Instrument Engineer's Handbook for DURCO Quarter-turn Control Valves Flowserve Corporation Flow Control Division 1978 Foreman Drive Cookeville, TN 38501 FCD AXAMS0045-00 (AUTO-45) 1 Revision October 2011 Flowserve Corporation, Flow Control Division, Cookeville, Tennessee, extends its appreciation to the Instrument Society of America for its permission to adapt Standard S75.01©, Instrument Society of America, 1985 and Control Valve Sizing by L.R. Driskell©, Instrument Society of America, 1976. A valuable reference for further study of control valves is the ISA Handbook of Control Valves, Second Edition, 1976. Instrument Engineer’s Handbook for Durco Control Valves Preface This manual on control valve sizing brings together the mathematical tools required to select Durco valves properly for control valve applications. The equations presented for liquids, gases, and steam are based on the ISA standard S75.01 and are divided into sections to simplify manual calculation for the more common sizing problems. Examples of each type are presented for further comprehension. The selection of a correct valve size as mathematically determined depends on accurate knowledge of the actual flowing data. Frequently, one or more of the operating conditions are arbitrarily assumed. Most errors in control valve sizing are due to incorrect assumptions. Generally speaking, the tendency is to make the valve too large to be on the "safe side". Combining these so called "safety factors" can result in a valve which is oversized and one which contributes to poor control and system instability. There is no substitute for good engineering judgment. Only good common sense combined with experience can bring forth an acceptable solution in valve sizing. Control valve applications vary in degree from simple to complex. On occasion, guidance and assistance in selecting the proper control valve may be required. 2 TABLE OF CONTENTS Topic Page SECTION 1 – How to Size Valves Liquid Sizing Gas Sizing Steam Sizing Frequently Used Formula Conversions 5 6 14 17 20 SECTION 2 – Noise Abatement Hydrodynamic noise 21 22 SECTION 3 – Cv and Torque Tables for Valve and Actuator Sizing 26 28 29 29 30 31 32 32 32 33 34 35 36 37 37 Sleeved Plug Valve -- G4, G4B Marathon, TSG4, TSG4Z (standard port only) Cv Sleeved Plug Valve -- G4, G4B Marathon (use for standard and V-port) Sizing Torque Triple Sealed Sleeved Plug Valve --TSG4, TSG4Z (use for standard and V-port) Sizing Torque Sleeved Plug Valves (V-port only) -- G4, G4B Marathon, TSG4, TSG4Z Cv MG4 Sleeveline Plug Valves -- Multi-Port Plug Cv Port-Seal/Sleeved Mach 1 Valve V-Port Cv Port-Seal/Sleeved Mach 1 Valve Standard Port Cv Port-Seal/Sleeved Mach 1 Valve Sizing Torque Fluorocarbon Lined Plug Valves (standard port only) -- T4E Cv Fluorocarbon Lined Plug Valves -- T4E (use for standard port and V-port plugs) Sizing Torque Fluorocarbon Lined Plug Valves (V-port only) -- T4E Cv BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series Cv BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series Standard PFA/Viton Seat Sizing Torque BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series Firesealed, Standard PFA/Inconel & UHMWPE Seats only Sizing Torque BX2001-- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (70°F) Sizing Torque BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (800°F) Sizing Torque BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (1000°F) Sizing Torque BTV Valve -- Fluorocarbon Lined Butterfly Valves -- ANSI Class 150# Series Cv BTV Valve -- Fluorocarbon Lined Butterfly Valves -- ANSI Class 150# Series Sizing Torque BUV Valve -- UHMWPE Lined Butterfly Valves -- ANSI Class 150# Series Sizing Torque Atomac AKH3 Valve -- Standard Port Ball Valve -- Lined Cv Atomac AKH3E Valve -- V- Port Ball Valve -- Lined Cv Atomac CAKH3V Valve – C-Ball Standard Port Ball Valve –Lined Cv Atomac AKH3 Valve -- Standard Port Ball Valve -- Lined -- Clean / Clear Service Sizing Torque Atomac AKH3 Valve -- Standard Port Ball Valve -- Lined -- Slurry Service Sizing Torque Atomac CAKH3V Valve – C-Ball Standard Port Ball Valve –Lined Sizing Torque Atomac AKH2 Valve -- Standard Port Ball Valve -- Lined Cv Atomac AKH2 Valve -- Full Port Ball Valve -- Lined -- Clean / Clear Service Sizing Torque Atomac AKH2 Valve -- Full Port Ball Valve -- Lined -- Slurry Service Sizing Torque Atomac AKH5 Valve -- Standard Port Ball Valve -- Ceramic Lined Cv Atomac AKH5 Valve -- Standard Port Ball Valve -- Ceramic Lined (Liner & Ball) Clean / Clear Service Sizing Torque Atomac AKH5 Valve -- Standard Port Ball Valve -- Ceramic Lined (Liner & Ball) -- Slurry Service Sizing Torque 3 38 38 38 39 40 40 41 41 41 42 42 42 43 44 44 45 45 45 Atomac AKH2A Valve -- Full Port Ball Valve -- Lined Atomac AKH2A Valve -- Full Port Ball Valve -- Lined -- Clean / Clear Service Atomac AKH2A Valve -- Full Port Ball Valve -- Lined -- Slurry Service Atomac AKH6 Valve -- Tank Drain Ball Valve -- Lined Atomac AKH6 Valve -- Tank Drain Ball Valve -- Lined -- Clean / Clear Service Atomac AKH6 Valve -- Tank Drain Ball Valve -- Lined -- Slurry Service Atomac AMP3 Valve -- 3-Way Ball Valve -- Lined Atomac AMP3 Valve -- 3-Way Ball Valve -- Clean / Clear Service Atomac AMP3 Valve -- 3-Way Ball Valve -- Slurry Service SECTION 4 – Reference Data Pressure concepts and types Useful equivalents Mass rate Mass rate liquids Vacuum equivalents Temperature conversions Physical constants of common industrial substances Liquid velocity determination Steam recommendations Saturated and superheated steam tables Values of “K” Specific weight vs. temperature Compressibility charts ISA control valve sizing terminology, formulas and nomenclature 4 Cv Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque 46 46 46 47 47 47 48 48 48 49 50 50 51 52 52 52 53 56 57 58 60 61 62 65 Section One 5 LIQUID SIZING Liquid flow through Durco valves may be predicted by using the thermodynamic laws of fluid flow and the standards established in this manual by the Flowserve Corporation. There are two basic requirements that must be determined to properly size Durco control valves; first is the Cv required and second is the allowable pressure drop for a given service and valve. Proper selection of any control valve requires some basic information that may or may not be readily available. Ideally, we would like to: 1) Get a general description of what is to be accomplished or a data sheet if possible. 2) Have the following data provided. a) Inlet pressure. b) Temperature – maximum and minimum. c) Process fluid. d) Flow rates - maximum, normal and minimum. e) Vapor pressure. f) Pipeline size - schedule and material. g) Pressure drop - minimum, normal and maximum. h) Specific gravity. i) Critical pressure. The following formulae shall be used in sizing Durco Valves. 