Improved Mechanical Design and Thermal Testing of MIT Solarclave by Louise E. van den Heuvel ___ ___ MASSACHUSETS INSTM'UTE OF TECHNOLOGY JUL 3 0 2014 Submitted to the Department of Mechanical Engineering in Partial Fulfillment of the Requirements for the Degree of LIBRARIES Bachelor of Science in Mechanical Engineering at the Massachusetts Institute of Technology June 2014 @ 2014 Massachusetts Institute of Technology. All rights reserved. Signature redacted Signature of Author: Department of Mechanical Engineering May 9, 2013 Signature redacted Certified by: Sanjay E. Sarma Professor of Mechanical Engineering Thesis Supervisor Signature redacted Accepted by: AnetteHosoi Professor of Mechanical Engineering Undergraduate Officer Improved Mechanical Design and Thermal Testing of MIT Solarclave by Louise E. van den Heuvel Submitted to the Department of Mechanical Engineering on May 9, 2014 in Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Mechanical Engineering ABSTRACT Solarclave is a solar-powered autoclave designed for use in rural health clinics in developing countries. The autoclave must sufficiently sterilize medical instruments to ensure that they can safely be used in providing patient care. The medical instruments are sterilized in a pressure cooker that is heated by concentrated sunlight from a parabolic reflective surface. Previous iterations and testing of the Solarclave proved that sunlight and a pressure cooker could sufficiently sterilize equipment. However, usability problems and cost constraints require that the design be further improved before dissemination can occur. Critical design decisions that this work makes include updating the reflective structure, the pressure cooker, and the pressure cooker insulation. The combination of choices must meet user needs and provide sufficient sterilization at a minimum cost. A reflective structure was selected based on its low cost and listed ability to meet existing power consumption needs. A mathematical model was created to estimate the actual usable power output of the selected reflective structure based on its dimensions and reflectivity, as well as expected intensity of solar radiation. Furthermore, a thermal circuit model was developed to predict the temperature over time inside the pressure cooker as a function of input power, pressure cooker dimensions, and insulation material choice. The mathematical model was evaluated by measuring the temperature outside the pressure cooker over time, recording all relevant parameters, and comparing the results to those predicted by the model. The results indicated that the theoretical input power estimate was too high, but that the thermal circuit was an appropriate approach to modeling the heat loss of the system. The usability of the system showed major improvements in terms of ease-of-use, but needs further design in terms of its aesthetics. Thesis Supervisor: Sanjay E. Sarma Title: Professor of Mechanical Engineering 3 ACKNOWLEDGEMENTS I would like to acknowledge Dr. Stephen Ho for helping in the development of this thesis, as well as Professor Sanjay Sarma for being my faculty advisor for this thesis. I would like to thank current leaders of the Solarclave project, Anna Young and Josd G6mezMdrquez, and past contributing members to project. I must especially thank Anna Young for organizing and accompanying me on the trip to Nicaragua to perform testing for this thesis. I thank Dr. Miguel Orozco, Director of CIES-UNAN, and other members of CIES for facilitating our stay in Managua. I would also like to thank Kenneth McAneney for introducing me to the project in late 2012. Lastly, I must also thank my friends and family for providing support along the way. Contents List of Figures............................................................................................................................................................. 9 List of Tables ........................................................................................................................................................... 11 Introduction................................................................................................................................................... 12 1 2 3 1.1 Solarclave M otivation........................................................................................................................ 12 1.2 Sun as a Source of Energy................................................................................................................ 13 1.3 Sterilization by High Temperature Steam Using a Pressure Cooker .......... 14 1.4 User Needs..............................................................................................................................................15 1.5 M IT Solarclave History...................................................................................................................... 16 New Solarclave Design.............................................................................................................................. 18 2.1 Concentrator Selection...................................................................................................................... 18 2.2 Pressure Cooker Selection............................................................................................................... 20 2.3 Therm al Insulation ............................................................................................................................. 21 Theoretical M odel of Solarclave............................................................................................................ 22 Pow er of Parabolic Solar Concentrator ............................................................................... 3.1 3.1.1 Pow er from Sun........................................................................................................................... 22 3.1.2 Input Pow er to Pressure Cooker...................................................................................... 23 3.1.3 Limitations of Concentrator M odel................................................................................ 25 Therm al Analysis of Pressure Cooker .................................................................................. 26 3.2 4 22 3.2.1 Sim plified Physical M odel of Pressure Cooker .......................................................... 26 3.2.2 Temperature over Time Given Power Input: Heating Phase ............................. 27 3.2.3 Temperature over Time Given Power Input: Holding Phase ............................. 30 3.2.4 Iterative Im plem entation of M odel................................................................................ 30 3.2.5 Lim itations of Pressure Cooker M odel.......................................................................... 31 Tem perature M easurem ent.................................................................................................................... 6 32 4.1 Fagor Cooker Insulation Assem bly................................................................................ 33 4.1.2 Tramontina Cooker Insulation Assembly .................................................................... 35 4.1.3 Sterilization Packet Preparation ..................................................................................... . 36 Experim ental Procedure .................................................................................................................. 37 R esults & D iscussion .................................................................................................................................. 5.1 Comparison of Temperature Results with Model........................................................... 39 40 5.1.1 T rial 1.1 ........................................................................................................................................... 40 5.1.2 T rial 1.2 ........................................................................................................................................... 42 5.1.3 T rial 2.2 ........................................................................................................................................... 43 5.1.4 T rial 2.4 ........................................................................................................................................ 45 Oth er Tem perature R esults from Trials.................................................................................... 47 5.2 6 33 4.1.1 4.2 5 Assem bly of Solarclave Com ponents..................................................................................... 5.2.1 T rial 2.1 ........................................................................................................................................... 47 5.2.2 T rial 2. ........................................................................................................................................... 48 5.2.3 Trial 2.4b ........................................................................................................................................ 49 5.2.4 Trial 2.5a and Trial 2.5b ................................................................................................... 5.2.5 Trial 3.1 ........................................................................................................................................... 51 5.2.6 Trial 3.2 ........................................................................................................................................... 52 5.3 R eliability of A ssessing Sterilization .................................................................................... . 53 5.4 Usability: Comparison of Concentrators ............................................................................ 54 5.5 Suggestions for Future W ork ........................................................................................................ 56 . 50 5.5.1 Physical System Design Improvements and Considerations............ 56 5.5.2 Further Development of Theoretical Model.............................................................. 58 5.5.3 Im prov ed T esting ....................................................................................................................... 58 Conclusion ...................................................................................................................................................... 7 59 60 7 Appendix A: Sterilization Times for Varying Steam Temperatures [4]........................... 9 Appendix B: MATLAB for Calculating Maximum Projected Area of Cylinder .............. 61 10 Appendix C: Iterative MATLAB CODE ......................................................................................... 62 12 Appendix D: Weather Data [7] during Testing....................................................................... 64 13 B ibliography ............................................................................................................................................... 65 8 List of Figures Figure 1-1: World insolation map shows the expected number of full sun-hours one can expect across the globe, averaged over a year. 1 sun-hour equals 1 kWh per square meter per day. (Source: BP, 2009) .............................................................................................................................. 13 Figure 1-2: Iteration of Solarclave from 2012. The concentrator adjustment system was particularly unrefined and difficult for a single user to operate................................................. 17 Figure 2-1: The two collectors are pictured......................................................................................... 19 Figure 3-1: A parabolic mirror can be oriented such that all of the incoming rays reflect off the mirror toward the same point, which is the focal point of the parabola.......................... 24 Figure 3-2: The right graphic shows a cross-sectional view of the simplified model of the pressure cooker used in this work, with critical dimensions listed. The "mass" includes the m edical instrum ents and trivet....................................................................................................................... 26 Figure 3-3: Thermal resistance network between the pressure cooker at temperature opc and the ambient environment at temperature eamb.......................................................................... 28 Figure 3-4: Plot shows the theoretical temperature over time with expected conditions during testing. The model with loss appears linear, but is not, which can be seen when com paring to the no-loss m odel..................................................................................................................... 31 Figure 4-1: Picture of Fagor cooker shows layers of insulation and attachment of Temperature Probe A. Temperature Probe B was similarly attached on the opposite side of th e cook er................................................................................................................................................................. 34 Figure 4-2: Picture of Fagor cooker shows position of Temperature Probe C and initial layer of ceram ic fiber on cooker lid............................................................................................................... 34 Figure 4-3: Fagor cooker shown with full insulation....................................................................... 35 Figure 4-4: Tramontina cooker shown with insulating sleeve. The photo is from the third day of testing, which used two temperature probes on the Tramontina cooker................. 