release Bypass Valve, Install PIA 162 | P a g e Temperature Cooling Jacket Flow Less Cooling Water Temperature is too cold Install TIA on Reactor Failure Cooling Water due to Yeast Death In/Out More Cooling Water Temperature is too high Install TIA on Reactor Failure Cooling Water due to Yeast Death In/Out Less Inlet water valve Fails - Remains Closed Cooling water Service Failure Tank Temperature is too High Install a FICA and TIA Tank Temperature is too High Tank Temperature is too High Tank Temperature is too High Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA Tank Inlet water valve Temperature is too Fails - Remains Open Cold Install a FICA and TIA Controller Fails and leaves Inlet water valve open Install a FICA and TIA Operator Error Pump Failure No More Same as Less Operator Error Pump speed too high Temperature Less Inlet Cooling water supply is too low Inlet water valve Flow too high P-1 speed too high Tank Temperature is too Cold Tank Temperature is too Cold Tank Temperature is too Cold Tank Temperature is too Hot Tank Temperature is too Hot Tank Temperature is too Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA 163 | P a g e Hot More Inlet Cooling water supply is too high Inlet water valve Fails - Remains Closed Pump Failure CO2 Tank Pressure More Less reverse flow back into container Leak in line Vessel cracked, leaking Level Less Leak in line Vessel cracked, leaking Container explosion product not carbonated, waste of material waste of material, product not carbonated product not carbonated, waste of material waste of material, product not carbonated Install a FICA and TIA Install a FICA and TIA Install a FICA and TIA Install a check valve Install PIA Install PIA Install PIA Install PIA Line blocked product not carbonated Install FIA No Vessel leaked waste of material, product not carbonated Install PIA and Check valve Less Line blocked More Flow Tank Temperature is too Cold Tank Temperature is too Cold Tank Temperature is too Cold Valve not fully open product not carbonated process delay, product undercarbonated Install FIA Install FIA and PIA 164 | P a g e More leak in line product under/not carbonated Install PIA Reverse liquid leaking into pipeline pressure in tank, loss of product Install check valve No Line blocked product not carbonated Install FIA and PIA Table 40: HAZOP - Process Component: Keg Filler Study Node Process Parameters Deviations Possible Causes Keg Filler Flow Less Valve to filler fails to open More Possible Consequence Delay in process, pressure build in pipes Action Required Install FIA Valve to Bottler full open Delay in process, loss of product to bottles Install FIA Valve to In House Vessels full open Delay in process, loss of product to In House storage Install FIA Valve from Brightening Tank fails to open Delay in process, possible pump damage Install FIA Pump from brightening tank fails Flow rate too low, delay in process Install FICA Keg Filler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Pump from brightening tank fails Flow rate to high, over flow, pressure build Install FICA Valves to Bottler and In house full closed Flow rate to high, over flow, pressure build Install FIA 165 | P a g e No Level Less Valve to filler fails to open Delay in process, pressure build in pipes Install FIA Valve from Brightening Tank fails to open Delay in process, possible pump damage Install FIA Pump from brightening tank fails Flow rate too low, delay in process Install FICA Keg Filler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA Valve to Keg filler fails to open Keg filler malfunction Pump from brightening tank fails More No Delay in process, pressure build in pipes Inaccurate product levels, loss of sales Flow rate too low, delay in process Install FIA Install FICA Install FICA Valves to Bottler and In house full closed Keg filler malfunction Flow rate to high, over flow, pressure build Overflow, loss of Product Valve to filler fails to open Delay in process, pressure build in pipes Install FIA Keg Filler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA Install FIA Install FICA 166 | P a g e Pressure More Overfilling kegs Valve to filler fails to open Less No Under filling kegs Rupture in keg, loss of product and sales Delay in process, pressure