1-1.0 Cv= Q P S .G. Where: Cv = Flow coefficient required. Q = Flow in gpm. S.G. = Specific gravity P = Pressure drop in psi. Definition: Cv, is numerically equal to the number of U.S. gallons of water that will flow through a valve in one minute with water at 60OF and a one psi differential pressure across the valve. 1-1.1 Pallow = FL 2(P1-rcPV) Where: Pallow = allowable pressure drop in psi. FL2 = Recovery coefficient from CV chart. rc = Critical pressure ratio from rc chart. PV = Vapor pressure in psia. 1-1.2 CV = Q Pallow S .G. (for choked flow) Note: This formula should be used when Pactual Pallow , where: Pactual = P1-P2 6 DETERMINING THE REQUIRED Cv Formula 1-1.0 is the general-purpose equation for most liquid sizing applications. This formula utilizes the actual pressure drop or the inlet pressure minus the outlet pressure, to calculate the required Cv. Examination of the formula indicates that "if the pressure drop increased, the flow should also increase." There is, however, a point where further decreases in P2 results in no change in flow rate and is referred to as "Choked Flow." Therefore, the actual P no longer applies and a maximum Pallow must be substituted to calculate the required Cv,(equation 1.1.2). Choked flow results from flashing or cavitation and could cause damage to the valve and/or piping. When solving a liquid sizing application, consider some or all of the following points to determine if Pallow should be used. 1) If the inlet pressure (P1) is relatively close to the vapor pressure. 2) If the outlet pressure (P2) is relatively close to the vapor pressure. 3) If the actual pressure drop is large when compared to the inlet pressure. This means that if there is any doubt that the liquid service is in close proximity to choked flow, the Pallow must be calculated and compared to Pactual (see section on cavitation and flashing beginning on page 10). Using a valve smaller than line size will contribute to errors in the required Cv, due to losses caused by the expanders and reducers. Flowserve has calculated this effect on CV, and printed the results for your convenience (see Section 2). Should the need arise to calculate the corrected CV, for various combinations we have supplied a catalog of formulae from ISA Standards. When an incompressible fluid has a high viscosity and/or low velocity, laminar flow may exist. The CV previously discussed assumed turbulent flow and must be multiplied by a correction factor (FR) to obtain the actual flow coefficient. Generally speaking, if the viscosity is less than SAE 10 motor oil (~30cp), this factor may be neglected. CV CALCULATIONS PROCEDURE 1) Using the given flow conditions, calculate the CV, using equation 1-1.0. 2) Select a nominal valve size from the sizing charts based on the calculated CV. This CV, value should generally fall between 20-80% of port opening. 3) Read FL2 value from sizing chart based on the percent of opening at which the valve will operate. 4) Using the FL2 value, calculate the Pallow from equation 1-1.1. The rc value is determined from the critical pressure ratio charts on page 13. 5) Compare the Pallow to the Pactual if Pallow is greater than the actual pressure drop equation 1-1.0 is valid. If Pallow is less than actual pressure drop, equation 1-1.2 must be used and flashing exists (see section on cavitation and flashing beginning on page 10). 6) If viscosity correction is required, use the FR correction procedure. VISCOSITY CORRECTION When it is determined that the viscosity is greater than SAE 10 motor oil (30 cp @ 70F), the following correction should be made (Figure 1). 7 Based on the type of valve selected (plug or butterfly) calculate the Reynolds number using the following formulae and correct for the effects of laminar flow. Re = 17,300 Q v where: (for plug valves) CV Re = Reynolds number Q = Flow rate, gpm v = Viscosity, centistokes* CV = Flow coefficient Re = 12,283 Q v (for butterfly valves) CV *(centistokes = centipoise/S.G.) The correction factor may be obtained from Figure 1.0 the Viscosity Correction Factor chart. Use the value (FR) and calculate the corrected Cv. Cv (corrected) = FR Cv EXAMPLES FOR LIQUID SIZING Example 1 Given information: Fluid = water P1 = 150 psig = 14.7 = 164.7 psia P = 10 psi 8 Q = 50 gpm T = 193O PV = 10 psia S.G. = 1.0 Line size = 1” 1) Use equation 1-1.0. Q Cv Q P S .G. 50 = 10 1 .0 = 15.8 2) Select a nominal valve size from the sizing chart for V-ported valves on page 29. 3) For V-port plug valves, a 1" valve and a 1" line has a maximum Cv of 29.9. The calculated Cv of 15.8 falls in at about 72% of port opening. 4) The FL2 value at 72% opening is approximately 0.65. 5) Calculate Pallow from equation 1-1.1. Pallow = FL2 (P1 - rC PV) Where: FL2= 0.65 P1 = 164.7 psia PV = 10 psia rC = 0.95 (from rC charts) Pallow = 0.59 [164.7 - (0.95) (10)] = 100.91 psi 6) Compare the actual pressure drop to the allowable pressure drop. Pactual = 10 psi Pallow = 100.91 psi The actual pressure drop is less than the maximum allowable pressure drop. Therefore, equation 1-1.0 is valid. 7) Water is less viscous than SAE 10 weight motor oil and the FR factor may be neglected. Conclusion: The 1" V-port plug valve would operate at about 72% of full open and would be a good selection in this example. Example 2 Given information: Fluid = Liquid chlorine P1 = 125 psig + 14.7 = 139.7 psia P = 75 psi Q = 150 gpm T = 60OF PV = 100 psia S.G. = 1.42 Line size = 3" 9 1) Use equation 1-1.0. Q Cv Q P = S .G. 150 75 1.42 = 20.6 2) Select a nominal valve size from the sizing charts. For V-port plug valves, a 2" valve in a 3" line has a maximum CV of 52.2. The calculated CV of 20.7 fans in about 60% of port opening. 3) The FL2 value at 60% is approximately .86. 