36 Figure 4-5: An example of the contents in a sterilization packet. Two medical instruments and one Vapor Line integrator were inside, and an additional integrator was taped to the outsid e......................................................................................................................................................................... 36 Figure 4-6: Solarclave shown with light concentrated on bottom of cooker........................ 38 9 Figure 5-1: Temperature results from Trial 1.1, plotted with the theoretical prediction... 41 Figure 5-2: The three sterilization packets of Trial 1.1 are pictured. None of the steam integrators passed, though some progress was made toward achieving sterilizing.......... 42 Figure 5-3: Temperature data from Trial 1.2 is compared to the theoretical model. Trial 1.2 reached a standard boil and was allowed to cool down while the Solarclave was turned away from the sun................................................................................................................................................. 43 Figure 5-4: The data from Trial 2.2 compared with the theoretical model is shown. There may not have been enough water added to the cooker, which caused the temperature to clim b after the w ater ran out........................................................................................................................... 44 Figure 5-5: The three steam integrators from Trial 2.2 are pictured. One of the integrators (center in image) showed evidence of burning, but all three passed....................................... 45 Figure 5-6: The data for Trial 2.4a is shown in comparison with the theoretical model prediction. The model clearly overestimates the rate of heating............................................... 46 Figure 5-7: Example of clouds overhead during testing. The scattered higher clouds did not impact testing progress, but the lower clouds caused drops in temperature readings......... 47 Figure 5-8: Temperature data from Trial 2.1 is shown................................................................. 48 Figure 5-9: The plot of Trial 2.4a (6-petal and Fagor) and 2.4a (24-petal and Tramontina) are shown. The heating time of the former combination is significantly faster than the latter............................................................................................................................................................................4 9 Figure 5-10: Temperature data from Trials 2.5a (6-petal and Tramontina) and 2.5b (24petal and Fagor) are shown.............................................................................................................................. 50 Figure 5-11: Temperature data from both probes of Trial 1 on Day 3 are shown. The uninsulated probe had much more variability in its readings.................................................... 51 Figure 5-12: A 2x4 array of integrators was placed in the cooker for Trial 3.2. All passed, but the results from the chemical indicator cause varying degrees of certainty in the results. ....................................................................................................................................................................................... 10 53 List of Tables Table 1: Trials are listing with the time of the trial, combination of cooker and concentrator, as well as which probe positions were used.......................................................... 39 Table 2: This Pugh chart compares the previous mirror assembly to the two collectors tested in this work. A "+" indicated that the product does well on that characteristic compared to the previous Solarclave iteration as a baseline, while a "-" indicated the opposite and blank is neutral........................................................................................................................... 11 55 1 Introduction Solarclave is a solar-powered autoclave, which is a device used to sterilize medical equipment. It was designed by the MIT Little Devices Lab as a way to address sterilization needs at off-grid rural health clinics in developing countries. The project was piloted in Nicaragua in 2012. During the pilot testing, several functional models of the Solarclave showed that concentrating thermal energy on the bottom of an insulated pressure cooker is a viable method for sufficiently achieving sterilization conditions. However, usability and cost of the Solarclave was wanting. This work aims to improve the previous design of the Solarclave by addressing several usability concerns, while maintaining functionality of the system and satisfying cost constraints. The design of a sustainable autoclave for developing countries has the potential to provide safer care to a substantial patient population [1]. The two major systems of the Solarclave are the solar collectors and the insulated pressure cooker. In redesigning the Solarclave, new components were selected for both systems (see Section 2). A thermal model was created of the resulting Solarclave to estimate the ability of the system to achieve sterilization conditions given the expected input solar energy (see Section 3). The primary variable of interest is the temperature inside the pressure cooker over time. The physical system was tested in Nicaragua (see Section 4). The Solarclave was run while several temperature probes were used to measure the temperature of the outside of the pressure cooker over time. This parameter is also estimated by the theoretical model, which allows for comparison of the model to the physical test (see Section 5.1). Achievement of sterilization conditions is assessed based on measured temperatures as well as chemical indicators used during testing (see Section 5.3). Further recommendations for the Solarclave are made based on the experimental results (see Section 5.5). 1.1 Solarciave Motivation The Solarclave project was started as an attempt to address the lack of standard and sufficient sterilization methods in rural health clinics where elevated post-surgical infection rates are observed. Some clinics receive a donation of a first-world electricallypowered autoclave, a device that sterilizes medical equipment through high pressure 12 saturated steam. However, the benefit of such a donation quickly subsides if the autoclave breaks down, because of a lack of a local maintenance infrastructure necessary to repair the machine. Furthermore, a majority of the clinics lack the electricity required to run a first-world autoclave [1]. Thus, the Solarclave project aims to create an autoclave that would be sustainable in the limited-resource environment of rural health clinics. 1.2 Sun as a Source of Energy In 2012, the Solarclave project was piloted in the developing country of Nicaragua. Like many other developing countries, Nicaragua is located in a region where one source of energy is particularly abundant and renewable: solar power. The sun is a clean energy source and, perhaps more importantly, it is also a free energy source. Figure 1-1 is a map of the solar insolation of the world, averaged over a year. Nicaragua is located in an area that experiences 4.0 to 5.9 full sun-hours per day, averaged over a year. One sun-hour is equivalent to 1 kWh/m 2 [2]. This average range of hours suggests that there is significant opportunity for utilizing the sun to power medical devices at rural health clinics. NicarIA Figure 1-1: World insolation map shows the expected number of full sun-hours one can expect across the globe, averaged over a year. 1 sun-hour equals 1 kWh per square meter per day. (Source: BP, 2009) Two primary forms of harvesting power from the sun include photovoltaics, which convert solar radiation into electricity, and concentrating solar power, which concentrates a large area of sunlight onto a smaller one using lenses or mirrors. Electricity from a photovoltaic system could be used to power an electric autoclave, but the power consumption required to reach the temperatures necessary for sterilization is high and economically impractical. 13 In areas with good solar insolation, it is more efficient to directly sterilize with concentrated thermal energy using a solar thermal collector system, which can be very low-cost [3]. Solar thermal collector systems are also more durable than their photovoltaic counterpart, and less technologically complex, both desirable properties for the Solarclave. Hence, concentrating solar power was selected as the energy source for the Solarclave project. 1.3 Sterilization by High Temperature Steam Using a Pressure Cooker Sterilization is the process of using a killing agent to significantly reduce the bioburden on an object. By standards of the International Organization for Standardization (ISO), an object is considered sterile if the chance that there are viable microorganisms on it is less than 1 to a million. One of the safest and most comment agents for sterilization of medical supplies in health facilities is high temperature steam. High temperature is achieved by pressurizing the steam. Steam is easily made, clean, not toxic, and not corrosive. Furthermore, due to its effective transfer of heat during condensation, steam is also able to kill living organisms at relatively low temperatures in a short amount of time [3]. Sterilization can be achieved using steam at any temperature, but the required sterilization time is longer for lower temperatures. Standard sterilization conditions using high temperature steam are 121 *C for 15 minutes or 134 *C for 3 minutes (see Section 7, Appendix A, for full range of temperatures and corresponding sterilization times). An autoclave is a device that uses high-temperature steam as a killing agent for sterilization. The process of sterilizing medical instruments using an autoclave is known as autoclaving [4]. In order to create and maintain high temperature steam, the basic requirement for an autoclave is that it be able to sustain the corresponding high pressures. A simple device that satisfies this requirement is a standard pressure cooker. A pressure cooker is constructed as a pressure vessel with a lid and closing mechanism and a gasket between them. It also has a pressure control valve, as well as a safety valve in case the pressure valve fails. To use a pressure cooker as an autoclave, a layer of water is added to pressure cooker pot. A metal shelf, called a trivet, is placed inside the pot. This allows the instruments to be 14 sterilized to be placed inside the cooker in a way that prevents the instruments from becoming wet by contact with the water rather than the steam. The pressure cooker then requires a heat source, which is concentrated sunlight in the case of the Solarclave. The water in the pressure cooker will heat up until it turns into steam. The steam will escape noticeably from the pressure valve when the cooker's set pressure (and corresponding sterilization temperature) is reached. The escape of steam signifies when timing of the sterilization should begin. After sufficient time has passed based on the conditions of the pressure cooker, it can be removed from the heat source and allowed to cool down and depressurize, which completes the sterilization cycle. 1.4 User Needs A successfully designed Solarclave must satisfy a number of user needs. The essential requirement is the ability to adequately sterilize medical equipment while powered by a locally available source. In this case, the sun is used as the power source. The Solarclave will be used in rural environments of developing countries. It should be durable and be able to operate while exposed to wind, dirt, and of course, high temperature. In order to encourage dissemination and continued use of the system, there are a number of additional requirements driven by user needs. The cost of the Solarclave should be minimized. The target sum of the bill of materials is $150-$200, based on past discussion between the Solarclave group and with several Nicaraguan health organizations. The expected users of the Solarclave are the female nurses that work at the health clinics. To save valuable time of the nurses, the ideal Solarclave should be able to be operated by a single nurse. Thus, any actions required to operate the system should be reasonable for a single, female user. The time to complete sterilization as well as active time for the user should be minimized. The Solarclave should be intuitive and safe to use. Additionally, it should be possible for repairs to happen locally in the event of a component failure. In the early stages of the Solarclave, it was considered a high priority to construct the Solarclave from locally manufactured materials. However, potential buyer demands changed and allowed this to be a low priority item. Foreign manufactured components could be considered if they were more cost efficient than the potential local counterparts. 15 However, long-term use and possible repairs should be considered in the analysis of cost efficiency. Finally, the Solarclave should also have a number of aesthetic characteristics. It is desired that the system looks "cool" and easy to use. It must also look like reliable medical equipment. However, it must also be designed in a way that discourages theft. Any components that would be left unattended should not appear valuable for other purposes. 