build in pipes Inaccurate product levels, loss of sales Install LAH Install FIA Install LAL Keg Filler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA Table 41: HAZOP - Process Component: Bottler/Labeler Study Node Process Parameters Deviations Bottler Flow Less Possible Causes Valve to bottler fails to open Valve to keg filler full open Valve to In House Vessels full open Valve from Brightening Tank fails to open Pump from brightening tank fails More Possible Consequence Delay in process, pressure build in pipes Delay in process, loss of product to bottles Delay in process, loss of product to In House storage Delay in process, possible pump damage Action Required Install FIA Install FIA Install FIA Install FIA Flow rate too low, delay in process Install FICA Bottler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Pump from brightening tank fails Flow rate to high, over flow, pressure build Install FICA Valves to keg filler and In house full closed Flow rate to high, over flow, pressure build Install FIA 167 | P a g e No Valve to bottler fails to open Valve from Brightening Tank fails to open Pump from brightening tank fails Level Less No Install FIA Install FIA Flow rate too low, delay in process Install FICA Bottler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA Valve to Bottler fails to open Bottler malfunction More Delay in process, pressure build in pipes Delay in process, possible pump damage Delay in process, pressure build in pipes Inaccurate product levels, loss of sales Install FIA Install FICA Pump from brightening tank fails Flow rate too low, delay in process Install FICA Valves to keg filler and In house full closed Flow rate to high, over flow, pressure build Install FIA Bottler malfunction Overflow, loss of Product Install FICA Valve to bottler fails to open Delay in process, pressure build in pipes Install FIA Bottler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA 168 | P a g e Pressure Less Under filling bottles Rupture in bottles, loss of product and sales Delay in process, pressure build in pipes Inaccurate product levels, loss of sales No Bottler malfunction unable to fill kegs, loss of sales Routine maintenance, Install FICA Rupture in piping Loss of product Install FIA Contaminant in Bottles Contamination of product Adequate rinsing and sanitizing More Overfilling bottles Valve to bottler fails to open Composition As Well As Install LAH Install PIA Install LAL Table 42: HAZOP - Process Component: In House Kegs Study Node Process Parameters Deviations Possible Causes In House Kegs Flow Less Valve to vessel fails to open Valve to keg filler full open Valve to bottler full open Valve from Brightening Tank fails to open Pump from brightening tank fails More Possible Consequence Delay in process, pressure build in pipes Delay in process, loss of product to storage Delay in process, loss of product to storage Delay in process, possible pump damage Action Required Install FIA Install FIA Install FIA Install FIA Flow rate too low, delay in process Install FICA Leak in vessel wall Loss of product Routine maintenance, Install LAL Pump from brightening tank fails Flow rate to high, over flow, pressure build Install FICA 169 | P a g e Valves to keg filler and Bottler full closed No Valve to vessel fails to open Valve from Brightening Tank fails to open Pump from brightening tank fails Level Flow rate to high, over flow, pressure build Delay in process, pressure build in pipes Delay in process, possible pump damage Install FIA Install FIA Install FIA Flow rate too low, delay in process Install FICA Rupture in Vessel wall Loss of product Routine maintenance, Install LAL Rupture in piping Loss of product Install FIA Valve to vessel fails to open Delay in process, pressure build in pipes Install FIA Leak in Vessel wall Loss of product Routine maintenance, Install LAL Pump from brightening tank fails Flow rate too low, delay in process Install FICA More Valves to keg filler and bottler closed Flow rate to high, over flow, pressure build Install FIA, LAH No Valve to vessel fails to open Delay in process, pressure build in pipes Install FIA Rupture in vessel wall Loss of product Routine maintenance, Install LAL Rupture in piping Loss of product Install FIA Less 170 | P a g e Pressure