4) Calculate the Pallow from equation 1-1.1. Pallow = FL2 (P1 - rC PV) Where: FL2 = .86 P1 = 139.7 psia PV = 100 psia rC = 0.87 Note: rC was found by looking up the critical pressure PC and dividing that value into PV. PC = 1119 psia PV = 100 psia PV/PC = 100/1119 = 0.089 Enter value into graph on page 13, figure 1.3. Reading vertically rC = 0.87. Pallow = 0.86 [139.7 - 0.87 (100)] = 45.32 psi 5) Compare the actual pressure drop to the allowable pressure drop. Pactual = 75 psi Pallow = 45.32 psi The allowable pressure drop is less than the actual pressure drop. Therefore, equation 1-1.2 must be used to calculate the required CV. Q Cv Q Pallow = S .G. 150 45.32 1.42 = 26.56 Because the allowable pressure drop is less than the actual pressure drop, the required CV increased. The CV of 26.56 falls in at about 75% of opening indicating that our first selection has enough capacity to control the process. Referring to the cavitation and flashing section, the outlet pressure is less than the vapor pressure and flashing exists. Proper material selection should handle this type of problem, however, if cavitation exists in a different application consult the Cookeville Valve Operation. CAVITATION AND FLASHING We previously stated that there are two basic requirements that must be determined to properly size control valves. Accuracy has been improved with the introduction of the factor, rC and is called the 10 critical pressure ratio. We can now calculate the point where a liquid will result in choked flow and calculation of the allowable pressure drop is the technique used for this prediction. Pallow = FL2 (P1-rCPV) As a liquid flows through the control valve orifice it restricts the flow and causes the fluid to pick up velocity. The point where the fluid reaches maximum velocity results in an energy exchange that lowers the pressure. This point of lowest pressure and highest velocity is referred to as the vena contracta. FIGURE 1.1 Figure 1.1 shows the flow pattern of the fluid passing through a restriction and depicts what actually happens to the pressure at the vena contracta. If the vena contracta pressure (PVC) falls below the vapor pressure, vapor bubbles start to form. When the fluid passes the vena contracta the fluid velocity slows, thus raising the liquid pressure to some point (P2) less than the inlet pressure. If the outlet pressure (P2) recovers below the vapor pressure, flashing takes place. If the outlet pressure (P2) recovers above the vapor pressure, the vapor bubbles will implode and cavitation is present. Cavitation produces noise, vibration and physical damage to the valve and/or down stream piping. Therefore, calculation of the allowable pressure drop (Pallow) predicts whether or not the vena contracta pressure (PVC) will be below the vapor pressure. Avoiding cavitation or flashing means keeping the vena contracta pressure above the vapor pressure. We have included a flow chart to simplify determination of the fluid state for your convenience. 11 CAVITATION DETERMINATION 12 CONTROL VALVE SIZING CAVITATING AND FLASHING LIQUIDS FIGURE 1.2 - CRITICAL PRESSURE RATIOS FOR WATER 1 0.9 Critical Pressure Ratio rc 0.8 0.7 0.6 0.5 0 500 1000 1500 2000 2500 3000 3500 Pv = Vapor Pressure (psia) Enter the water vapor pressure value at inlet temperature on the abscissa. Proceed vertically to intersect the curve. Read the critical pressure ratio rC on the ordinate by moving horizontally to the left. FIGURE 1.3 – CRITICAL PRESSURE RATIOS FOR OTHER LIQUIDS 1 0.9 Critical Pressure Ratio rc 0.8 0.7 0.6 0.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Pv/Pc Where Pv = Vapor Pressure (psia) and Pc = Critical Pressure (psia) 13 Determine the vapor pressure/critical pressure ratio by dividing the liquid vapor pressure at the valve inlet (noting liquid temperature), by the critical pressure of the liquid. Enter this ratio on the abscissa and proceed vertically to intersect the curve. Read the critical pressure ratio rC on the ordinate by moving horizontally to the left. GAS SIZING Ideal gases and vapors are compressible fluids and require a similar approach to liquid sizing while taking into account such terms as the compressibility factor (Z), the expansion factor (Y) and the terminal pressure ratio (Xt). The flow rate (Q) has units of standard cubic feet per hour and care should be taken to convert your required flow from the compressibility charts in the reference data section beginning on page 67. The following formulae will be used to calculate the required flow coefficient for Durco valves. 1-2.0 CV = QSCFH 1360 P1 Y 1-2.1 Y=1- 1-2.2 CV= X GTZ X 3FkXt QSCFH 1360 P1 (0.667) Xt GTZ Where: X, Y, G, CV, and Z are dimensionless CV = Flow coefficient Q = Flow rate in SCFH P1 = Inlet pressure in psia Y = Expansion factor X = Pressure drop ratio P/P1 G = Specific gravity T = temperature, oR Fk = Specific heat ratio Xt = Terminal pressure drop ratio Z = Compressibility factor DETERMINING THE REQUIRED Cv Formula 1-2.0 is the general purpose equation for most gas sizing applications. However, when gases flow through a restriction they will expand and contract. We stated earlier that gas sizing includes both expansion and compressibility factors and careful examination of the fluid characteristics is required to accurately predict flow for gases and vapors. Formula 1-2.0 is based on the same premise that, as the pressure drop increases so will the flow increase. There is a point where the flow will choke off. Therefore, the value of Y has been limited 0.667. When Y can be calculated to be less than 0.667 the gas is at "Choked Flow" and equation 1-2.2 must be used to determine the required CV. The compressiblility factor (Z) is a correction factor for gases that deviate from the laws of perfect gases and effect the accuracy of the CV coefficient. Values of Z may be approximated using the compressibility charts in the reference data section beginning on page 67. 14 CV CALCULATION PROCEDURE 1) Convert flow units to SCFH 2) Calculate the expansion factor. Y=1– X (limit 0.667) 3FkXt Where: X = P/P1 (P1 in psia) Fk k Specific heat ratio of gas 1.4 Specific heat ratio of air Xt = From sizing charts (start at Xt = 0.5) 3) If Y is greater than 0.667 calculate the C, using formula 1-2.0. Based on the degree of opening from the sizing charts, recheck Y using the actual Xt, and recalculate the Cv. 4) If Y is less than O.667 calculate the CV using formula 1-2.2. Based on the degree of opening from the sizing charts, recheck Y using the actual Xt and recalculate the CV. EXAMPLES FOR GAS SIZING Example 1 Given information: Fluid = Air P1 = 100 psig + 14.7 = 114.7 psia P = 30psi T = 90oF + + 460 = 550oR Q = 50,000 SCFH G = 1.0 Line size = 2” X 3FkXt 0.26 Y=1 3(1.0)(0.5) 1) Y = 1 - Y = 0.83 Where: X = 30/114.7 = 0.26 Fk = 1.4/1.4 = 1.0 (k is found in the reference data section) Xt = 0.5(starting point) 2) Y is greater than 0.667, therefore, formula 1-2.0 should be used. The value of Z for air is 1.0 found in the reference data section. 15 CV QSCFH Xt GTZ 50,000 SCFH 1360 P1 (0.667) 1360 (114.7) (0.83) 0.26 1.0(550)(1.0) CV 17.8 3) The given information showed that the line size was 2". Referring to the sizing chart for the 2" V-port it is found that the valve would operate at about 67% of full open. The respective Xt, is about 0.53 and therefore the Cv, would not be affected. Example 2 Given Information: Fluid = Ethane P1 = 150 psig = 14.7 = 164.7 psia P = 95 psi T = 100oF + 460 = 560oF Q = 165,000 SCFH G = 1.05 k = 1.18 (from reference data section) Line size = 3” X (lim 0.667) 3FkXt 0.58 Y 1 3(0.84)(0.5) 1) Y Y 0.54 (choked flow) therefore, Y = 0.667 Where: X=95/164.7=0.58 Fk = 1.18/1.4 = 0.84 Xt = 0.5 2) The calculated value for Y is less than O.667, therefore use formula 1-2-2. Ethane is not an ideal gas under the stated pressures and temperatures and Z should be determined using the compressibility charts in the reference data section. Critical temperature and critical pressure, T, and P, respectively, were looked up for Ethane in the physical constants section of reference data. PC = 708 psia TC = 550oR Examining the first Z Graph, P, and T, must be calculated. Pr = 16 P1 164.7 0.23 PC 708 Tr = T 1 560 1.02 TC 550 Referring to the graph and enter the values above for Tr and Pr, a value for Z may be found. In this case it turns out to be 0.92. 