1.5 MIT Solarciave History The Solarclave has had several past iterations. As mentioned in Section 1.4, preliminary designs required the design to be built using materials available in Nicaragua. Figure 1-2 shows an example of an iteration from 2012. The mirror array was arranged on top of a structure comprised of wooden slats with cuts that were angled to allow the mirrors to concentrate the sunlight. The Solarclave requires a minimum of two modes of adjustment to align the concentrated sunlight with the bottom of the pressure cooker: one for azimuth adjustment and the other for elevation adjustment to account for the travel of the sun in the sky. The Solarclave shown in Figure 1-2 addressed those two necessary modes with a total of four adjustment areas, three of which are highlighted in the figure. The discrete rungs of the ramp allow angling of the concentrator box from the ground to adjust for the elevation of the sun. The rungs along the vertical rails allow discrete adjustment of the height of the cooker, also for elevation changes. Finally, the sliding clamp between the vertical rails and the concentrator box are another joint that allows adjustment for changes in the elevation of the sun. The second necessary mode of adjustment is to respond to changes in the azimuth of the sun. This iteration of the Solarclave required the.operator to rotate the entire system by lifting and turning it. The concentrator box was cumbersome to move: it was heavy, lacked a convenient turning point, and did not have features to help grip the box. Initial testing revealed that it was difficult for one person to make all of the necessary adjustments without receiving additional help. The pressure cooker part of the system also had a few issues. The attachment to the adjustment system was precarious; the cooker would swing if there was wind present. The 16 insulated lid interfered with the pressure valve, which was centrally located on top of the pressure cooker. The pressure cooker was placed inside a modified 5-gallon plastic bucket filled with insulating fiberglass. The fiberglass had to be carefully handled to avoid skin irritation. The plastic burned in the concentrated sunlight and was aesthetically unfavorable because the obvious bucket form made the system look cheap, or worse, unreliable. The bucket was wrapped in tin foil to improve both issues, but the bucket still experienced melting and burning and the appearance was still lacking. multiple adjustment areas concentrator box Figure 1-2: Iteration of Solarclave from 2012. The concentrator adjustment system was particularly unrefined and difficult for a single user to operate. Regarding the effectiveness of the reflective system, the use of flat mirrors compounded with imperfect alignment caused the focal point of the concentrated light to be significantly dispersed. This is an important problem to address, because it not only makes it harder to assess if the system is properly aligned, but also evidences significant losses of input power. The loss of power slows down the heating process, which exacerbates other issues. For example, with a longer process time, the sun travels farther in the sky, and the Solarclave will require adjustment in order to maintain enough power to complete sterilization. The use of flat mirrors was initially considered desirable because the mirrors are cheaper and easier to replace than a single perfectly parabolic mirror, which would be ideal. The mirror assembly was easily made with accurate angles with the use of a laser cutter. However, accurately constructing the same design without the aid of a laser cutter would 17 likely be an expensive manufacturing step due to the need for many parts and accurate angles. Furthermore, the flat mirrors and the additional structures needed to hold each mirror to a specific angle contributed significantly to the overall weight of the system. Thus, finding an alternative reflective structure was considered necessary. 2 New Solarclave Design New components were selected for the Solarclave to address a number of the usability issues associated with the previous design (see Section 1.4 and Section 1.5). Though previous designs had focused on constructing the Solarclave from parts that could be locally sourced in Nicaragua, new buyer input allowed for a shift from this limitation. Due to time constraints related to the timing of the trip to Nicaragua for testing, new parts were ordered as soon as possible. Because the previous system had proved to be reasonably functional, it was deemed prudent to retain the critical dimensions of the main components, such as the size of the pressure cooker and effective area of reflector, while addressing a maximal number of the raised usability concerns. The general layout of the Solarclave was maintained, but both the reflective structure and the insulated pressure cooker were replaced with newly selected components. 2.1 Concentrator Selection The previous reflector design had an approximate effective area of 1 square meter, thus a similar dimension was desired for the new structure to ensure that the Solarclave could be sufficiently powered. The dimension, which corresponds with a standard power rating of 1,000 Watts (see Section 3.1.2), is relatively typical for reflective structures known as "solar cookers," used for outdoor cooking. Such solar concentrators sold in the U.S. are found at prices upwards of $150, which is too high for the Solarclave. However, internationally-sourced concentrators could be found with the desired power rating as well as a satisfactorily low price. Searches on global trading Web sites led to two reflectors, which satisfied the basic cost and power requirements for the Solarclave. In the interest of time, both options were pursued. 18 The first concentrator, referred to as the "24-petal concentrator," was ordered from China (see Figure 2-1). Discussion with the seller indicated that a bulk order in the future would bring the price of the collector to a satisfactory $69 per collector, though the initial purchase of a single collector for testing was more expensive. The collector was advertised as having a power output of 1,500 Watts, concentrated using curved bright anodized aluminum sheets, which have a claimed reflectivity of 95%. The structure clearly included two simple pivots to allow for both the azimuthal and elevation adjustments. One notable drawback of this design is that it has several hundred parts, due to the fastening method of the twenty-four petals, which will make assembly slow. With a diameter of 1.4 meters, the 24-petal concentrator is also relatively large and requires a sizeable reach to access an item placed centrally on its heating rack. Figure 2-1: The two collectors are pictured. Marked at just $25 per collector for bulk orders, the 6-petal collector (Figure 2-1) showed particularly promising pricing through a global trading Web site. Unfortunately, correspondence with the sellers was too delayed to order from them for this work. A presumably identical model was purchased from an American company with faster shipping, but at a significantly higher price, but it is believed that the cheaper international purchase would be possible if this collector was ultimately chosen for the Solarclave. The 6-petal collector also has a claimed power rating of 1,500 Watts. Its parabolic surface is made from six thin, molded steel panels coated with a layer of aluminum reflective film, which has a claimed reflectivity of 87%. Though similar in diameter to the 24-petal 19 collector, the 6-petal collector has a focal point farther from the largest diameter of the reflectors, which allows for easier access to the heating rack. The azimuth adjustment is performed by swiveling the system on its caster wheels, while adjustments to the elevation are made by spinning a circular crank handle. Both products require only the minimum of two separate motions necessary to align the parabola with the sun. Because of their designs, neither collector requires that the pressure cooker position to be adjusted. Critically, each model can realistically be operated by a single user. Usability testing with both products would allow comparison between the two to help decide which concentrator was ultimately more suitable for use in the Solarclave. 2.2 Pressure Cooker Selection The pressure cooker chosen for the Solarclave was a 4-quart stainless steel Fagor Splendid. The pressure cookers used with the previous Solarclave iteration were typically 4- or 6quart pressure cookers, and thus this parameter was maintained for the new pressure cooker choice. A 4-quart cooker could hold approximately eight to ten instrument sterilization packets; assuming that the sterilization process takes under an hour, this is an acceptable process rate. The 4-quart cooker is also a reasonably manageable weight and size. A larger cooker, which would fit more sterilization packets, requires more power to heat, yet blocks more of the incoming sunlight, two factors that work against each other. One of the most important parameters of the cooker is the gauge pressure it is capable of producing. Fortunately, modern pressure cookers often have a standard high pressure setting of 15 psi, which corresponds with the standard sterilization temperature of 121 *C. The Fagor cooker has a low pressure setting of 8 psi and a high pressure setting of the desired 15 psi. Note that the absolute pressure at a gauge pressure of 15 psi is 29.7 psi at sea level, which converts to 205 kPa [4]. A majority of pressure cookers are sold with the pressure release valve located centrally on the lid. The central location causes a large area to be left without insulation to accommodate for the sputter of the cooker. The Fagor cooker features a pressure valve located on the edge of the lid, which facilitates easier insulation coverage of the lid. Centrally located valves are usually weight-based, which means that pressure builds inside 20 the cooker until the pressure is high enough to lift the weight and release steam. Weightbased release can be dangerous. If the pressure cooker is slightly tilted, the weight can become jammed, allowing a much higher pressure to build up, which is why commercial pressure cookers include a back-up over-pressure release, often in the form of a rubber stopper. The Fagor cooker features a spring-based pressure valve, which can operate properly even if the pressure cooker tilted. Another important characteristic of the Fagor cooker is its 3-ply diffuser base. The pot's base features a layer of conductive aluminum that helps distribute the heat applied to the bottom of the cooker, which is extremely important when dealing with concentrated sunlight. If the concentration is done accurately, a relatively small area of the cooker must absorb an enormous amount of heat; there is higher risk for melting or burning if the heat is not quickly distributed. Thus, the 3-ply base is yet another important characteristic that led to selecting the Fagor cooker over other options. It can be purchased for $60 for a single unit, but there is potential to lower the price in bulk order. With the low cost of the concentrator and remaining materials, it was a satisfactory price. 2.3 Thermal Insulation Due to time constraints, the insulation was selected from materials already available in the laboratory. Fiberglass had been used in previous iterations. It is an extremely good insulator and is suitable for high temperature applications. However, dealing with fiberglass requires safety precautions that could be avoided by selecting a more userfriendly material. Furthermore, another problem experienced in previous testing with the fiberglass is that it requires additional structuring to affix it around the pressure cooker. This additional structure posed problems, because it needed to be aesthetically appealing in addition to being safe for use in a high temperature application. The 5-gallon bucket used in the previous design (see Figure 1-2) was susceptible to melting or scorching when accidentally subjected to the concentrated sunlight. To address both issues, extreme temperature ceramic insulating strips were chosen as the insulating material (see Section 4.1.1, Figure 4-1, for more details on the insulation). 21 The material is nominally 80% more conductive than fiberglass. However, the decrease in overall effectiveness of the insulation could be compensated for by adding insulation layers if necessary. The strips can be wrapped around the pressure cooker as a sleeve for the pot. They can also be shaped by cutting in order to insulate the lid without blocking the pressure valve. High temperature tape was suitable for fastening the strips to each other and the pot. A fiberglass cloth tape was used around the outside of the sleeve to cinch the layers around the pot; paired with the white ceramic strips, the overall aesthetic was appropriately "clean" and, based on initial observation, an improvement over the previous iteration. 3 Theoretical Model of Solarclave The Solarclave has two major systems: the solar concentrator system and the insulated pressure cooker. The concentrator receives input power from the sun, and in turn acts as the power source for the solar cooker. The desired outcome is high pressure saturated steam in the pressure cooker. The goal of this model is to predict the temperature inside the Solarclave over time given the updated design choices. 3.1 Power of Parabolic Solar Concentrator The input power from the solar concentrator to the insulated pressure cooker can be predicted based on solar radiation, movement of the sun, and the concentrator system geometry and materials. Due to the inherent, high variability of the actual power due to unpredictable conditions such as cloud coverage, simple estimations were deemed appropriate for further calculations. For this reason, this work does not address the movement of the sun. It is anticipated that the Solarclave will at least initially be used primarily in Nicaragua; estimations are based on this expectation. 