More Overfilling Vessel Valve to vessel fails to open Less No Under filling vessel Leak in vessel wall Rupture in piping Rupture in vessel wall, loss of product and sales Delay in process, pressure build in pipes Inaccurate product levels, loss of sales Install LAH Install PIA Install LAL Loss of product Routine maintenance Loss of product Install FIA Table 43: HAZOP - Process Component: Steam Generator Study Node Process Parameter s Steam Generator Temperatur e Pressure Possible Consequence Action Required Less not enough natural gas Not enough steam produced, loss of product Install TIA Later not enough natural gas Not enough steam produced, loss of product Install TIA Less not enough water flow Deviations Possible Causes not enough natural gas Condensation in pipes Leak in pipe threshold sensor in pipe malfunction Not enough steam produced, loss of product Not enough steam produced, loss of product wet steam, inefficient heating, possible loss of product loss of steam, inefficient heating Not enough steam produced, loss of product Install PIA and water flow water flow meter Install PIA Install PIA Install PIA routine maintenance/ testing on PIA 171 | P a g e Burner malfunction More too much water flow Furnace too hot Blockage in pipe No Level Less No Too much steam produced, pipes burst steam being produced too fast, pipes burst pipe bursts routine maintenance, Install PIA Install PIA Install PIA Install PIA routine maintenance/ testing on PIA threshold sensor in pipe malfunction pipe bursts Leak in water pipe No steam produced Install FIA No water flow No steam produced Install FIA not enough water flow Leak in water pipe More Not enough steam produced, loss of product Not enough steam produced, loss of product loss of steam, inefficient heating Install PIA and water flow water flow meter Install FIA Water flow rate too high wet steam produced, inefficient heating Install FIA blockage in steam pipe Pipe bursts Install PIA No water flow leak in water pipe Leak in steam pipe No steam produced, unable to brew No steam produced, unable to brew unable to brew Install FIA Install FIA Install PIA Table 44: HAZOP - Process Component: Instant Water Heater 172 | P a g e Study Node Process Parameters Instant Water Heater Temperature Less Deviations Possible Causes Steam flow rate too low Water flow rate too high Wet Steam Leak in steam line Heater malfunction More Steam flow rate too high Water low rate too low Heater malfunction Pressure Less No steam flow No water Flow Condensation in pipes Leak in pipe More Water flow to high Possible Consequence Wrong mash temperature, loss of product Wrong mash temperature, loss of product Wrong mash temperature, loss of product less steam flow, possible loss of product Wrong mash temperature, loss of product mash temp too high, loss of product mash temp too high, loss of product mash temp too high, loss of product loss of product unable to regulate temp, loss of product inefficient heating, possible loss of product loss of steam, inefficient heating inefficient heating, possible loss of product Action Required Install TIA Install TIA Install TIA Install TIA and FIA Routine maintenance Install TIA Install TIA and FIA Routine maintenance Install PIA Install PIA Install PIA Install PIA Install PIA and FIA 173 | P a g e Steam flow too high Blockage in pipe Flow Less Blockage in pipe Leak in water pipe Valve not fully open Blockage in steam pipe More No inefficient heating, possible loss of product pipe ruptures unable to regulate temp, loss of product unable to regulate temp, loss of product unable to regulate temp, loss of product unable to regulate temp, loss of product Install PIA Install PIA Install PIA Install FIA Install FIA Install FIA steam pressure too high temperature too high, possible loss of product Install FIA and PIA Leak in steam pipe unable to brew Install PIA Water valve closed unable to brew Install FIA leak in water pipe unable to regulate temp, loss of product Install FIA Table 45: HAZOP - Process Component: Cooling Unit Study Node Process Parameters Cooling Unit Temperature Less Deviations More Possible Causes unit malfunction unit malfunction Possible Consequence wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product Action Required Install TIA