3) We now have all of the unknown values and may calculate the CV. QSCFH CV 1360P1(0.667) Xt GTZ 165,000 SCFH CV 1360 (164.7)(0.667) 0.5 1.05(560)(0.92) CV = 36.8 4) It was given that the line size is 3" and referring to the 3" V-port sizing table on page 29, it is found that the valve will operate about 60-62% open. The corresponding Xt is about 0.64. Therefore, rechecking Y and CV, Y is less than 0.667 or at choked flow. 165,000 SCFH CV 1360 (164.7)(0.667) 0.64 1.05(560)(0.92) CV = 32.5 The proper selection is a 3" EG411 with a maximum available CV of 121. STEAM SIZING The effects of steam are similar to the previous discussion on gas sizing inasmuch as it also is a compressible fluid. The flow rate (W), however, is expressed as pounds per hour (lbs/hr) and care should be taken to convert your required flow to these units. Also see Steam Recommendations, page 62. The following formulae should be used to calculate the required CV for Durco valves. 1 3.0 CV W lbs./hr. 63.3 Y XP1 W1 1 3.1 Y 1 - 1 3.2 CV 17 X (lim 0.667) 3FkXt W lbs./hr. 63.3 (0.667) XtP1 W1 Where: Y, X CV are dimensionless W = Flow rate in lbs./hr. CV = Flow coefficient P1 = Inlet pressure in psia Y = Expansion coefficient X = Pressure drop ratio, P/P1 w1 = Specific weight, lbs./ft.3 Fk = Specific heat ratio factor Xt = Terminal pressure drop ratio DETERMINING CV FOR STEAM 1) Convert flow to lbs./hr. 2) Calculate the expansion factor. Y 1- X (lim 0.667) 3FkXt Where: X = P/P1 Fk = k/1.4 (k from steam chart in reference data section) Xt = from sizing charts beginning on page 29 (start at Xt = 0.5) 2) If Y is greater than 0.667 calculate the CV using formula 1-3.0. Based on the degree of opening from the sizing charts beginning on page 29, recheck Y using actual X, and recalculate the CV. 4) If Y is less than 0.667, calculate the CV using formula 1-3.2. Based on the degree of opening, recheck Y using the actual Xt and recalculate the CV. EXAMPLES FOR STEAM SIZING Example1 Given information: Fluid = Dry saturated steam P1 = 90 psig + 14.7 = 104.7 psia P = 20 psi T = 331oF W = 10,000 lbs./hr. k = 1.31 (from Table 5.1 under Reference Data) w1 = 0.236 (from Table 5.2 under Reference Data) X 3FkXt 0.191 Y 13 (0.936) (0.5) Y 0.86 1) Y 1 - Where: 18 X = 20/104.7 = 0.191 Fk = k/1.4 = 1.3/1.4 = 0.936 Xt = 0.5 (starting point) 2) Y is greater than 0.667, therefore, use formula CV 1-3.0 Wlbs / hr 63.3 Y XP1w1 10,000lbs/hr 84.7 63.6 (0.86) 0.19 (104.7) (0.236) 3) Assuming a 2" line and referring to the 2" standard Sleeveline sizing chart on page 29, it is found that the valve would operate at about 72% open. The corresponding Xt, is 0.5 indicating that the CV is correct. Example 2 Given information: Fluid = Superheated Steam P1 = 60 + 14.7 = 74.7 psia P = 50 psi T = 350oF W = 12,000 lbs/hr k = 1.31 (from Table 5.1 under Reference Data) w1 = 0.16 (from Table 5.2 under Reference Data) Line size = 4" X (lim 0.667) 3FkXt 0.669 Y 13(0.936) (0.5) 1) Y 1 - Y 0.524 (choked flow) therefore, Y = 0.667 Where: X = 50/74.7 = 0.669 Fk = 1.31/1.4 = 0.936 Xt = 0.5 (starting point) 2) Y is less than 0.667, therefore, use formula 1-3.2. CV Wlbs / hr 63.6 (0.667) Xt P1 w1 12,000lbs/hr 63.6 (0.667) 0.5 (74.7) (0.16) CV = 116 3) It was given that the line size was 4" and referring to the 3" Standard Sleeveline sizing chart on page 29, it is found that the valve would operate at about 65% open. The corresponding Xt, is about 0.58 and rechecking Y and CV. 19 Y is less than 0.667 (choked flow) 12,000lbs/hr 63.6 (0.667) 0.5 (74.7) (0.16) 108 The proper selection is a 3" G411 in a 4" line with a maximum available CV of 277. FREQUENTLY USED FORMULA CONVERSIONS Q P S.G. LIQUID CV 2 LIQUID Q S.G.T 963 C P P1 - P1 2 - GAS 1 V 2 2 P P1 - P1 2 STEAM w (1 .0007 s) - 2.12 C V Q=GPM Q=SCFH W = lbs. per hour 20 Section Two 21 HYDRODYNAMIC NOISE In reducing hydrodynamic noise, it is necessary to go to the source (the valve). In order to lower the sound pressure level, cavitation must be reduced. Cavitation is the result of a liquid being forced through an orifice, creating a pressure drop which falls below the vapor pressure of the incoming fluid. The point of lowest pressure is known as the Vena Contracta (see Figure 1). If the Vena Contracta is below the vapor pressure (the pressure at which a liquid will boil at ambient 62ºF temperature), flashing will occur causing the formation of vapor bubbles. As the pressure recovers the atmosphere inside, the bubble is at a lower pressure than the external liquid surrounding the bubble. This causes the vapor bubble to collapse. Usually. along the side, in an elbow or nearest fitting in the pipe, depending on the conditions and type of valve. As the bubble collapses, it usually will remove some material, leaving a small cavity. To reduce hydrodynamic noise, flashing/cavitation must be reduced. To reduce noise levels in a fluidic process, it has to be determined whether or not cavitation exists. This is accomplished by the following calculations: Ui - Valve inlet velocity which will create incipient cavitation. Uc - Valve inlet velocity which will create critical cavitation. d - Valve inlet diameter, use inside pipe diameter of equivalent schedule 40 pipe. (See table”A”) Cd - Required Cv/d2 P1 - Inlet Pressure in psia Pv - Vapor pressure in psia Ui = Jo x Ji x Jn x Jd Uc =Jo x Jc x Jn x Jd 22 6 x (S.G. x Ui) 2 Delta P Incipient = Pressure drop at which cavitation starts. Cd 2 6 x (S.G. x Uc) 2 Pressure drop at which heavy damage will occur. Cd 2 Delta P Critical = TABLE “A” COMMERCIAL WROUGHT STEEL PIPE DATA SCHEDULE 40 INCH NOMINAL SIZE 1 1.5 2 3 4 6 8 10 12(STD) OUSIDE DIAMETER WALL THICKNESS INSIDE DIAMETER WEIGHT #/FT. 1.315 1.900 2.375 3.500 4.500 6.625 8.625 10.750 12.750 .133 .145 .154 .216 .237 .280 .322 .365 .375 1.049 1.610 2.067 3.068 4.026 6.065 7.981 10.020 12.000 1.68 2.72 3.65 7.58 10.79 18.97 28.66 40.48 49.56 BASIC CALCULATIONS FOR J log x (12/d) Jd = 1 10(.329 - .615 x log Jk) .5 890 1 Jk = 2 cd P1 - Pv Jn = 71.5 .39 Jo 1.06 for d 12 1.00 for d 12 0.94 for d 12 Ji = 60.4 x Jk for Jk < 0.1 ; or 36.2 x Jk+2.42 for Jk > 0.1 Jc = 71.0 x Jk for Jk < 0.1 ; or 43.0 x Jk + 2.80 for Jk > 0.1 Depending on the process, piping, and valve, if the differential pressure indicates incipient cavitation or greater, steps may be taken to reduce cavitation, noise, and permanent damage to the process equipment. 