3.1.1 Power from Sun The average power density of solar radiation, called solar irradiation, outside the Earth's atmosphere is 1366 W/m 2 . However, due to scattering and absorption, when the sun is at the zenith, solar radiation is reduced by at least 22%, even on a perfectly clear day. The standard accepted value for peak solar irradiance reaching the Earth's surface on a given 22 day is 1 kW/m 2 [2]. The actual peak daily value varies depending on location and time of year and is also greatly affected by changing factors, such as climate characteristics, particularly cloud coverage. Solar irradiance has been measured globally over time and Figure 1-1 shows the average number of sun-hours a given location receives throughout the year. Solar radiation measurements are typically collected using measurement devices that receives and measures both direct and diffuse sunlight. Even on a clear day, diffuse radiation accounts for 15% of the measured radiation. Thus, for an application such as the autoclave, which strictly utilizes direct sunlight, a more appropriate general estimate for . usable solar irradiance is 0.85 kW/m 2 Based on a known latitude coordinate and date of year, one could estimate the expected solar irradiance for a given time of day, but actual values can vary greatly. Extreme cloud coverage can completely eliminate the presence of direct sunlight, even during the day. However, because the Solarclave could simply not operate in such conditions, this model will simplify calculations by using the estimated average input radiation of (0.85 kW/m 2, where the uncertainty of 0.10) 0.10 kW/m 2 is an estimation made by the writer. Latitudinally, Nicaragua is located near the equator, which is favorable for this assumption of relatively high solar irradiance, because the sun is not far from its zenith throughout the majority of daylight hours. Furthermore, the expected peak irradiance assuming clear conditions varies minimally throughout the year [5]. 3.1.2 Input Power to Pressure Cooker An ideal parabolic mirror can be oriented toward the position of the sun such that all of the rays reflect off the mirror toward a single point, the focal point of the parabola (see Figure 3-1). This alignment is achieved by aligning the mirror such that its major axis is aligned directly toward the sun. 23 parabolic mirror focal point Figure 3-1: A parabolic mirror can be oriented such that all of the incoming rays reflect off the mirror toward the same point, which is the focal point of the parabola. When a perfectly parabolic mirror is properly oriented toward the sun, the maximum potential power, Pmax, collected is a product of its projected area, Ap, on a surface normal to the rays of the sun, which are effectively parallel from the perspective of the Earth's surface, and the solar irradiance, q: Pmax = Ap-q. (1) For the parabolic structure used in the Solarclave, the projected area is given by the formula for the area of a circle: (D=7r 2(2) where Dr is the maximum diameter of the parabolic mirror. The actual input power to the pressure cooker system is limited by materials properties, such as the reflectivity of the reflector surface, p, and absorptivity of the incident surface, a, as well as the physical geometry during operation. An area, A, of the mirror is shaded during operation due to the pressure cooker's position between the sun and the mirror. The updated estimate for input power, Pi, is given by: Pi =a-p-(Ap-AJ)-q. (3) The shaded area depends on the dimensions of the insulated cooker and varies as the angle of the sun's rays change with respect to the orientation of the cooker. The projected area of the cylinder depends on the angle of elevation of the sun, Oe, according to the equation: 24 D2 As = - -r- sin0,, ++D-h-cos, (4) 4 where D and h, are the diameter and height of the insulated cooker, respectively, and an angle of elevation of 900 corresponds with the sun rays being directly overhead the cooker. To simplify the model, As is assumed to be constant such that As is maximal, which would be the worst-case scenario (greatest power loss) that is possible during Solarclave operation. Appendix B (Section 8) shows the MATLAB code used to calculate the maximum for the experimental geometry. The shaded area due to the pressure cooker heating stand and the small opening near the center of the collector are considered to contribute negligible losses of power. Based on the geometry of the components selected for the Solarclave as described in Section 2, the expected power input to the insulated pressure cooker is (1.08 Reflectivity was assumed to be 0.87 .22) kW. 0.05 based on the reported product value. The uncertainty of the value is an estimate. Absorptivity was estimated as 0.90 diameter of the concentrator was measured with a measuring tape as (1.47 the diameter and height of the pressure cooker were (28 0.05. The 0.01) m, and 0.01) m and (19 0.01) m, respectively. Uncertainty of the final result is dominated by the uncertainty of the power, reflectivity, and absorptivity. 3.1.3 Limitations of Concentrator Model The model does not account for the variation in input solar power that would result in testing in a different location farther from the equator, a different day of the year, or even a specific time of day. The temperature values estimated by the model are based on an assumption of generally good conditions: clear skies and the sun being near its zenith. These assumptions are not unreasonable, because the conditions would be the suggested conditions for operation of the product. To accurately model the expected conditions in the cooker for a given test, one would need the actual input power, which was not measured. Cloud conditions were noted during testing, but not used to modify estimates used in the model. The results of this work can only suggest that worse conditions, such as a higher latitude location with cloud coverage, would result in lower input power from the sun, which ultimately leads to a slower rise in the temperature of the pressure cooker system. 25 The maximum input power is based on an assumption that the reflector system is perfectly parabolic and aligned toward the sun, which will not be true. However, this work does not attempt to assess the accuracy of the purchased reflector assembly's geometry or accuracy of the alignment of the reflector assembly with the sun, and will thus not account for either condition. 3.2 Thermal Analysis of Pressure Cooker The process of achieving sterilization involves two main phases: heating and holding. After the pressure cooker is prepared for operation, the cooker is given input heat by aligning the concentrator system properly with the sun. When the cooker reaches its maximum pressure setting, a noticeable hiss of steam is steadily released from the pressure valve, signifying when timing of the holding phase can begin. During the holding phase, the pressure cooker maintains the maximum pressure and corresponding sterilization temperature. 3.2.1 Simplified Physical Model of Pressure Cooker For the thermal model of the Solarclave, the pressure cooker was modeled as a hollow cylinder, with inner diameter, Di, height, H, and constant stainless steel thickness wall, t,. The insulation shares the outer diameter of the pot as its inner diameter and has thickness ti. Figure 3-2 shows a cross sectional view of the simplified pressure cooker model. insulation lid (Ac, ti) air cooker wall ( Di, tw) insulation sleeve (D, h, ti) -wat incoming heat cooker base, 3-ply Figure 3-2: The right graphic shows a cross-sectional view of the simplified model of the pressure cooker used in this work, with critical dimensions listed. The "mass" includes the medical instruments and trivet. 26 The cooker base of the Fagor cooker is actually 3-ply, with a layer of aluminum between two layers of stainless steel. The aluminum, which is more than 10 times more conductive than stainless steel, allows the water to be heated evenly even if the incident radiation is not focused evenly along the bottom of the pot. Because the exact thicknesses of the layers are unknown, the 3-ply design of the bottom layer is only considered for the assumption of even heating; in thermal calculations, the thickness of the bottom layer is assumed to be the same as the sides. Because of the relatively slow process rate as well as good conduction inside the cooker due to water vapor, a major assumption this model makes is that the cooker and its contents are a lumped mass, which includes the cooker and the water, air, medical instruments, and trivet inside it. 3.2.2 Temperature over Time Given Power Input: Heating Phase The only input to the system is assumed to be the power from the reflector system as calculated in Section 3.1.2. This power is in the form of heat energy over time and causes the increase temperature of the system. The power is assumed to be completely absorbed by the pressure cooker and its contents. The equation relating change in temperature, AG, to heat energy, Q, is Q= C-A1, (5) where C is effective thermal capacity given by m *(6) = M Ij=1 given the mass, m, and corresponding specific heat, c, of n components. This work considers the contribution of the air within the pressure cooker as negligible. The heat energy, Q, is the product of input power, P, and the period of time of duration Q =P-dt. dt: (7) Combining Equations 5-7 with the parameters of the Solarclave allows calculation of the temperature rise of the solar cooker after time dt has passed. However, such a calculation would not account for the heat loss that is certainly present. 27 To consider the reduction in temperature of the pressure cooker due to heat loss, the system is model as a thermal resistance network shown in Figure 3-3. The resistance network has three main paths between the pressure cooker temperature, Opc, and the ambient temperature, 8 amb. The top path in the figure represents the resistive sum of the conduction through the insulation on top of the pressure cooker lid, Rtop, cond, and the convection between the insulation surface and the ambient environment, Rtop, cony. The middle path represents the resistive sum of the conduction through the insulation on the side of the pressure cooker pot, Rside, cond, and the ambient environment, and the convection between the insulation surface Rside, con. The bottom path represents the convection between the uninsulated bottom of the pressure cooker and the ambient environment. Rtop,conv Rtopcond Rottom, conv Figure 3-3: Thermal resistance network between the pressure cooker at temperature Opc and the ambient environment at temperature Oamb. Rtop, cond is approximated as the thermal resistance through a slab, given by the equation - Rtop,cond = (8) Ac is the circular area of the top of the lid, ki is the conductivity of the insulation, and ti is the thickness of the insulation [6]. The magnitude of conductivity varies slightly with temperature, but the change is negligible for this work. All conductivity values are taken to be constant at the level of conductivity for that material at the ambient temperature. Rtop, cony is convection or radiation resistance given by Rtopconv 28 1 (9) where hoo is the heat transfer coefficient from the insulation to the environment [6]. The heat transfer coefficient roughly depends on the temperature differences and the orientation of surface, according to Equation 10 [5]. hoo = K(AO).2 5 (10) Where K is 2.5 for a flat surface, and 1.77 for a vertical surface, but can also vary with other factors such as wind. In air, typical value is 10 , but might be closer to 20 w in wind. Because wind is not uncommon in the region of testing in Nicaragua, a constant value of 15 was chosen for the model. For the resistance values of the middle branch, Rside, cond is approximated using the equation for thermal resistance through a cylinder, which is given by - D. - =2 ( 1n R side,cond where D is the outer diameter of the cooker wall, or equivalently the inner diameter of the insulation sleeve, and Di is the inner diameter of the cooker wall [6]. The convection term, Rtop, cony, can be calculated using Equation 9, except that the circular area, Ac should be replaced by the surface area of the side of the pot, which is the product of its circumference, D - ir, and height, h. Lastly, Rside, cond is also a convection resistance also given by Equation 9, because the top and bottom of the cooker are assumed to have equivalent areas. The equivalent thermal resistance, Req = Req, for the system is given by 12 + + Rtopcond+Rtopconv Rside,cond+Rside,conv Rbottom,conv This equivalent resistance is useful in the lumped parameter model solution for the heat diffusion equation for unsteady heat transfer, given as follows: epc = 8 amb t(-dt\(3 [6]. + (6 pcj - Oamb)exp (13) Opcj is the temperature of the pressure cooker at time dt = 0. Equation 13 predicts the temperature of the pressure cooker over time if no energy was added to the system. 29 3.23 Temperature over Time Given Power Input: Holding Phase If the input power is enough to achieve the sterilization pressure and corresponding temperature, the internal temperature of the pressure cooker reaches a steady state, because the temperature of the water inside the pressure cooker cannot increase unless all of the water has become steam. The energy contributed to the pressure cooker converts the water to steam, which is released by the pressure valve. Thus, a constant temperature is maintained as long as there is still water in the pressure cooker and the heat intake from the concentrator continues to exceed the heat loss. Heat loss might exceed heat intake if the concentrator was shaded, which would reduce the power output. For the Fagor cookers high pressure setting of 15 psi, the corresponding holding time is 15 minutes (see Section 1.3). 