Install TIA 174 | P a g e Flow too fast Flow Less Leak in vessel wall pump failure Unit malfunction Valve from city water not open More No Pump speed too high Pump malfunction valve from city water not open wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product, Pump runs dry wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product, Pump runs dry wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product wrong fermentation temperature, loss of product, Pump runs dry Install FIA Install FIA Install FIA Install FIA Install FIA Install FIA Install FIA Install FIA 175 | P a g e Appendix – E: Environmental Concerns: Dust Regulations and Containment In any process in which dust is being generated there exists the potential for an explosion which may result in the death of personnel and the destruction of property. An increasing incidence rate of explosions has prompted the Occupational Safety and Health Administration (OSHA) to enact industry standards to minimize this risk. In a brewery barley is transported from a grain silo to a mill which breaks open barley in order to make the starch inside of it accessible in the mashing tank. Significant amounts of dust are generated during this process and so it must abide to the regulations set forth by OSHA in order to provide a safe working environment. The following regulations pertain to minimizing the risk of grain explosions: 1910.272(e)(1)(i) General safety precautions associated with the facility, including recognition and preventive measures for the hazards related to dust accumulations and common ignition sources such as smoking; and, 1910.272(e)(1)(ii) Specific procedures and safety practices applicable to their job tasks including but not limited to, cleaning procedures for grinding equipment, clearing procedures for choked legs, housekeeping procedures, hot work procedures, preventive maintenance procedures and lockout/tag-out procedures. 1910.272(i)(1) The employer shall inform contractors performing work at the grain handling facility of known potential fire and explosion hazards related to the contractor's work and work area. The employer shall also inform contractors of the applicable safety rules of the facility. 176 | P a g e 1910.272(j)(1) The employer shall develop and implement a written housekeeping program that establishes the frequency and method(s) determined best to reduce accumulations of fugitive grain dust on ledges, floors, equipment, and other exposed surfaces. 1910.272(j)(2)(i) Priority housekeeping areas shall include at least the following: 1910.272(j)(2)(i)(B) Floors of enclosed areas containing grinding equipment; 1910.272(j)(2)(ii) The employer shall immediately remove any fugitive grain dust accumulations whenever they exceed 1/8 inch (.32 cm) at priority housekeeping areas, pursuant to the housekeeping program, or shall demonstrate and assure, through the development and implementation of the housekeeping program, that equivalent protection is provided. 1910.272(j)(3) The use of compressed air to blow dust from ledges, walls, and other areas shall only be permitted when all machinery that presents an ignition source in the area is shut-down, and all other known potential ignition sources in the area are removed or controlled. 1910.272(j)(4) Grain and product spills shall not be considered fugitive grain dust accumulations. However, the housekeeping program shall address the procedures for removing such spills from the work area. 1910.272(l) Filter collectors. 177 | P a g e 1910.272(l)(1) All fabric dust filter collectors which are a part of a pneumatic dust collection system shall be equipped with a monitoring device that will indicate a pressure drop across the surface of the filter. 1910.272(l)(2) Filter collectors installed after March 30, 1988 shall be: 1910.272(l)(2)(i) Located outside the facility; or 1910.272(l)(2)(ii) Located in an area inside the facility protected by an explosion suppression system; or 1910.272(l)(2)(iii) Located in an area inside the facility that is separated from other areas of the facility by construction having at least a one hour fire-resistance rating, and which is adjacent to an exterior wall and vented to the outside. The vent and ductwork shall be designed to resist rupture due to deflagration. 