23 Figure 4 PRESSURE RECOVERY COMPARE 24 25 Section Three 26 Contents Table SLEEVED PLUG VALVE -- G4, G4B Marathon, TSG4, TSG4Z (standard port only) SLEEVED PLUG VALVE -- G4, G4B Marathon (use for standard and V-port plugs) Triple sealed SLEEVED PLUG VALVE --TSG4, TSG4Z (use for standard, V-port and soundtrim plugs) SLEEVED PLUG VALVES (V-port only) -- G4, G4B Marathon, TSG4, TSG4Z MG4Sleevline Plug Valves -- Multi-Port Plug Port-Seal/Sleeved Mach 1 Valve V-Port Port-Seal/Sleeved Mach 1 Valve Standard Port Port-Seal/Sleeved Mach 1 Valve Fluorocarbon LINED PLUG VALVES (standard port only) – T4E Fluorocarbon LINED PLUG VALVES -- T4E (use for standard port and V-port plugs) Fluorocarbon LINED PLUG VALVES (V-port only) -- T4E BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series STANDARD PFA/VITON SEAT ONLY BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series FIRESEALED, STANDARD PFA/INCONEL & UHMWPE SEATS ONLY BX2001-- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (70°F) BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (800°F) BX2001 -- Big Max Butterfly Valves -- ANSI Class 150# Series -- TriFlex Metal Seat (1000°F) BTV VALVE -- Flurocarbon Lined Butterfly Valves -- ANSI Class 150# Series BTV VALVE -- Flurocarbon Lined Butterfly Valves -- ANSI Class 150# Series BUV VALVE -- UHMWPE Lined Butterfly Valves -- ANSI Class 150# Series ATOMAC AKH3 VALVE -- Standard Port Ball Valve -- FEP & PFA Lined ATOMAC AKH3E VALVE -- V- Port Ball Valve -- FEP & PFA Lined ATOMAC CAKH3V VALVE – C-Ball Standard Port Ball Valve -- FEP & PFA Lined ATOMAC AKH3 VALVE -- Standard Port Ball Valve -- FEP & PFA Lined -- Clean / Clear Service ATOMAC AKH3 VALVE -- Standard Port Ball Valve -- FEP & PFA Lined -- Slurry Service ATOMAC CAKH3V VALVE – C-Ball Standard Port Ball Valve -- FEP & PFA Lined ATOMAC AKH2 VALVE -- Standard Port Ball Valve -- FEP & PFA Lined ATOMAC AKH2 VALVE -- Full Port Ball Valve -- FEP & PFA Lined -- Clean / Clear Service ATOMAC AKH2 VALVE -- Full Port Ball Valve -- FEP & PFA Lined -- Slurry Service ATOMAC AKH5 VALVE -- Standard Port Ball Valve -- Ceramic Lined ATOMAC AKH5 VALVE -- Standard Port Ball Valve -- Ceramic Lined (Liner & Ball) Clean / Clear Service ATOMAC AKH5 VALVE -- Standard Port Ball Valve -- Ceramic Lined (Liner & Ball) -- Slurry Service ATOMAC AKH2A VALVE -- Full Port Ball Valve -- FEP & PFA Lined ATOMAC AKH2A VALVE -- Full Port Ball Valve -- FEP & PFA Lined -- Clean / Clear Service ATOMAC AKH2A VALVE -- Full Port Ball Valve -- FEP & PFA Lined -- Slurry Service ATOMAC AKH6 VALVE -- Tank Drain Ball Valve -- FEP & PFA Lined ATOMAC AKH6 VALVE -- Tank Drain Ball Valve -- FEP & PFA Lined -- Clean / Clear Service ATOMAC AKH6 VALVE -- Tank Drain Ball Valve -- FEP & PFA Lined -- Slurry Service ATOMAC AMP3 VALVE -- 3-Way Ball Valve -- FEP & PFA Lined ATOMAC AMP3 VALVE -- 3-Way Ball Valve -- FEP & PFA Lined -- Clean / Clear Service ATOMAC AMP3 VALVE -- 3-Way Ball Valve -- FEP & PFA Lined -- Slurry Service 27 Page Cv Sizing Torque Sizing Torque Cv Cv Cv Cv Sizing Torque Cv Sizing Torque Cv Cv Sizing Torque Sizing Torque 28 29 29 30 31 32 32 32 33 34 35 36 37 37 Sizing Torque Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque Cv Cv Cv Sizing Torque Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque Cv Sizing Torque 38 38 38 39 40 40 41 41 41 42 42 42 43 44 44 45 45 Sizing Torque Cv Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque Cv Sizing Torque Sizing Torque 45 46 46 46 47 47 47 48 48 48 Sleeved Plug Valves (standard port only) G4, G4B Marathon, TSG4, TSG4Z Cv Valve Size .5 .75 1 1.5 2 3 4 6 8 10 12 14 16 18 FL2 Xt Pipe Size .5 .75 2 1.5 1 3 2 1.5 4 3 2 6 4 3 8 6 4 10 8 6 8 10 12 14 16 18 10 NA NA .4 .5 .61 .7 .9 1.1 1.3 1.6 1.9 3 4 4 5 6 7 10 11 12 24 30 43 44 89 89 0.94 0.16 20 N/A N/A 1.48 1.85 2.28 2.8 3.5 3.9 4.8 5.9 7.2 10 13 16 17 20 26 37 39 45 88 112 161 163 332 332 0.94 0.64 30 NA NA 3.19 3.99 4.91 6.1 7.6 8.5 10.3 12.9 15.6 22 28 33 37 44 57 80 85 98 190 241 348 351 715 715 0.92 0.64 % Of Rotation Live zero to fully open 40 50 60 70 NA N/A NA N/A N/A NA N/A NA 5.50 8.39 11.9 15.9 6.88 10.5 14.8 19.9 8.46 12.9 18.2 24.4 10.4 16 22 30 13.1 20 28 38 14.7 22 32 42 17.8 27 38 51 22.2 34 48 66 27.0 41 58 78 38 58 82 110 49 74 105 141 57 87 122 164 64 97 137 184 76 116 165 220 98 149 211 282 138 211 298 398 146 224 316 423 168 257 363 486 477 500 707 946 606 635 897 1202 872 915 1292 1730 880 923 1304 1746 1795 1884 2661 3562 1795 1884 2661 3562 0.88 0.82 0.79 0.75 0.72 0.79 0.61 0.51 * Estimated Values 80 NA N/A 20.4 25.6 31.5 39 49 55 66 87 100 142 182 211 237 284 364 513 544 626 1219 1548 2229 2248 4588 4588 0.67 0.37 90 N/A NA 25.6 32.0 39.3 49 61 68 84 107 125 177 227 264 296 355 455 641 681 782 1522 1933 2784 2809 5732 5732 0.57 0.24 100 7.4 19.6 31.2 39.0 48.0 59 74 83 101 126 153 216 277 322 361 433 555 783 831 955 1859 2361 3400* 3430* 7000* 7000* 0.50 0.61 Cv values are based valves being used in conjunction with concentric reducers The range of rotation starts from the live zero position of the valve Use appropriate torque tables on next page for: G4 and G4B Marathon Plug Valve TSG4 TSG4Z Plug Valve 28 Sleeved Plug Valve G4, G4B Marathon (use for standard and V-port plugs) VALVE SIZE SIZING TORQUES (Inch-lbs.) PTFE UHMWPE DURLON II C/C SLY ALKY C/C SLY C/C <1 300 405 450 380 475 300 1 335 452 565 660 720 450 1.5 497 671 838 680 740 540 2 675 911 1138 1200 1620 750 2.5 1180 1458 1822 1800 2430 1300 3 1180 1458 1822 1800 2430 1300 4&5 2400 3240 4050 3750 5063 2500 6 6000 8100 10125 9900 12500 7500 8* 9300 12555 15693 15000 17500 11200 8** 6960 9396 N/A CF CF 8352 10* 29400 39690 49612 40000 42500 35200 10** 22020 29300 N/A CF CF 26222 12*F 39900 42000 50000 40000 42500 40000 12** 29926 40403 N/A CF CF 30000 14 39900 42000 50000 40000 42500 42000 16 60000 N/A 65000 N/A N/A 70000 18 60000 N/A 65000 N/A N/A 70000 *150# DCI & 300# Alloy Body **150# Alloy Body G4N Style Note: For dry services, use slurry torque requirements CF= Consult Factory C/C= Clean Clear SLY= Slurry For Zirconium and CZ100 Nickel Plugs, consult factory for torque values Consult factory for other sleeve materials. SLY 405 608 729 1013 1755 1755 3375 10165 15300 11300 42000 32000 42000 35000 44000 75000 75000 Triple Sealed Sleeved Plug Valve TSG4, TSG4Z (use for standard and V-port plugs) SIZING TORQUES (Inch-lbs.) VALVE SIZE <1 1 1.5 2 2.5 3 4&5 6 8* 8** 10* 10** 12*F 12** 14 16 18 29 TSG4 – PTFE C/C 345 518 621 1035 1380 1380 2760 7256 15000 N/A 40000 N/A 40000 N/A 40000 N/A N/A SLY 450 699 740 1397 1863 1863 3726 9798 17000 N/A 42000 N/A 42000 N/A 42000 N/A N/A