3.2.4 Iterative Implementation ofModel MATLAB was used to calculate the temperature by combining the aforementioned equations and conditions. The heating phase was modeled by calculating the infinitesimal increase in temperature due to the input power and the infinitesimal decrease in temperature due to heat loss. In actuality, the two components happen simultaneously, but they happen sequentially in the MATLAB code (see Section 10, Appendix C). Once the temperature of the cooker reaches the temperature corresponding to the pressure setting of the pressure cooker, the holding phase is initiated, which keeps temperature constant, based on the assumption that the input is unchanged and that the water in the pressure cooker does not run out. The dotted blue line in Figure 3-4 shows the predicted temperature of the pressure cooker over time based on the newly selected components (Section 2). The predicted temperature during the heating phase of the Solarclave appears linear over time, but actually increasingly strays below the linear case, shown as the solid red line in the plot. The linear case would represent the pressure cooker's temperature over time if it was perfectly insulated. The graph predicts that heat loss of the Solarclave does slow down the rate of temperature rise, but not significantly. 30 holding heating - - - -- - - 120 - - - - - - - - - - 140 O100 80E / / 15 60 40 - -- Theoretical w/ loss 20 - 00 0 5 Theoretical no loss or cut-off 10 Time(mins) 15 20 Figure 3-4: Plot shows the theoretical temperature of the cooker over time based on expected conditions during testing (black dash lined). The model, which includes heat loss, appears linear, but is not. This can be seen by comparing it to the exactly linear case of a perfectly insulated pressure cooker (red solid line). Because the peak temperature of the model is determined by the pressure setting of the physical pressure cooker, the validity of the model is more appropriately assessed by comparing the rate of heating predicted by the model to that of the actual test. The data can be compared qualitatively, but also quantitatively by comparing the total time it takes to complete the heating phase, theat, in each case. 3.2.5 Limitations of Pressure Cooker Model The model makes a number of assumptions to simplify calculations for estimating the temperature over time inside the pressure cooker. These assumptions include implementing the lumped mass model, assuming a constant heat transfer coefficient, modeling the holding phase as a constant temperature, assuming negligible water loss, and approximating geometries. Some of the assumptions make the solution less accurate, while others limit the ability of the model to respond to measurable inputs and provide a comprehensive temperature profile of the Solarclave. The significant assumption of a lumped mass predicts that there is no temperature gradient across the pressure cooker, which is not true. While the assumption may allow for reasonably accurate predictions of temperature inside the cooker over time, it does not 31 distinguish between different positions along the pressure cooker that would in reality have different temperatures. The model estimates the temperature inside the pressure cooker, while the temperature was measured outside of the cooker during testing. The model assumes a constant heat transfer coefficient, but the coefficient would be changing over time. Wind throughout testing changed significantly, but it was beyond the scope of this work to attempt to accurately account for change in the heat transfer coefficient over time. During the holding phase, the model predicts a constant temperature. In reality, the temperature would likely oscillate slightly, because the opening of the pressure valve would allow a sudden outburst of steam and corresponding drop of pressure, lowering the boiling temperature inside the cooker. However, the actual physics of the pressure valve are not assessed in this model. The model assumes a negligible loss of water over time. However, through working with the cooker, it was clear that for extended periods of cooking, water loss could be significant. If the pressure cooker is taking in heat energy that is extremely excessive for maintaining its high pressure setting, the energy continues to go toward converting the water to steam, which would rapidly exit the cooker. The simplified physical model of the system models the pressure cooker as a single, solid cylinder. It is generally cylindrical, but it comprised of two parts and has rounded edges and a somewhat rounded lid. This would change the resistive estimates. The insulation around the actual cooker was certainly not a perfect open-ended cylinder as modeled. There were gaps such that the bottom of the cooker was not the only area exposed directly to the ambient atmosphere. Accounting for such gaps would allow for a more accurate resistive estimation. 4 Temperature Measurement The Solarclave is ideally tested in an environment most similar to its end-case use, thus testing was performed when the opportunity arose to do so during a 3-day trip to Nicaragua. The primary purpose of testing was to characterize the temperature profile of a 32 typical use case of the current Solarclave. A secondary goal was to assess the usability of the Solarclave. Two models of solar concentrators and two different pressure cookers were tested. Temperature data was collected for eight total trials with the 6-petal concentrator and two trials with the 24-petal concentrator. Trials were performed at different times during daylight hours. A trial consisted of preparing the pressure cooker and placing it on the solar concentrator, and then aiming the concentrator and allowing it to heat the cooker until desired conditions of time and temperature were achieved. Each trial included steam sterilization integrators inside the pressure cooker to provide a binary assessment of achievement of sterilization. A steam sterilization integrator is a chemically based indicator that has a dark colored bar that migrates toward a "PASS" zone as sterilization conditions are met. The physical set-up and experimental procedure are further detailed in Section 4.1 and Section 4.2, respectively. 4.1 Assembly of Solarciave Components A given test used one solar concentrator and one insulated pressure cooker. The two concentrators described in Section 2.1 were both fully assembled according to their instruction manuals. The original intention was to test with only a Fagor brand pressure cooker purchased in Cambridge. However, after a crack developed in the plastic handle of the Fagor cooker, which initially had unknown consequences on the effectiveness of the cooker, a Tramontina brand pressure cooker was purchased from a local hardware store. Due to material constraints and a need to make a more visually appealing product for the user, there were significant variations in the insulation of each cooker. The temperature data-logger was an Extech SD200 with logging for three Type-K temperature channels. The logger was set to record temperature every 5 seconds. 4.1.1 Fagor Cooker Insulation Assembly The bottom of the Fagor cooker was spray-painted black using Rust-Oleum High Heat Enamel Spray in Bar-B-Q Black. The cooker was insulated with four layers of ceramic fiber (see Figure 4-1). 33 Figure 4-1: Picture of Fagor cooker shows layers of insulation and attachment of Temperature Probe A. Temperature Probe B was similarly attached on the opposite side of the cooker. Figure 4-2: Picture of Fagor cooker shows position of Temperature Probe C and initial layer of ceramic fiber on cooker lid. The ceramic fiber was cut and bent to wrap around the shape of the lid and pot. Separate pieces and layers were fastened to each other using high temperature tape. The insulation was not tightly fixed to the pot. The first two trials included three K-type temperature probes. One was taped centrally on top of the lid and the other two were taped on opposite sides of the side of the pot, as shown in Figure 4-2 and Figure 4-1, respectively. Figure 4-3 shows the cooker with complete insulation. The darker material was a ceramic fiber braid used for its adhesive backing and aesthetic properties. 34 Figure 4-3: Fagor cooker shown with full insulation. 4.1.2 Tramontina Cooker Insulation Assembly Out of prudence for the limited time window of testing, a second cooker was purchased from a local hardware store after the Fagor cooker developed a crack in its handle during the second trial, which was also the last trial of the first day of testing. The cause of the crack and the consequences on the sterilization system were unknown. The purchased cooker was an aluminum 4.5L Tramontina cooker, model 20575020. It was also insulated with the ceramic fiber, but there was not enough material to wrap the cooker in an identical manner to the first. The sides of the pot were wrapped in a 3-layer, 3-inch sleeve of the ceramic fiber. The lid included a working pressure valve in the center, which did not lend well to insulating it. However, preliminary results from the first day of testing indicated that the cooker would still be able to reach the temperature corresponding to its maximum pressure setting, thus the lid was left without insulation. One of the drawbacks noted about using the ceramic fiber was that it browned in the areas where sunlight was focused on it, which was aesthetically not appealing. Colorful glass tiles were added around the Tramontina cooker, to create a more finished-looking surface. Testing began with the Tramontina cooker on the second day. Only one temperature probe, Probe B, was attached to the side of the cooker, because the Probe A was used to simultaneously collect data from the Fagor cooker, and Probe C had broken. On the third day of testing, Temperature Probe A was attached to the top of the cooker to observe the variation on the lid due to lack of insulation. 35 Figure 4-4: Tramontina cooker shown with insulating sleeve. The photo is from the third day of testing, which used two temperature probes on the Tramontina cooker. 4.1.3 Sterilization Packet Preparation Packets of medical equipment were added inside the cooker for each trial. A binary test for achievement of sterilization was performed using Vapor Line Steam Sterilization Integrators. As per standard practice of using chemical indicators for testing sufficient sterilization in an autoclave, an indicator was included inside each packet of medical equipment as well as taped to the outside of each packet [4]. Figure 4-5: An example of the contents in a sterilization packet. Two medical instruments and one Vapor Line integrator were inside, and an additional integrator was taped to the outside. The packets were constructed of white paper and masking tape. Approximately three packets were used in each test, based on a limited number of medical instruments. 36 4.2 Experimental Procedure Testing was performed during the daylight hours of three consecutive days in Nicaragua. The testing for the first two days was performed on the campus of the Centro de Investigaciones y Estudios de la Salud (CIES) in Managua, Nicaragua. Testing on the third day was performed on the campus of UNAN FAREM Matagalpa, Matagalpa, Nicaragua. Weather conditions were recorded from data provided by online METAR reports. Eleven trials were performed. A trial consisted of an attempt to achieve sterilization of medical instruments with a solar concentrator and pressure cooker combination. First, the pressure cooker was prepared. The gasket was washed with water and mild soap. Then, (350 50) mL were added to the cooker pot. A steam tray was placed inside the cooker, and the prepared sterilization packets were arbitrarily placed on top of it. The pressure cooker was then closed and placed on the concentrator stand, which was not yet facing the sun. The thermocouple wires were attached to the data collector, taped underneath the concentrator. Then, the concentrator was turned toward the sun. Azimuth was adjusted first; altitude was adjusted second. Adjustment was stopped once a concentration of light could be seen on the center of the bottom of the pressure cooker, allowing the cooker to begin heating up. Data collection was started, and time of day was noted. During testing, notes were taken regarding the usability of the system, and any problems that arose during the test that may cause inconsistent results, whether due to outside conditions or operator error. 