1910.272(m) Preventive maintenance. 1910.272(m)(1) The employer shall implement preventive maintenance procedures consisting of: 1910.272(m)(1)(i) 178 | P a g e Regularly scheduled inspections of at least the mechanical and safety control equipment associated with dryers, grain stream processing equipment, dust collection equipment including filter collectors, and bucket elevators; 179 | P a g e Appendix – F: Profitability Excel Charts Capital Investment ES TIMATION OF CAPITAL INVES TMENT BY PERCENTAGE OF DELIVERED EQUIPMENT METHOD (See Table 6-9) The fractions in the cells below are approximations applicable to typical chemical processing plants. These values may differ depending on many factors such as location, process type, etc. Required user input Subtotal Result Default Required, from a linked sheet or entered manually Project Identifier: Illustration 101 Purchased equipment, E' Delivery, fraction of E' Subtotal: delivered equipment Purchased equipment installation Instrumentation&Controls(installed Piping (installed) Electrical systems (installed) Buildings (including services) Yard improvements Service facilities (installed) Total direct costs Engineering and supervision Construction expenses Legal expenses Contractor's fee Contingency Total indirect costs Notes & comments Fraction of delivered equipment User: copy Calculated from values values, million SolidSolid-fluid Fluid processing processing processing at left or $ insert plant plant plant Direct Costs 0.984 0.10 0.10 0.10 0.000 0.45 0.18 0.16 0.10 0.39 0.26 0.31 0.10 0.47 0.36 0.68 0.11 0.03 0.02 0.00 0.00 0.25 0.15 0.40 1.69 0.29 0.12 0.55 2.02 0.18 0.10 0.70 2.60 0.06 0.01 0.00 0.12 Indirect Costs 0.33 0.39 0.04 0.17 0.35 1.28 0.32 0.34 0.04 0.19 0.37 1.26 0.33 0.41 0.04 0.22 0.44 1.44 0.10 0.08 0.01 0.02 0.08 0.29 Fixed capital investment (FCI) Working capital (WC) 0.70 0.75 Total capital investment (TCI) 0.000 0.984 0.030 0.020 0.000 0.000 0.059 0.010 0.000 1.102 0.098 0.079 0.010 0.020 0.079 0.285 1.388 0.89 0.75 0.738 2.126 180 | P a g e Materials and Labor ANNUAL RAW MATERIAL COSTS AND PRODUCTS VALUES Process Identifier: Illustration 101 Required user input Notes & comments Default, may be changed RESULT Products, Coproducts and Byproducts Name of Price, Annual Annual value Material $/kg Amount, of product, million million $/y kg/y Main 1.60 30.000 48.00 General Byproduct 0.25 12.000 3.00 Head Brew 0.00 Owner 0.00 Invetory 0.00 0.00 Total annual value of products = 2.619336 Sent to 'Evaluation' and 'Year-0 $' Name of Material 1 2 3 Raw Materials Price, Annual $/kg Amount, million kg/y 0.45 0.25 0.05 20.000 12.000 13.000 Total annual cost of raw materials = Annual raw materials cost, million $/y 9.00 3.00 0.65 0.00 0.00 0.00 0.26347 ANNUAL OPERATING LABOR COSTS Process Identifier: Illustration 101 Required user input Notes & comments Default, may be changed RESULT Operating Labor Number of Shifts per Operator Annual operators per day** rate, $/h # operating shift* labor cost, 1 14.42 3 0.126 1 48.08 1 0.140 1 26.44 1 0.077 1 16.83 1 0.049 0.393 *See Tables 6-13 and Fig. 6-9. **Default = 3 for continuous process. Enter appropriate value for batch operation. # To obtain current, local value, enter (latest local ENR skilled labor index)/6067 = 1 Sent to sheet 'Annual TPC' 181 | P a g e Utility Cost Utility 0.039 million $/y Sent to sheet 'Annual TPC' Annual utility Default requirement, in cost units appropriate units Default unit cost TOTAL UTILITY COST = Default units Annual utility of utility cost, million requirement $/y Air, compressed Process air 0.45 $/100m3 # 100 m3# /y Instrument air 0.90 $/100m3 # 100 m3# /y Electricity Purchased, U.S. average 0.045 $/kWh Self-generated 0.05 $/kWh Coal 1.66 $/GJ Fuel oil 3.30 $/GJ Natural gas 3.00 $/GJ Manufactured gas 1800000 kWh/y 0.0267820 kWh/y Fuel GJ/y GJ/y GJ/y 0.0017395 12.00 $/GJ GJ/y 0.0062734 4.00 $/GJ GJ/y 5.00 $/GJ GJ/y 8.00 $/GJ GJ/y 14.00 $/GJ GJ/y 360000 Refrigeration, to temperature 15 o C 5 °C o -20 C o -50 C Steam, saturated 3550 kPa 8.00 $/1000 kg 790 kPa 6.00 $/1000 kg 2.00 $/1000 kg 0.53 $/m3 0.53 3 Exhaust (150 kPa) 1000 kg/y 40000 1000 kg/y 1000 kg/y Waste water Disposal Treatment $/m m3 /y 400000 m3 /y Waste disposal Hazardous 145.00 $/1000 kg 1000 kg/y Non-hazardous 