ALKY 475 838 940 1676 2235 2235 4471 11757 21000 N/A 50000 N/A 50000 N/A 50000 N/A N/A TSG4Z - PTFE C/C 414 621 710 1207 2070 2070 3969 10350 15500 N/A 42000 N/A 42000 N/A 42000 N/A N/A SLY 500 740 765 1630 2600 2600 5356 12500 17500 N/A 44000 N/A 44000 N/A 44000 N/A N/A ALKY 570 900 940 1956 3150 3150 6427 14500 22000 N/A 52000 N/A 52000 N/A 52000 N/A N/A Sleeved Plug Valves (V-port only) Cv Valve Size 1 1 1 1 1.5 2 3 4 6 FL2 Xt Pipe Size 1 1 1 2 1.5 1 3 2 1.5 4 3 2 6 4 3 8 6 4 10 8 6 10 0.03 0.05 0.10 0.31 0.35 0.38 0.4 0.4 0.4 0.6 0.7 0.7 1.4 1.5 1.5 2.3 2.3 2.4 4.9 4.9 5.1 0.96 0.23 20 0.14 0.18 0.38 1.15 1.29 1.42 1.4 1.4 1.5 2.4 2.5 2.5 5.3 5.6 5.7 8.4 8.7 9.01 18.2 18.4 19.0 0.96 0.39 30 0.31 0.42 0.82 2.47 2.78 3.06 3.0 3.1 3.2 5.1 5.3 5.5 11.4 12.1 12.4 18.1 18.8 19.4 39.3 39.7 40.9 0.95 0.64 G4, G4B Marathon, TSG4, TSG4Z % Of Rotation Live zero to fully open 40 50 60 70 0.53 0.81 1.14 1.52 0.71 1.08 1.52 2.05 1.41 2.15 3.04 4.07 4.27 6.51 9.20 12.3 4.80 7.32 10.3 13.8 5.27 8.04 11.4 15.2 5.2 8 11 15 5.4 8 12 16 5.5 8 12 16 8.8 13 19 25 9.2 14 20 27 9.5 14 20 27 19.8 30 43 57 20.8 32 45 60 21.3 33 46 62 31.2 48 67 90 32.4 49 70 94 33.5 51 72 97 67.7 103 146 195 68.4 104 147 197 70.5 107 152 204 0.94 0.93 0.86 0.73 0.75 0.73 0.64 0.49 80 1.96 2.62 5.24 15.7 17.8 19.6 19 20 20 33 34 35 73 77 79 116 121 124 252 254 262 0.64 0.33 90 2.46 3.28 6.55 19.8 22.3 24.5 24 25 26 41 43 44 92 97 99 145 151 156 315 318 328 0.56 0.28 Cv values are based valves being used in conjunction with concentric reducers The range of rotation starts from the live zero position of the valve Use appropriate torque tables on PREVIOUS page for: G4 and G4B Marathon Plug Valve TSG4 TSG4Z Plug Valve 30 100 3.00 4.00 8.00 24.2 27.2 29.9 29 31 31 50 52 54 112 118 121 177 184 190 384 388 400 0.45 0.28 MG4 Cv #1 Valve A<->C Size B<->C .5 5.4 .75 15.8 1 23.5 1.5 30.8 2 61.6 3 109 4 169 6 365* 8 525* 10 770* 12 872* FL2 0.43 Xt 0.28 *Estimated Value #3 #5 B<->C C<->A&B A<->B B<->C MAX 5.4 7.4 2.4 2.4 15.8 19.6 7.0 7.0 23.5 48.8 15.9 18.0 30.8 83.5 22.9 21.6 61.6 153 45.9 35.6 109 322 78 64 169 555 152 130 365* 955* 272* 250* 525* 1410* 500* 370* 770* 2130* 720* 670* NA NA 815* 758* 0.43 NA 0.47 0.47 0.28 NA 0.30 0.30 Sleeveline Plug Valves Multi-Port Plug #7 #8 A<->C C<->A&B A<->C A<->B B<->C MAX B<->C 5.4 7.4 2.4 2.4 15.8 19.6 7.0 7.0 23.5 48.8 18.0 15.9 30.8 83.5 21.6 22.9 61.6 153 35.6 45.9 108 322 64 78 169 555 130 152 365* 955* 250* 272 525* 1410* 370* 500* 770* 2130* 670* 720* NA NA 758* 815* 0.43 NA 0.47 0.47 0.28 NA 0.30 0.30 Characteristic Curve for MG Valve with Transflow Plug For Typical Arrangement Numbers See Bulletin V-24 31 #13 A<->C B<->C 5.4 19.4 22.7 33.9 56.1 94 171 333* 525* 770* 872* 0.43 0.28 Mach 1 Sleeved Plug Valves Mach 1 Sizing torque (in-lb) (Port-seal) Size 1 1.5 2 3 4 6 8 C-C 260 370 550 860 2000 4320 N/A Slurry 351 500 743 1161 2700 5832 N/A (Sleeve) ALKY 439 624 928 1451 3375 7290 N/A C-C 310 430 600 1020 2200 5200 7600 Slurry 419 581 810 1377 2970 7020 10260 ALKY 523 726 1013 1721 3713 8775 12827 -Stated torques are sizing torques. No further safety factors are to be applied to these values -Torques values apply to Class 150, 300, 600 valves -Torques values apply to both standard and V-port valves - Torques of this table apply to valves having seats in PFA. For torques of valves with seats in UHMWPE, Tefzel and other materials please consult factory -For torques of valves with severe service bonnet, please consult factory - For Zirconium and CZ100 Nickel Plugs, consult factory for torque values -On Cv tables the range of rotation starts from the live zero position of the valve Flow Coefficient (Cv) for Mach 1, V-Port valves, Port-Seal or Sleeved Percent of rotation Live zero to fully open Valve Size Pipe Size 10 20 30 40 50 60 70 80 90 100 1 1 1 1 1 1 1 1 1 1.5 1.5 1.5 2 2 2 3 3 3 4 4 4 6 6 6 1 1.5 2 1 1.5 2 1 1.5 2 1.5 2 3 2 3 4 3 4 6 4 6 8 6 8 10 0.16 0.15 0.13 0.09 0.08 0.07 0.05 0.05 0.04 0.38 0.37 0.36 0.57 0.55 0.53 1.14 1.11 1.06 2.08 2.02 1.94 3.87 3.75 3.71 0.61 0.56 0.5 0.33 0.3 0.27 0.19 0.17 0.15 1.46 1.41 1.37 2.17 2.09 2.01 4.33 4.23 4.01 7.91 7.66 7.37 14.7 14.3 14.1 1.33 1.21 1.08 0.72 0.65 0.58 0.41 0.37 0.33 3.18 3.07 2.97 4.71 4.54 4.36 9.43 9.19 8.73 17.2 16.7 16.0 32.0 31.0 30.7 2.29 2.08 1.85 1.23 1.12 1.0 0.7 0.64 0.57 5.46 5.28 5.1 8.1 7.8 7.5 16.2 15.8 15.0 29.6 28.6 27.6 54.9 53.3 52.7 3.55 3.23 2.87 1.91 1.74 1.55 1.09 0.99 0.88 8.45 8.18 7.91 12.6 12.1 11.6 25.1 24.5 23.2 45.8 44.4 42.7 85.1 82.5 81.7 4.94 4.5 4 2.66 2.42 2.15 1.52 1.38 1.23 11.8 11.4 11.0 17.5 16.8 16.2 35.0 34.1 32.4 63.9 61.9 59.5 119 115 114 6.66 6.06 5.39 3.59 3.26 2.9 2.05 1.86 1.66 15.9 15.4 14.9 23.6 22.7 21.8 47.1 46.0 43.6 86.1 83.4 80.2 160 155 153 8.49 7.72 6.87 4.57 4.16 3.7 2.61 2.38 2.11 20.2 19.6 18.9 30.0 28.9 27.8 60.1 58.6 55.6 110 106 102 204 198 196 10.64 9.68 8.61 5.73 5.21 4.64 3.27 2.98 2.65 25.4 24.6 23.7 37.6 36.2 34.9 75.3 73.4 69.7 137 133 128 255 248 245 13 11.83 10.52 7 6.37 5.67 4 3.64 3.24 31 30 29 46 44.3 42.6 92 89.7 85.2 168 163 157 312 303 300 1.5 5.7 12.4 21.3 33 46 62 79 99 121 Flow Coefficient (Cv) for Mach 1, Standard Port valves, Port-Seal or Sleeved Percent of rotation Live zero to fully open Valve Size Pipe Size 10 20 30 40 50 60 70 80 90 100 1 1 1 1.5 1.5 1.5 2 2 2 3 3 3 4 4 4 6 6 6 8 1 1.5 2 1.5 2 3 2 3 4 3 4 6 4 6 8 6 8 10 8 0.52 0.47 0.42 1 0.97 0.94 2 1.92 1.85 3.31 3.23 3.06 6.79 6.58 6.3 12.4 12.0 11.9 24 1.93 1.76 1.56 3.82 3.69 3.57 7.58 7.3 7.02 12.6 12.3 11.6 25.8 25.0 24.1 47.2 45.7 45.3 88 4.21 3.83 3.41 8.3 8.03 7.77 16.5 15.9 15.3 27.4 26.7 25.3 56.2 54.4 52.3 102.6 99.5 98.5 190 7.21 6.56 5.84 14.26 13.8 13.34 28.34 27.3 26.2 47.0 45.8 43.5 96.5 93.4 89.9 176 171 169 477 11.0 10.0 8.9 22.1 21.4 20.7 43.9 42.3 40.7 72.8 71.0 67.4 149 145 139 273 265 262 500 15.6 14.2 12.6 30.8 29.8 28.8 61.2 58.9 56.7 102 99 94.0 208 202 194 381 369 365 707 20.9 19.0 16.9 41.5 40.2 38.8 82.5 79.4 76.4 137 133 127 281 272 262 513 498 492 946 26.9 24.5 21.8 52.9 51.2 49.5 105 101 97 174 170 161 358 346 333 654 634 627 1219 33.6 30.5 27.2 66.3 64.1 62.0 132 127 122 218 213 202 448 434 418 819 794 786 1522 41.0 37.3 33.2 81.0 78.4 75.8 161 155 149 267 260 247 548 531 511 1001 971 961 1859 Reduced capacities are calculated for installation with concentric reducers 32 T4E- Cv Values of Standard Plug Valves Size 10 20 30 Percentage of Opening 40 50 60 70 80 90 100 015 ½" 0.0 0.0 0.0 0.0 0.6 1.4 2.7 6.3 13.0 14.6 020 ¾" 0.0 0.0 0.0 1.3 2.8 5.0 8.4 13.1 16.2 17.8 025 1" 0.0 0.0 0.0 1.4 3.6 5.7 8.8 18 25 30 040 1½" 0.0 0.0 0.0 2.6 8.0 11.9 21 35 58 78 050 2" 0.0 0.0 1.7 5.9 15 26 47 73 137 181 080 3" 0.0 0.0 2.9 13 26 44 63 115 192 273 100 4" 0.0 0.0 17 38 60 98 142 215 345 470 150 6" 0.0 13.4 46 85 139 219 273 392 575 775 200 8" 0.0 