37 Figure 4-6: Solarclave shown with light concentrated on bottom of cooker. Once the pressure cooker started steaming, a stopwatch was started. If the system was able to continuously steam for the next 20 minutes, the holding phase was stopped by turning the concentrator away from the sun. Data collection was also stopped. If there was a break in the steam, it was up to operator discretion to continue, depending on the trial conditions. If there was a sudden rise in temperature above the steady-state, as observed from the data collector, the heating was stopped, because this indicated a lack of water inside the cooker. After heating was stopped, the cooker was removed from the collector. After releasing excess pressure, the cooker was opened access the steam integrators. A picture was taken to document the results of the integrator. Table 1 shows a number of key parameters for the eleven trials. The original intention was to begin a trial every hour, on the hour, collecting data only from the 6-petal concentrator and Fagor cooker combination. However, due to various complications, further described in Section 5, testing was simply performed as soon as a system was ready to go on a given day. The timing of the testing is listed in the table. The Tramontina cooker was used for several tests on Day 2, because it seemed practical to also collect data using another cooker given that the Fagor cooker had a crack. Data was collected using the 24-petal concentrator only when it was possible to simultaneously run a trial using the 6-petal concentrator. Day 3 testing used only the Tramontina cooker, because the Solarclave was being shown at a 38 school in Matagalpa, and the insulated Tramontina cooker was visibly in better condition. Not all trials involved multiple thermocouples, thus the table shows which thermocouple probe location collected data for each set. Refer to Section 4.1.1 and Section 4.1.2 for the thermocouple probe placement on the Fagor cooker and Tramontina cooker, respectively. Table 1: Trials are listed with the time of the trial, combination of cooker and concentrator, as well as which probe positions were used. 5 Trial Day 1.1 Cooker 1 Time ( 1 min) 12:00 PM Fagor 6-petal 1.2 1 1:55 PM Fagor 2.1 2 9:43 AM 2.2 2 2.3 Concentrator Probe A Probe B Probe C yes yes yes 6-petal yes yes yes Fagor 6-petal yes no yes 11:30 AM Fagor 6-petal yes no yes 2 11:48 AM Tramontina 24-petal no no no 2.4a 2 1:30 PM Fagor 6-petal no no yes 2.4b 2 1:30 PM Tramontina 24-petal no yes no 2.5a 2 2:23 PM Fagor 24-petal no no yes 2.5b 2 2:23 PM Tramontina 6-petal no yes no 3.1 3 12:00 PM Tramontina 6-petal yes yes no 3.2 3 1:04 PM Tramontina 6-petal yes yes no Results & Discussion The performance of the Solarclave, measured as temperature outside the cooker over time, was tested. The ultimate goal was sufficient sterilization of medical instruments. Depending of test conditions, several of the results can be compared to the theoretical thermal model (Section 3) to assess the validity of the model for future predictions. 39 5.1 Comparison of Temperature Results with Model The thermal model was developed for the Fagor cooker and 6-petal concentrator combination. Thus, only trials 1.1, 1.2, 2.2, and 2.4a are compared to the model. Each is compared separately, because of significant changes in the conditions for each trial caused significant changes in the thermal model. Though data from several probes was collected, the data from all three probes is only shown for Trial 1.1, because the additional data was not particularly revealing beyond conclusions that can be drawn from the first trial and the values are fairly redundant. The probe chosen for comparison is whichever achieved the generally higher temperatures, because it is assumed to be closer to the actual internal temperature of the pressure cooker, which is the primary concern. 5.1.1 Trial 1.1 Trial 1.1 was performed starting at noon on December 16 (see Section 7, Appendix D for corresponding weather data). The starting temperature of all materials was assumed to be the outside temperature of (29 1) *C. However, data collection did not start at the beginning of the test, and thus the initial temperature used for the code was the approximate starting point of the data, 60 *C. The pressure cooker was mistakenly set on its lower pressure setting, which according to the manual corresponds with an internal pressure of 8 psi, or a sterilization temperature of 112.6 *C. The model predicts a heating time, theat, mode, of (120 40) s. Figure 5-1 shows the rise in temperature over time of the three sensors in comparison with the temperature predicted by the model. The results are somewhat sporadic during the heating phase, but the three sensors achieve fairly similar values as the water approaches boiling. Data from Probe B was used for calculation. The heating time, theat, actual, was (190 15) s, which does not fall within the uncertainty of the model. The model appears to overestimate the heating rate for this trial. The actual heating time was 58% longer than the predicted time. The holding temperature was (109.6 .1) *C with a 95% confidence interval. It is possible that the pressure cooker is pressurized to a slightly lower pressure than 8 psi, which would correspond with a slightly lower holding temperature. However, if the pressure cooker is assumed to accurately reach a pressure of 8 psi, then this data suggests that the 40 temperature on the outside of the cooker may actually be 3 *C lower than the pressure in the cooker, which makes sense but is not accounted for in the model. 120 110 LA 100 Ii I 90 Probe C 80 Probe B - 70 E Probe A 60 Model ---- 50 40 0 2 4 6 8 10 Time (mins) Figure 5-1: Temperature results from Trial 1.1, plotted with the theoretical prediction. Sterilization was not achieved with the conditions in this trial. None of the steam integrators passed, which makes sense because of the lower pressure setting. In order to pass, the black bar on the indicator must migrate beyond the red "fail" zone and into the green "pass" zone. An indicator that undergoes no sterilization conditions would have a white indicator area with no black bar. The chemical indicators from this trial did show that some progress had been made toward achieving sterilization, evidenced by the presence of a short black bar on each indicator. Figure 5-2 shows the three sterilization packets removed from the cooker after the trial. The steam integrators inside the packet showed similar progress to those pictured outside of the packets. 41 Figure 5-2: The three sterilization packets of Trial 1.1 are pictured. None of the steam integrators passed, though some progress was made toward achieving sterilizing. 5.1.2 Trial 1.2 Trial 1.2 was performed starting at 9:43 AM on December 17 (see Section 7, Appendix A for corresponding weather data). The cooker did not pressurize. It was at first assumed that a crack that was noticed during Trial 1.1 may have compromised the ability of the cooker to develop pressure. The heating process was stopped after 43 minutes, but the data collection was left on to allow comparison of the heat loss over time with that predicted by the model, as shown in Figure 5-3. The data for the theoretical model was calculated by inputting the starting temperature of 100 'C, and then setting the input power to zero. The model shows excellent agreement with the experimental data, which provides validation for the heat loss calculations. The cause behind lack of pressure build-up was initially unknown. However, a similar test issue during Trial 2.1 revealed that the likely problem was that the pressure cooker was never in its fully locked position. 42 120 100 ) 80 U 60 (U E- 40 *Probe Data 20 - - Theoretical Model 0 0 20 40 60 Time (mins) Figure 5-3: Temperature data from Trial 1.2 is compared to the theoretical model. Trial 1.2 reached a standard boil and was allowed to cool down while the Solarclave was turned away from the sun. As expected, sterilization was not achieved with the conditions from this trial. The temperature, pressure, and timing of the trial were such that even less achievement of sterilization was expected compared to Trial 1.1. The steam integrators showed no evidence of progress toward sterilization. 5.1.3 Trial 2.2 Trial 2.2 was started at 11:30 AM on December 17 (see Section 7, Appendix A for corresponding weather data). The cooker was locked and correctly set to the higher pressure setting of 15 psi. At 11:38 AM, the temperature reading from Probe A reached a steady-state value of (116.5 0.2) *C, which shows moderate agreement with the value corresponding to the pressure, 121 *C. Figure 5-4 shows the rise in temperature over time of the two sensors in comparison with the temperatures predicted by the model. The model predicts a heating time, theat, model, of (180 40) s. The actual heating time was again longer, this time by approximately 100%. The heating process and data collection was stopped after a total of 45 minutes had passed. It was only noted after the trial ended that the pressure cooker had run out of water. There may not have been enough new water added to the system after the preceding trial. 43 160 140 L 120 - - 100 80 u E $ 60 M 40 -Probe 20 - -- Data Theoretical Model 0 0 10 20 30 40 50 Time (mins) Figure 5-4: The data from Trial 2.2 compared with the theoretical model is shown. There may not have been enough water added to the cooker, which caused the temperature to climb after the water ran out. The temperature consistently registered a temperature above 113 'C for 30 minutes. With these conditions, considering that the temperature inside the pressure cooker is several degrees higher that the temperature on the outside, it was expected that all steam integrators would pass and that was the case. However, it is important to note that this trial also included much higher temperature, hitting a maximum of 140.1 *C before the trial was stopped. Through the duration of the abnormally high temperature conditions was brief, it may have affected the results. It can be seen in Figure 5-5 that one of the steam integrators has evidence of burning from the dry heat. Based on the other two integrators, the burn does not appear to have modified the functionality of the steam integrator; the progress of the chemical indicator is not significantly different among the three integrators. 44 YAPONaj. VAPOR L c, Figure 5-5: The three steam integrators from Trial 2.2 are pictured. One of the integrators (center in image) showed evidence of burning, but all three passed. 5.1.4 Trial 2.4a Trial 2.4a was started at 1:30 PM on December 17 (see Section 7, Appendix A for corresponding weather data). The cooker was locked and correctly set to the higher pressure setting of 15 psi. Only Temperature Probe C, located on the lid of the insulated Fagor cooker, collected data, because data was simultaneously being collected on the other cooker and concentrator combination. Figure 5-6 shows the results compared with those predicted by the model, given the initial temperature of the system. The holding process was stopped after 20 minutes. Once again, the model overestimates the rate of heating by a significant factor. The holding temperature from the trial was (115.9 below the expected temperature, similar to Trial 1.1 and Trial 2.2. 45 0.1) 'C, which is 140 2 -- - - - - - -- - - - - - - - 120120 100 80 2 60 40 Probe Data 20 Theoretical Model 0 0 10 20 30 Time (mins) Figure 5-6: The data for Trial 2.4a is shown in comparison with the theoretical model prediction. The model clearly overestimates the rate of heating. The temperature had begun to drop in the final minutes of the trial. This was explained by an increasing amount of overhead clouds. Figure 5-7 shows an example of the overhead clouds experienced during testing. According to real-time METAR data, there were "scattered clouds" at 2133 m, and "few" at 670 m. The presence of scattered high clouds was fairly constant throughout the test and did not seem to cause any variability in the test. However, when one of the lower-lying cumulus clouds passed in front of the sun, causing a significant reduction of the input power for several minutes, the temperature readings began to slowly decrease. The change in input power is not accounted for in the model, which explains the overestimate of the model when the actual steady-state temperature dropped. Despite the drop in temperature at the end, the two steam integrators in the trial passed. The fact that they passed despite only having a sterilization time of 20 minutes suggests that the internal pressure was actually at least 118 *C, if not the expected 121 'C. 46 Figure 5-7: Example of clouds overhead during testing. The scattered higher clouds did not impact testing progress, but the lower clouds caused drops in temperature readings. 5.2 Other Temperature Results from Trials The following sections describe trials that were performed, but not compared to a theoretical model. The theoretical model accounts for the 6-petal concentrator and Fagor cooker combination. Trial 2.1 was performed with the 6-petal concentrator and Fagor cooker, but is not compared to the theoretical model due to critical testing issue that affected the results. Trials 2.3, 2.4b, 2.5b, 3.1, and 3.2 were performed with the Tramontina cooker, which was purchased in Nicaragua after Day 1 testing revealed a crack in the Fagor cooker. Trials 2.3, 2.4b, and 2.5a were performed using the 24-petal collector. 5.2.1 Trial 2.1 Trial 2.1 was performed starting at 9:43 AM on December 17 (see Section 7, Appendix A for corresponding weather data) with the Fagor cooker and 6-petal concentrator. The cooker reached a temperature plateau of (98.2 0.1) *C, because the higher pressure setting was not engaged. The cooker was not in its locked position, thus did not build pressure. It was at first assumed that a crack that was noticed during Trial 1.1 may have compromised the ability of the cooker to develop pressure. However, after it was noticed that the pressure cooker was not in its locked position, the cooker was closed and the testing was continued. The probe temperature readings started to rise, but this time continued to rise much higher than expected until a cloud significantly blocked the incoming sun. The readings dropped, as shown in Figure 5-8. However, once the clouds moved, the readings once again climbed quickly, and after 82 minutes the heating process was ended and data collection was 47 turned off. After opening the cooker, it was realized that all of the water had evaporated, which explained the uncharacteristic thermal readings from the cooker. Although this trial included the desirable Fagor cooker and 6-petal concentrator combination, the results are not compared to the model, because of the lack of water complication. Running out of water is highly undesirable and should not happen in a typical use case, and thus was not modeled. 