36.00 $/1000 kg 1000 kg/y 0.001908 Water Cooling 0.08 $/ m3 2500000 m3 /y 0.53 $/m3 400000 m3 /y 0.90 3 Process General Distilled $/m 0.00264983 3 m /y 182 | P a g e Depreciation Recovery period 3-year f 7-year 10-year 15-year 20-year Entry = MACRS depreciation as fraction/y of FCI YEAR 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0.333 0.444 0.148 0.074 0.200 0.320 0.192 0.115 0.115 0.058 0.143 0.245 0.175 0.125 0.089 0.089 0.089 0.045 0.100 0.180 0.144 0.115 0.092 0.074 0.066 0.066 0.066 0.066 0.033 0.050 0.095 0.086 0.077 0.069 0.062 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.059 0.030 0.038 0.072 0.067 0.062 0.057 0.053 0.049 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.045 0.022 Evaluation ECONOMIC EVALUATION Project identifier: Illustration 101 Expenditures, entries must be negative Default values, can be changed Required, user must supply CURRENT, i.e. INFLATED, DOLLARS Construction inflation rate, fraction/y = 0.02 Product price inflation rate, fraction/y = 0 TPC inflation rate, fraction/y = 0.02 Annual-compounding discount rate, fraction/y = minimum acceptable rate of return, m ar = Required, may be calculated here, in linked worksheet, or entered manually Comments and notes begin in column S Year ending at time -3 6 1. Land, 10 $ (see notes) -2 -1 0 0.00 0.00 0.00 2. Fixed Capital Investment, 106$ -0.21 -0.50 -0.72 3. Working Capital, 106$ (see notes) -0.76 4. Salvage Value, 106$ 5. Total Capital Investment, 106$ -0.21 -0.50 -1.48 6. Annual Investment, 106$ 6 7. Start-up cost, 10 $ 8. Operating rate, fraction of capacity 9. Annual sales, 106$ 10. Annual Total Product Cost, depreciation not included,106$ 11. Annual depreciation factor, 1/y 12. Annual depreciation, 106$/y 13. Annual Gross Profit, 106$ 14. Annual Net Profit, 106$ 15. Annual operating cash flow,106$ 16. Total annual cash flow, 106$ 0.00 -0.21 -0.50 -1.48 17. Cumulative cash position, 106$ 0.00 -0.21 -0.70 -2.18 Profitability measures, time value of money NOT included: 18. Return on investment, ave. %/y 19. Payback period, y 20. Net return, 106$ 0.21 Continuous-compounding discount rate, fraction/y = minimum acceptable rate of return, r ma= Income tax rate = 0.35 RESULT 1 2 3 4 5 6 7 8 9 0.19 10 0.00 0.76 0.00 Row Sum 0.00 -1.43 0.00 0.00 -2.18 0.00 0.00 -0.14 0.50 1.31 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.90 2.36 1.00 2.62 1.00 2.62 1.00 2.62 1.00 2.62 1.00 2.62 1.00 2.62 1.00 2.62 1.00 2.62 24.62 -0.81 -1.15 -1.26 -1.28 -1.31 -1.34 -1.36 -1.39 -1.42 -1.45 -12.77 0.20 0.29 0.07 0.05 0.33 0.33 -1.85 0.320 0.46 0.75 0.49 0.94 0.94 -0.91 0.192 0.27 1.09 0.71 0.98 0.98 0.07 0.115 0.16 1.17 0.76 0.92 0.92 1.00 0.115 0.16 1.14 0.74 0.91 0.91 1.91 0.058 0.08 1.20 0.78 0.86 0.86 2.77 1.26 0.82 0.82 0.82 3.58 1.23 0.80 0.80 0.80 4.38 1.20 0.78 0.78 0.78 5.16 1.17 0.76 0.76 0.76 5.93 1.43 10.28 6.68 8.11 5.93 30.6 1.8 0.21 at mar = 21.0 %/y 183 | P a g e Annual TPC ANNUAL TOTAL PRODUCT COST AT 100% CAPACITY See Figure 6-7 and 6-8 Default, may be changed Subtotal Notes & comments User input RESULT Required, may be calculated here, in linked worksheet, or entered manually. Project identifier: Illustration 101 Capacity Fixed Capital Investment, FCI Item 30 1.426 106 kg per year million $ Default factor, user may change Basis Basis Cost, cost, million $/y million $/y 0.263 Raw materials 0.393 Operating labor Operating supervision 0.15 of operating labor 0.393 0.059 Utilities 0.039 Maintenance and repairs 0 of FCI 1.426 0.000 Operating supplies 0 of maintenance & repair 0.000 0.000 Cleaners 0 of operating labor 0.393 0.003 of c o Royalties (if not on lump-sum basis) 0 1.141 0.000 Bottels/Labels 0 -0.003 Variable cost = 0.761 Taxes (property) 0.02 of FCI 1.426 0.029 Financing (interest) 0.08 of FCI 1.426 0.114 Insurance 0.01 of FCI 1.426 0.014 Rent 0 of FCI 1.426 0.000 Depreciation Calculated separately Fixed Charges = 0.157 Plant overhead, general 0.5 of labor, supervision and 0.452 maintenance 0.226 Plant Overhead = 0.226 Manufacturing cost = 1.144 Administration 0 of labor, supervision and 0.452 maintenance 0.000 of c o Distribution & selling 0 1.141 0.000 Research & Development 0 of c o 1.141 General Expense = TOTAL PRODUCT COST WITHOUT DEPRECIATION = co = 0.000 0.000 1.141 184 | P a g e 185 | P a g e