13.5 84 186 256 447 604 941 1418 1818 250 10" 0.0 8.7 60 164 355 575 709 1186 1953 2464 300 12" C/F C/F C/F C/F C/F C/F C/F C/F C/F C/F T4E- Kv Values of T4E Standard Plug Valves 10 20 30 Percentage of Opening 40 50 60 70 80 90 100 015 ½" 0.0 0.0 0.0 0.0 0.5 1.2 2.3 5.4 11.2 12.6 020 ¾" 0.0 0.0 0.0 1.1 2.4 4.3 7.2 11.3 13.9 15.3 025 1" 0.0 0.0 0.0 1.2 3.1 4.9 7.6 15 22 26 040 1½" 0.0 0.0 0.0 2.2 6.9 10 18 30 50 67 050 2" 0.0 0.0 1.5 5.1 13 23 40 63 118 156 080 3" 0.0 0.0 2.5 11.2 22.4 38 54 99 165 235 100 4" 0.0 0.0 14.6 33 52 84 122 185 297 404 150 6" 0.0 11.5 40 73 120 188 235 337 495 667 200 8" 0.0 11.6 72 160 220 385 520 810 1220 1564 250 10" 0 7.5 52 141 305 495 610 1020 1680 2120 300 12" C/F C/F C/F C/F C/F C/F C/F C/F C/F C/F Size C/F -Contact Factory The above figures apply to both T4E1and T4E3 valves For Cv information regarding T41 and T43 valves, please contact factory See torque table on next page. 33 T4E - Actuator Sizing Torques For standard and V-port plug For T4E1 and T4E3 For clean and clear application Size 015 020 025 040 050 080 100 150 200 250 300 Nm ½" ¾" 1" 1½" 2" 3" 4" 6" 8" 10" 12" in-lbs 45 45 45 57 90 125 237 645 1685 2640 3300 398 398 398 504 797 1106 2098 5709 14914 23366 29207 For dry and slurry application Size 015 020 025 040 050 080 100 150 200 250 300 ½" ¾" 1" 1½" 2" 3" 4" 6" 8" 10" 12" Nm in-lbs 61 61 61 77 122 169 320 871 2205 3459 4315 538 538 538 681 1075 1494 2832 7707 19516 30615 38191 -Stated torques are sizing torques. No further safety factors are to be applied against these torques. -The use of V-Plugs does not result in change in sizing torques. -Stated sizing torques are "Break-Open“ and "Re-Seating“ torques. Running torques are typically 35% below sizing torques. -Please note the service conditions of the pressure-temperature diagrams: For torque information regarding T41 and T43 valves, please contact factory 34 T4E- Cv Values of V-Port Plug Valves Percentage of Opening Size Port 10 20 30 40 50 60 70 80 90 100 025 1" slotted 0.0 0.0 0.0 0.06 0.17 0.40 0.52 0.62 0.72 0.76 025 1" slotted 0.0 0.0 0.0 0.23 0.59 1.14 1.74 2.44 2.91 3.02 025 1" V-port 0.0 0.0 0.0 0.12 0.52 1.57 2.27 4.65 7.55 8.31 025 1" V-port 0.0 0.0 0.0 0.23 1.10 2.03 4.07 6.63 10.6 13.3 025 1" V-port 0.0 0.0 0.0 0.12 0.70 2.44 5.00 9.18 15.1 24.9 040 1.5" V-port 0.0 0.0 0.0 0.12 0.76 2.79 6.16 10.8 20.3 29.6 050 2" V-port 0.0 0.0 0.0 0.29 2.44 6.16 12.1 19.8 33.7 53.6 080 3" V-port 0.0 0.0 0.0 0.35 2.79 8.48 18.6 34.9 61.6 88.7 100 4" V-port 0.0 0.0 0.12 1.74 9.41 23.2 40 64 109 187 T4E- Kv Values of V-port Plug Valves Percentage of Opening Size Port 10 20 30 40 50 60 70 80 90 100 025 1" slotted 0.0 0.0 0.0 0.05 0.15 0.34 0.45 0.53 0.62 0.65 025 1" slotted 0.0 0.0 0.0 0.20 0.51 0.98 1.50 2.1 2.5 2.6 025 1" V-port 0.0 0.0 0.0 0.1 0.45 1.35 1.95 4 6.5 7.15 025 1" V-port 0.0 0.0 0.0 0.2 0.95 1.75 3.5 5.7 9.1 11.4 025 1" V-port 0.0 0.0 0.0 0.1 0.6 2.1 4.3 7.9 13.0 21.4 040 1.5" V-port 0.0 0.0 0.0 0.1 0.65 2.4 5.3 9.3 17.5 25.5 050 2" V-port 0.0 0.0 0.0 0.25 2.1 5.3 10.4 17.0 29.0 46.1 080 3" V-port 0.0 0.0 0.0 0.3 2.4 7.3 16 30.0 53.0 76.3 100 4" V-port 0.0 0.0 0.1 1.50 8.10 20.0 34 55 94 161 See torque table on previous page. The above figures apply to both T4E1 and T4E3 V-port valves For Cv information regarding T41 and T43 V-port valves, please contact factory 35 BX2001 Valve Big Max Butterfly Valves ANSI Class 150# Series Cv Valve Size 2 3 4 5 6 8 10 12 FL2 Xt 14 16 18 20 24 30 36 FL2 Xt 10 2 3 7 11 20 54 99 180 0.74 0.46 231 305 345 420 615 930 1340 0.6 0.42 20 9 15 37 62 100 158 277 386 0.72 0.41 544 704 805 1120 1640 2480 3570 0.6 0.42 30 19 33 75 117 195 269 437 635 0.7 0.39 884 1144 1380 1820 2665 4030 5800 0.57 0.42 40 38 63 120 164 275 396 650 1011 0.67 0.37 1428 1848 2300 2940 4305 6510 9370 0.56 0.42 % Of Rotation 0-90 Degrees 50 60 70 49 59 62 87 102 110 160 185 225 223 256 336 350 415 505 560 747 948 950 1351 1808 1477 2070 2710 0.64 0.63 0.6 0.34 0.29 0.27 2108 3060 4080 2728 3960 5280 3450 5175 6900 4340 6300 8400 6355 9225 12300 9610 13950 18600 13840 20090 26780 0.54 0.53 0.49 0.39 0.38 0.34 80 65 115 260 363 615 1153 2182 3582 0.57 0.24 5100 6600 8625 10500 15375 23250 33480 0.43 0.25 90 68 120 295 382 782 1409 2686 4534 0.55 0.23 6120 7920 10350 12600 18450 27900 40180 0.35 0.2 100 68 120 305 527 900 1516 3503 4859 0.54 0.21 6800 8800 11500 14000 20500 31000 44640 0.25 0.16 See torque tables on pages 37 and 38. 36 BX2001 Valve BIG MAX Butterfly Valves ANSI Class 150# Series and 300# Series BX2001 Valve Sizing Torque (inch pounds) Torques Are Based On Closing Upstream - max flow 10 ft/sec for flows greater than 10 ft/sec use max delta P on chart. BX2001 Size 2 3 4 5* & 6 8 10 12 Standard PFA/Viton Seat Only 50 150 210 315 720 900 1800 2200 100 190 250 475 840 950 2,650 3,200 150 210 345 545 1,020 1,350 2,900 3,850 200 230 410 624 1,200 1,600 3,300 4,620 Shut Off Pressure 250 285 300 250 262 270 465 525 545 684 744 749 1,284 1,440 1,491 1,900 2,000 2,080 3,960 4,560 4,659 5,280 5,950 6,130 400 315 660 780 1,780 2,535 5,220 7,150 500 360 780 860 2,040 3,225 5,940 8,000 600 700 740 410 450 480 850 960 980 1,032 1,260 1,320 2,260 2,480 2,560 3,825 4,375 4,550 6,470 7,460 7,850 8,975 10,150 11,000 2" - 12" (1) 2" -12" Triple Seal-use standard seat values times 1.5. (2) For BX series valves (standard seat), use Firesealed BX2001 NOTES: values. Size 14 16 18 20 24 30 36 25 5,400 6,300 7,452 8,640 11,880 18,900 26,037 50 6,200 7,100 8,400 9,840 13,200 21,600 30,240 75 6,700 7,200 8,520 10,320 13,200 21,840 31,140 100 6,820 7,200 9,120 10,800 13,440 22,800 32,040 125 7,000 7,320 9,600 11,400 14,280 24,000 33,595 Shut Off Pressure 150 200 285 300 400 500 7,200 7,500 9,000 9,288 10,920 12,546 7,800 8,640 11,040 11,364 13,200 14,286 10,200 11,880 15,000 15,225 16,500 17,858 12,000 14,640 19,800 20,730 26,000 30,300 15,000 16,800 23,760 25,800 27,420 43,440 35,150 41,520 63,745 600 14,172 15,372 19,215 34,600 700 14,988 16,724 20,905 37,200 740 15,396 17,400 21,750 39,100 700 14980 16710 20888 46500 740 15396 17400 21750 48875 * 5" available in 150# only BX2001 Apex, Firesealed, Std. PFA/Inconel and UHMWPE seats Only Size 2 3 4 5* & 6 8 10 12 50 200 280 420 960 1195 2395 2926 100 253 335 630 1120 1265 3525 4256 150 279 460 725 1360 1795 3860 5121 200 306 545 830 1595 2130 4390 6145 Shut Off Pressure (psig) 250 285 300 333 359 389 620 700 710 910 990 1005 1710 1915 1947 2530 2660 2726 5265 6065 6197 7022 7914 8153 Size 14 16 18 20 24 30 36 25 6000 7000 8280 9600 13200 21000 28930 50 6200 7100 8400 9840 13200 21600 30240 75 6700 7200 8520 10320 13200 21840 31140 100 6820 7200 9120 10800 13440 22800 32040 125 7000 7320 9600 11400 14280 24000 33595 * 5" available in 150# only 37 400 419 760 1080 2125 3100 6943 9510 Shut Off Pressure 150 200 285 7200 7500 