140 120 100 80 0 S60 E 40 20 0 0 40 20 60 80 Time (minutes) Figure 5-8: Temperature data from Trial 2.1 is shown. 5.2.2 Trial 2.3 Trial 2.3 involved no temperature probes, because it was started while Trial 2.2 was still in progress. This trial used the Tramontina cooker on the 24-petal concentrator. It was the first time that the 24-petal concentrator was being used; the trial was performed to ensure that the system could in fact reach boiling conditions that would be worthy of data collection for future trials. The test was started at 11:48 AM. The cooker began to steam mildly at 12:04 PM and more rapidly at 12:13 PM. At 12:33PM, twenty minutes after the steam indicated that the cooker was pressurized at its maximum level, the heating process was stopped. All three steam integrators in the Tramontina cooker passed, indicating that sterilization conditions could be sufficiently achieved with the cooker and collector combination. 48 However, it did take nearly 25 minutes for the cooker to reach its maximum pressure conditions. At the time of the test, the longer rise time compared to the Fagor cooker and 6petal concentrator combination could not be specifically attributed to either the cooker or the concentrator, because both variables were changed. 5.2.3 Trial 2.4b Trial 2.4b happened concurrently with Trial 2.4a and used the Tramontina cooker and 24petal concentrator combination. Figure 5-9 shows the temperature over time of Probe B, which was located on the side of the cooker, under the insulation. The figure also shows the temperature readings from the probe attached to the Fagor cooker (Section 5.1.4) to allow qualitative comparison of the two systems. The Fagor cooker on the 6-petal concentrator clearly heats up faster than the Tramontina cooker on the 24-petal concentrator. The Tramontina cooker does eventually reach a plateau that is similar to that of the Fagor cooker, but a few degrees lower. Checking the owner's manual of the Tramontina cooker later revealed that its maximum pressure setting is 12 psi, which corresponds with a sterilization temperature of 117.6 *C and sterilization time of 24 minutes. This indicates that the single pressure setting of the Tramontina cooker is similar to the high pressure level setting of the Fagor cooker. The single steam integrator in this trial passed. 140 120 100 80 60 -6-petal and Fagor 40 24-petal and Tramontina 20 0 0 20 10 30 Time (mins) Figure 5-9: The plot of Trial 2.4a (6-petal and Fagor) and 2.4a (24-petal and Tramontina) are shown. The heating time of the former combination is significantly faster than the latter. 49 5.2.4 Trial 2.5a and Trial 2.5b Trial 2.5a and Trial 2.5b were run concurrently. Trial 2.4a used a Fagor cooker with the 24petal concentrator, while 2.5a used the Tramontina cooker with the 6-petal concentrator. After the temperature readings in Trial 2.5a stopped rising at a temperature of approximately 97*C, it was noted that the handle of the Tramontina cooker was slightly open. The handle was closed 14 minutes into the test, and Figure 5-10 shows that the temperature rose to the usual equilibrium around 116'C. At the same time, the readings of Trial 2.4a were rising at a much slower rate. The temperature plateaued at 98*C, once again indicating a problem with the pressurization of the cooker. Twenty-two minutes into the test, and again twenty-four minutes into the test, the sensor from Trial 2.5a became unattached to the cooker, causing jumps in the data. Approximately 30 minutes into the test, there was too made shade to continue testing and the heating process was stopped for both trials. None of the steam integrators passed, as would be expected from the conditions. 140 120 100 80 60 40 6-petal andTramontina 20 24-petal and Fagor - 0 0 10 20 30 Time (mins) Figure 5-10: Temperature data from Trials 2.5a (6-petal and Tramontina) and 2.5b (24-petal and Fagor) are shown. Based on Trials 2.4a, 2.4b, 2.5a, and 2.5b, the 6-petal collector is likely a significantly better power source than the 24-petal collector. In both cases, the 6-petal cooker appeared to heat up at a rate nearly 3 times faster than the 24-petal cooker. 50 5.2.5 Trial 3.1 Trial 3.1 was started at 12:00PM on Day 3. Testing was performed in Matagalpa. The outside temperature, To, was (22 1) 'C (see Section 7, Appendix A for more weather data). Two temperature probes were used. As described in Section 4.1.2, Probe A and B were located on the Tramontina cooker on top of the uninsulated lid and under the insulation on the side, respectively. Figure 5-11 shows the temperature readings for the trial, which was run for 30 minutes. Probe B shows relatively smooth readings while Probe A has much higher variability. Due to being exposed on the surface of the lid, the fluctuations of the Probe A readings were likely caused by the surrounding outside conditions, and are a less accurate representation of internal conditions. It is unclear is this was due to the lack of the insulation on the lid, or simply the exposed positioning of the probe. and not internal temperature variations as Probe B shows comparatively. 140 120 100 80 60 E Uninsulated (Probe A) 40 - Insulated (Probe B) 20 0 20 10 30 Time (mins) Figure 5-11: Temperature data from both probes of Trial 1 on Day 3 are shown. The uninsulated probe had much more variability in its readings. Of the two steam integrators placed in the cooker, one of the chemical strips had reached the end of the pass zone, which showed thorough sterilization, while the other had only just reached the pass zone, considered as a failure to sterilize. This trial was run for 30 minutes to experiment with the idea of leaving the system "on" (equivalent to allowing the heating process to continue) for a certain amount of time. Thirty minutes was chosen based on the rise times experienced in previous trials. However, the rise time of Trial 3.1 was slower 51 than the rise time from previous trials with the Fagor cooker and 6-petal concentrator. The cooker was only at high pressure conditions for 20 minutes, which was not enough time to have expected the steam integrators to pass, because of the Tramontina cooker's need for a longer holding time at a slightly lower pressure. It is strongly believed that both steam integrators would have passed if the heating process was continued for 5 additional minutes. It should have been considered that the lack of insulation on top of the Tramontina cooker would cause a slower temperature rise rate. Similarly, the lower outside temperature experienced on the third day of test would also be a source of slowed heating. 5.2.6 Trial 3.2 The second trial on Day 3 was started at 1:04 PM. Conditions were initially clear, but large groups of clouds began to block the sun for several minutes for several minutes at a time. Given the temperature readings of the trial, it was not expect that the integrators would indicate that sterilization was achieved. The requirements for sterilization, as described in Section 1.3, calls for continuous high temperature steam conditions for the duration corresponding to the given steam conditions. The conditions inside the cooker clearly dropped below that value for a significant amount of time several times during the trial. Because of the multiple drops in temperature, this trial was run for an extended period. It was hoped that the clouds would clear and allow for twenty continuous minutes of sterilization conditions. However, the cooker ran out of water after 64 minutes and the temperature inside the cooker began to climb rapidly. Because of the inconsistent steam integrator results from the last trial, a 2x4 array of integrators had been used in this trial to determine if position of the integrator correlated with a specific extent of sterilization. All of the steam integrators passed, but with varying degrees of certainty. Figure 5-12 shows the arrangement of integrators, which all reached the pass zone. There is no clear indicator of position corresponding with the extent that the chemical indicator penetrated the pass zone. It is not known if this variability is due to a property of the integrator, or of the actual trial conditions, especially because this trial ran out of water, which would cause much more inconsistent heating. 52 Figure 5-12: A 2x4 array of integrators was placed in the cooker for Trial 3.2. All passed, but the results from the chemical indicator cause varying degrees of certainty in the results. 5.3 Reliability of Assessing Sterilization It is clear that the new Solarclave is fully capable of achieving sterilization conditions. Because the data logger showed readily accessible real-time temperature readings, it was possible to note when the cooker had reached its steady-state maximum temperature condition, and then allow the cooker to continue sterilizing for another 20 minutes. However, future operators of the Solarclave will not have the data logger, thus this is not a method they can use. Fortunately, the high temperature conditions corresponded with visible and audible signs from both the Fagor and Tramontina cooker. For the Fagor cooker, a steady flow of steam was visible from its steam release valve once the high temperature condition was achieved. It was accompanied by a steady hissing noise. For the Tramontina cooker, some steam was visible as soon as the cooker achieved boiling conditions. However, the highest temperature condition corresponded with a significantly more intense release of steam. The release valve (see Figure 4-4) would often begin to oscillate, causing audible and visible spurts of steam release, rather than a continuous output. Careful observance of either cooker could allow an operator to determine when the cooker has achieved its maximum temperature condition. Similarly, it is also possible to observe or hear when the pressure cooker drops beneath those conditions. Furthermore, the steam integrators generally showed results that agreed with the observed conditions. 53 In Trials 2.2, 2.4a, 2.4b, and 2.3, the cooker being tested reached its maximum pressure condition and approximately maintained that condition for at least 20 minutes before the heating process was stopped. These conditions were expected to sufficiently achieve sterilization, and in all of those trials, the steam integrators passed. Though the sample size is small, the results suggest that with uninterrupted sterilization conditions, the Solarclave can reliably achieve sterilization conditions. Conversely, in Trials 2.1 2.5a, and 2.5b, high temperature conditions had not been achieved to a significant degree or duration, and the steam integrators correctly showed that the sterilization had failed. Thus, in seven out of the nine trials, the steam integrators provided results that were expected based on the collected data. The exceptions were Trial 3.1 and Trial 3.2. Both cases showed at least one "false positive" for successful sterilization. In Trial 3.1, it is believed that the rise in temperature at the end due to lack of water may have caused uneven heating that caused one of the integrator to pass. In Trial 3.2, all integrators passed, despite the fact that the sterilization conditions were only achieved intermittently. It is believed that the steam integrators are not sensitive to the desired condition of 20 continuous minutes of high temperature steam, and instead show sufficient sterilization provided that the total amount of time at sterilization conditions sums to the proper total; this is not technically acceptable. Potential design changes to prevent false positives are included in Section 5.5.1. 5.4 Usability: Assessment of New Components The two solar concentrators had a number of positive and negative features that were discernible from seeing pictures and specifications of each product online. However, actually using the products quickly gave a much better understanding of their benefits and drawbacks. Table 2 is a Pugh chart comparing the positive characteristics desired of the collector; it uses the previous Solarclave as the baseline option. 54 Table 2: This Pugh chart compares the previous mirror assembly to the two collectors tested in this work. A "+" indicated that the product does well on that characteristic compared to the previous Solarclave iteration as a baseline, while a "-" indicated the opposite and blank is neutral. 6-petal collector Previous Iteration, 24-petal collector flat mirror assembly + Powerful Operable by single person + Easy initial location of sun + + Easy adjustment to track sun + + Locally repairable + Durable Easy assembly + Minimal active time Low-cost In long-term + + Aesthetically pleasing In general, both models are superior to the previous Solarclave iteration. However, the 6petal collector out-performed the 24-petal collector in more categories and would be the recommended collector for future models. The fact that it was clearly the most powerful model is significant for a number of reasons. Naturally, it ensures that the pressure cooker can easily achieve sterilization conditions. However, because of the rapidness of the heating, it has the gratuitous additional characteristic that it can perform sterilization in a short enough amount of time that adjustment of the concentrator during the sterilization cycle is not necessary to successfully complete the process; this characteristic was unique to the 6-petal cooker, because of its significantly faster heating time. Regarding the pressure cooker selection, the Fagor cooker met all functional expectations despite having a crack in it. The Tramontina cooker could also be used for sterilization, but its lower high pressure setting requires more than five extra minutes to complete sterilization, which is less desirable. It is recommended that the pressure cooker used in 55 the Solarclave has a gauge pressure setting equivalent to 15 psi, which corresponds with the standard sterilization time of 15 minutes. 5.5 Suggestions for Future Work In general, the current Solarclave showed improved usability over previous iterations. Notably, the improved power collected from the solar concentrator allowed for a single, initial adjustment of the concentrator orientation, rather than multiple adjustments over time. While the mechanical system achieved needs not addressed by previous iterations, there are still a number of necessary improvements before dissemination can occur, (Section 5.5.1). Improvements to theoretical model could help inform optimal operation of system (Section 5.5.2). Lastly, a number of aspects of the testing could be improved (Section 5.5.3). 5.5.1 Physical System Design Improvements and Considerations As suggested by testing issues and the usability results (Section 5.4), a number of design changes could improve the product. The 6-petal solar concentrator is unquestionably a sufficient power source for the size of pressure cooker tested in this work. However, it could be desirable to increase the amount of medical instruments that can be sterilized in a given use by increasing the size of the cooker. However, a larger cooker may cause additional issues such as being less manageable for the user or taking longer to complete a run. These considerations should be carefully weighed in choosing the cooker for the final product. The crack that formed in the Fagor cooker was an obvious cause for concern for continued use that model. However, its ability to continue performing without issue even with the crack allows it to still be considered for future iterations. It is possible that the travel to Nicaragua caused the fault, rather than the testing conditions. It is desirable to find a similar model that is available for purchase in Nicaragua. Although the 24-petal concentrator generally proved inferior to the 6-petal concentrator based on this work's test of its usability and functionality, there were comments from local workers that the 24-petal concentrator seemed more feasibly manufactured locally. Though the Nicaraguan health officials did not specifically request that this product be able 56 to be locally manufactured, the ability to do so is still an objective of D-lab. Thus, consideration of the design of the 24-petal cooker may be useful for future iterations if further testing can prove that the power it provides is sufficient for powering the autoclave portion of the system. Alternatively, more research of the manufacturing capabilities of Nicaragua could show that the 6-petal design can also feasibly be manufactured locally. The pressure cooker ceramic insulation wrap functioned well, but needs a more standard fabrication method for each cooker, as well as some form of protection for the wrap from concentrated light to prevent browning of the material. Once the pressure cooker for the final product has been selected, a possible solution is to design a hard ceramic outer sleeve to house the cooker and protect the insulating material. Glass and color could also be incorporated into the sleeve to improve the aesthetics of the Solarclave. The concentrator alignment process was generally satisfactory with regard to its ease. However, there is still a safety concern. It would be ideal to develop a method that reduces the temptation to look at the sun when making adjustments, even if the user is wearing sunglasses. Careful considerations should be made to ensure that the user always operates the system while wearing sun protection. The system was operated without any special protective clothing except sunglasses, but it would be better to take extra sun safety precautions, especially when dealing with concentrated sunlight. During testing, the visible temperature on the data logger allowed the tester to monitor the temperature level and end a test after an appropriate amount of time at an appropriate temperature had passed. It was a relatively subjective process to determine if testing should continue after a large cloud had passed and caused a drop in the temperature. It is undesirable for the end project to cause the user to make such a decision. The Solarclave should include a user interface that alerts a user when sterilization conditions have been achieved, or if the given run has been deemed insufficient. Another useful indication would be of the water level in the cooker, because it is important that the water does not run out to prevent excessive overheating. However, adding electronics to the product could be difficult due to the high temperature application. 57 5.5.2 FurtherDevelopment of Theoretical Model The main flaw of the theoretical model was that it overestimated the power received from the solar concentration. It is likely that the geometry of the system is less ideal than expected and that not all sunlight is concentrated onto the bottom of the pressure cooker. In fact, it was observed during testing that some of the concentrated light was scattered. The percentage of light that actually focuses on the bottom of the pot when the concentrator is properly aligned could be considered the efficiency of concentrator, which could be another reduction factor in Equation 5. It is also possible that the estimate for absorptivity was too high. It does not seem as though the decision to ignore the travel of the sun was a cause for the error. Because the rise in temperature over time was effectively linear, the data suggests that there was not a significant change in power over time, as long as no shadows were cast on the system. The results from Trial 1.2 (Section 5.1.2) offer validation for the heat loss model and consequently also for a majority of the pressure cooker system parameter estimation. By adjusting the power estimate and otherwise not modifying the model, a fairly usable model for predictable the temperature inside the pressure cooker could result. However, the limitation of the model is that it does not provide a complete temperature profile of insulated pressure cooker, which might be desirable to have a more in-depth understanding of the system. 5.5.3 Improved Testing Due to the brevity of the trip, testing was performed in a manner that maximized the amount of data collected, and not necessarily repeatability. A sizable number of trials were performed, but the number of changed variables between each test was less than ideal to allow for comparison of results. To increase the confidence of the results, it would ideal to perform a multitude of tests with as many of the same outside conditions as possible. These conditions would include time of day, cloud coverage, air temperature, humidity, and wind speed, among other possible factors. Thus, it would be ideal to simultaneously test two or more identical systems, which was not possible with the available materials on the trip. 58 In some of the trials, several sterilization integrators clearly passed the tests, while others marginally failed. The packets were not placed in specific positions inside the cooker. Future testing may benefit from intentionally planning and recording the positions of the packets in the cooker in an effort to identify is there are any correlation between the packet placement and achievement of sterilization. 6 Conclusion The newly designed Solarclave offers a significant number of improvements over the old design. It can be operated by one person and has a faster over process time than the previous model. The theoretical model of the concentrator overestimated the power collected by the solar collector, which was likely a return of assuming too much ideal conditions. However, the actual power was still more than sufficient for achieving sterilization conditions with a 4-quart pressure cooker. The thermal model was satisfactorily able to predict the heat loss of the pressure cooker over time and could be used to further improve the design of the insulation of the pressure cooker, which is still wanting, especially as it pertains to the aesthetic of the product. One of the other major obstacles that exists for the Solarclave is ensuring that a user can easily assess whether or not sterilization has been successfully completed. However, the system works reliably enough that a beneficial next step would be having potential users can test device and provide feedback to help prioritize the remaining usability concerns. 59 Appendix A: Sterilization Times for Varying Steam Temperatures [4] Pressure Storilisator Absoute Terperature Gauge Pressure Pressure _C_ 110 111 112 113 114 115 116 117 118 119 120 122 123 124 125 126 127 128 129 130 131 132 133 135 136 137 138 139 140 [kPaj 143.26 148.15 153.15 158.31 163.62 189.05 174.64 180.38 186.27 [Bar..]I I1 43 1 48 0.43 0,48 153 1.58 163 1 69 053 058 1886 1.92 196.53 1.98 211.48 2,11 2 18 2.25 2.32 2.39 2.46 2.54 2.62 2.70 2.78 2.86 2-95 218.16 225.02 232.10 239.33 246.76 254.36 262.16 270.13 278.30 286.70 295,26 312.94 322.15 331.73 341.38 351.28 361.42 063 069 1 74 1 80 192.33 I [Bar.] - 7 074 080 0.86 092 0.98 Hoking bme [Minutes] 5854 51 73 4670 40-38 35.68 31.53 27.86 2461 21.75 19.21 16-98 111 13.25 1.18 1 25 1.32 11.71 10-35 8.14 1 39 1.46 1.54 1.62 1.70 8.06 1 78 7 14 631 5 57 4.92 435 1.86 3.84 1-95 3-40 3 12 3.22 3.31 2.12 2.22 2.31 3.41 285 234 2 07 2,41 183 162 3.51 3.61 - 2.51 2.61 I 143 9 Appendix B: MATLAB for Calculating Maximum Projected Area of Cylinder %projected area of cylinder for dif ferent angles of i ncident rays d=[diameter measured from insulated cooker]; %%need to be filled in h=[height measure from insulated]; need to be filled in areas=zeros(91,1); for x=0:90 areaofellipse=d^2/4*pi*sin(degtorad(x)); areaofrectangle=d*h*cos(degtorad(x)); areas(x+1,1)=areaofellipse + areaofrectangle; end areas maxarea=max(areas) 61 10 Appendix C: Iterative MATLAB CODE %%Temperature Over Time ..Input Parameters min=6; tnumber of minutes to plot dt=5; "infinitesimal" time segment P=0; %%power as determined by model T inf=30; 'initial temperature T i=60; '%start of measurement, 2 all metric in standard m_pot=1.7; in seconds in celsius to line up (outside estimates temperature) units mass of pressure cooker c_pot=457; %-specific heat of pressure cooker, stainless m_water=.35; kmass of water added to cooker cwater=4.186; :'specific heat of water m mass=. 3; mass of trivet and instruments in cooker cmass=cpot; 'specific heat of instruments steel C=mpot*cpot+mwater*cwater+mmass*c mass; t i= 0.0127 ; % insulation thickness t w= 0.00225; %cooker wall thickness h= 20; %%height of cooker k i= 0.0721; ''conductivity of insulation D= .23; Di=D-t w; outer diameter of pressure cooker -inner diameter of pressure cooker Ac= pi*D^2/4; %%area of lid hinf = 15; %"heat transfer coefficient As = pi*D*h;% area of side Rtopcond = t i/(k i*Ac); Rtopconv = 1/(hinf*Ac); Rsidecond = log(D/Di)/(2*pi*k_i*t_i); Rsideconv = 1/(hinf*As); Rbottomconv =1/(hinf*Ac); Req=(1/(Rtopconv+Rtopcond)+1/(Rsideconv+Rsidecond)+(1/Rbottomconv) ;tHeating Phase %%Heat Rise dQ=P*dt; %%heat added to system over time dTheat=dQ/C; tau=C*Req; t=0:dt:(60*min+dt); 62 dt )^-1 T=zeros(60*min/dt+2,1); T(1)=T i; for n=1:(60*min/dt+1) T(n+1,1)=T(n)+dTheat; T(n+1,1)=T inf+(T(n+1)-Tinf)*exp(-dt/tau); end %Holding phase for n=l:(60*min/dt+2) if T(n)>121 T(n)=121; end end figure(1) plot (t/60,T, 'k') hold on no loss scenario Tnl=zeros(60*min/dt+2,1); Tnl(1)=T i; for n=l:(60*min/dt+l) Tnl (n+l, 1) =Tnl (n) +dTheat; end "-"Holding phase for n=: (60kmin/dt+2) if Tni(n)>l21 Tnl(n)=121; end end plot (t/60,Tnl, 'r') 63 12 Appendix D: Weather Data [7] during Testing D Time (CST) Te T 12:00 PM 1:00 PM 2:00 PM 3:00 PM 29.0 ew Poin (P H umi dity Pressure Visibi lity Wind Dir Wind Speed Prec ip.ons 12/16/ 2013, Managua 0 C 30.00 C 20 .0 *C 20 .00 C 58 % 55 % 29.002 C 29.00 C 1011 hPa 100ha 100hPa 1010 h .0 0 C 21 .00 C % 62 NE km 10.0 km k km 1009 hPa % EE ENE E ENE km 11.1 km/ h/ 3.1 m/s 22.2 kinm h / 6.2 m/s 11.1 k h / 3.1 m/s 14.8 km/ h / 4.1 m/ N/A N/ N/A N N/A Scattered Clouds Scattered Clouds Scattered Clouds Scattered Clouds 12/17/ 2013, Managua 9:00 AM 10:00 AM 11:00 AM 12:00 PM 1:00 PM 2:00 PM 3:00 PM 12:00 PM 1:00 PM 29.00 C 30.0 C 31.00 C 31.0 * C 32.0 * C 32.00 C 32.00 C 22.0 C 23. 00 C 21 .0 C 20 .0 C 20 0 .0 C 20 0 *C 20 .0 C 19 .0 C 20 .0 C 19 .0 C 19 .0 C 62 % 55 100 1013 hPa 1013 hPa % 52 % 1012 hPa 52 49 1011 hPa 1010 hPa 46 1009hP 49 1008 hPa % % % % km 10 0 km 10.0 km 10.0 km 10.0 km 10.0 km 10.0 km ENE ENE East ENE NNE East NNE 22.2 km/ h / 6.2 m/s 29.6 kin h / 8.2 m/s 14.8 km/ h /4.1 m/s 22.2 km/ h / 6.2 m/s 25.9 km/ h /7.2 m/s 22.2 km/ h /6.2 m/s 14.8 km/ h / 4.1 m/s 12/18/2013, Jinotega (30km North of Matagalpa) 83 7.0 k 7.4 km/h % 1012 hPa /North 2.1 m/s 78 1011 hPa 3.0 k North 11.1 km/ h / 3.1 m/s % n 64 N/A N/A N/A N/A N/A N/A N/A N/A N/A Partly Cloudy Partly Cloudy Scattered Clouds Scattered Clouds Scattered Clouds Scattered Clouds Scattered Clouds Mostly Cloudy Drizzle 13 Bibliography [1] Little Devices Lab, "Solarclave/Nicaragua," D-Lab, 2012. 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