9000 7800 8640 11040 10200 11880 15000 12000 14640 19800 15000 16800 23760 25800 27420 43440 35150 41520 63745 500 479 820 1190 2420 3560 7900 10640 600 545 880 1310 2700 4000 8605 11937 700 599 960 1410 3400 4475 9922 13500 740 638 1000 1470 3750 4800 10441 14630 300 9288 11364 15225 23570 400 10920 13200 16500 32500 500 12546 14251 17858 37875 600 14172 15372 19215 43250 BX2001 Butterfly Valve ANSI Class 150# and 300# Series Triflex Metal Seat (70°F) BX2001 Valve Sizing Torque (inch pounds) Torques Are Based On Closing Upstream - max flow 10 ft/sec for flows greater than 10 ft/sec use max delta P on chart. BX2001 BX2001 - TriFlex Metal Seat (70 Deg. F) Shut Off Pressure (psig) SIZE 50 100 150 200 250 285 300 400 500 600 700 2 308 345 390 435 480 623 684 792 900 963 981 740 981 3 410 460 520 580 640 830 912 1056 1200 1284 1308 1308 4 765 855 970 1200 1430 1605 1680 1956 2184 2258 2292 2292 6 1410 1570 1735 1920 2100 2472 2904 3276 3540 3732 3780 3780 8 2630 2930 3305 3670 4030 5115 5580 6300 6840 7104 7200 7200 10 4590 4995 5510 6070 6630 8373 9120 10320 11160 11168 12000 12000 12 7140 8060 9080 10100 11120 13836 15000 16800 18240 18250 19200 19200 Shut Off Pressure Size 0 50 100 150 200 250 285 300 400 500 600 700 740 14 10320 11520 12840 14340 15600 17160 18630 19260 23780 29350 36240 44740 48720 16 13800 15300 17040 18900 20880 22800 24000 25210 30450 36770 44400 53620 57860 18 15600 17400 19560 21600 24000 26280 27600 28980 34100 42260 51040 61630 66510 20 17400 19800 21840 24000 27000 29400 30600 32600 38363 47543 57420 69334 74824 24 19560 22260 24540 27000 30300 32930 34660 30 23854 27270 30032 32898 37240 40403 42025 BX2001 BX2001 Butterfly Valve BX2001 - TriFlex Metal Seat (800 Deg. F) Shut Off Pressure (psig) Size 0 20 40 60 80 100 200 300 2 338 368 399 430 461 576 729 864 981 3 450 491 532 573 614 768 972 1152 1308 4 715 782 849 916 983 1236 1560 1848 2040 6 1430 1558 1686 1814 1942 2436 3036 3480 3780 8 2755 3000 3245 3490 3735 4680 5820 6660 7200 10 5100 5465 5834 6200 6586 8160 9840 11280 12000 12 8160 8731 9302 9873 10444 12960 15840 17880 19200 14 16800 17100 17400 17700 18000 18370 20320 22480 25120 16 22200 22656 23100 23556 24000 24490 27060 29970 33500 18 25800 26256 26700 27156 27600 28160 31160 34470 38520 20 44400 45300 46200 47100 48000 49280 54530 60323 67410 24 76560 78120 79655 81216 82800 30 130,181 132,446 134,682 136,954 139,263 BX2001 BX2001 - TriFlex Metal Seat (1000 Deg. F) Size 0 10 20 50 2 445 623 741 3 495 692 823 4 870 915 6 1580 8 10 100 200 300 355 780 913 1170 1397 1490 867 1014 1300 1552 1656 945 1020 1193 1530 1826 1948 1658 1710 1836 2111 2621 3060 3213 3010 3163 3265 3519 4029 4998 5814 6120 5510 5756 5920 6324 7140 8670 9792 10200 12 8160 8619 8925 9690 11118 13668 13804 15470 14 16800 17400 18000 20030 23100 30560 43640 55303 16 22200 23100 24000 26710 30800 33160 48850 63700 18 25800 26700 27600 30620 35160 49700 70230 87950 20 44400 46200 48000 52054 59772 84490 1.00E+05 1.00E+05 24 76560 79655 82800 30 134,707 135,238 140,715 ANSI Class 150# and 300# Series Triflex Metal Seat (800°F) BX2001 Butterfly Valve Shut Off Pressure (psig) 38 410 ANSI Class 150# and 300# Series Triflex Metal Seat (1000°F) BTV Valve Flurocarbon Lined Butterfly Valves 150 psi Cv Valve Size 2 3 4 6 8 FL2 Xt 10 12 14 16 18 20 24 FL2 Xt Pipe Size 2-3 3-6 4-8 6 - 10 8 - 12 10 - 14 12 - 16 14 - 18 16 - 20 18 - 22 20 - 24 24 - 30 30deg. 3 9 16 42 92 0.74 0.51 152 233 282 372 474 586 655 0.65 0.51 40deg. 50deg. 45deg.=50%Open 8 16 28 55 47 94 122 243 268 535 0.75 0.75 0.53 0.54 443 885 676 1353 820 1639 1080 2160 1379 2757 1703 3406 1926 3852 0.66 0.67 0.53 0.54 Degrees Open 60deg. 70deg. 25 85 146 376 827 0.76 0.53 1368 2091 2533 3338 4261 5263 6642 0.70 0.53 43 148 253 653 1435 0.69 0.48 2373 3628 4395 5792 7393 9132 11452 0.47 0.48 80deg. 69 234 399 1033 2269 0.59 0.44 3754 5739 6953 9163 11695 14446 18177 0.39 0.44 90deg. 100% open 93 316 540 1396 3068 0.51 0.40 5075 7758 9400 12387 15810 19530 24564 0.30 0.40 See torque tables on next page. 39 BTV Valve Fluorocarbon Lined Butterfly Valves 150 psi Series Clean / Clear Service* SIZING TORQUES (Inch - lbs.) VALVE SIZE 2 3 4 6 8 10 12 14 16 18 20 24 O-100 360 420 720 1440 1800 3600 4800 6900 9000 10920 12500 20270 SHUT OFF PRESSURE (psi) 125 360 420 720 1440 1800 3600 4800 7560 9960 11400 12960 21280 150 360 420 720 1440 1800 3600 4800 8160 10920 12000 13440 21800 *For slurry service, multiply torque values above by 1.35. BUV Valve UHMWPE Lined Butterfly Valves 150 psi Series Clean / Clear Service* SIZING TORQUES (Inch - lbs.) VALVE SIZE 2 3 4 6 8 10 12 14 16 18 20 24 0 100 648 756 1296 3110 3888 6480 8640 13200 19200 24000 30000 48385 SHUT OFF PRESSURE (psi) 125 648 756 1296 3110 3888 6480 8640 14040 21960 30000 38400 59030 150 648 756 1296 3110 3888 6480 8640 14880 24000 39600 45600 68475 *For slurry service, multiply torque values above by 1.35. 40 Atomac AKH3 Valve Standard Port Ball Valve FEP & PFA Lined Cv % Of Rotation, 0-100% 50 60 2.9 4.7 4.0 6.6 14.3 23.8 16.1 26.7 52 87 71 118 148 245 330 548 252 419 Valve Size 1 1.5 2 3 4 6 8 10 12 10 0.3 0.5 1.7 1.9 6.3 8.6 17.7 39.6 30.3 20 0.6 0.9 3.1 3.5 11.5 15.7 32.5 72.6 55.5 30 1.0 1.4 5.2 5.8 18.9 25.7 53.2 118.8 90.9 40 1.7 2.4 8.6 9.7 31.5 42.8 88.7 198.0 151.5 Fl2 0.94 0.94 0.92 0.88 0.82 Xt 0.16 0.64 0.64 0.72 0.79 70 7.9 11.1 39.8 44.7 146 198 411 918 702 80 12.2 17.0 61.0 68.6 223 304 630 1406 1075 90 22.0 30.7 110 124 404 549 1139 2542 1944 100 36.7 51.3 184.1 206 675 917 1902 4245 3246 0.79 0.75 0.67 0.57 0.5 0.61 0.51 0.37 0.24 0.16 Atomac AKH3V Valve V-Port Ball Valve FEP & PFA Lined See torque tables next page. Atomac CAKH3 Valve C-Ball Standard Port Ball Valve FEP & PFA Lined Valve Size 1 1.5 2 3 4 FL2 Xt 10 0.29 0 0 0 0 0.96 0.23 20 0.47 0 3.2 2.2 7.3 0.96 0.39 Cv 30 0.79 0.87 8.8 9.6 25.3 0.95 0.64 40 1.4 3.5 19.3 21.2 60.6 0.94 0.75 % Of Rotation 0-100% 50 60 70 2.4 4 6.7 8.75 13.5 21.1 28.0 45.2 70.6 36.8 51.8 79.6 107.6 170.5 269 0.93 0.86 0.73 0.73 0.64 0.49 80 11.2 34.3 107 107 373 0.64 0.33 90 18.7 46.5 151 168 652 0.56 0.28 100 31.2 46.5 151 168 652 0.45 0.28 See torque tables next page. 41 Atomac AKH3 - Actuator Sizing Torques Packing material: Chevron PTFE or PTFE-graphite For clean and clear application Size 1" 1½" 2" 3" 4" 6" 8" 10" 12" 14" 0 bar Δ p Nm 7 7 20 27 59 79 210 480 480 600 0 psi Δ p in-lbs 62 62 177 239 522 699 1859 4248 4248 5310 10 bar Δ p Nm 7 8 27 34 85 119 300 700 700 1430 150 psi Δ p in-lbs 62 71 239 301 752 1053 2655 6196 6196 12657 19 bar Δ p Nm 8 8 34 45 108 158 360 900 900 1760 275 psi Δ p in-lbs 71 71 301 398 956 1398 3186 7966 7966 15577 MAST Nm in-lbs 40 40 115 130 420 420 1107 2180 2180 8355 354 354 1018 1151 3717 3717 9798 19295 19295 73948 For dry and slurry application Size 0 bar Δ p Nm 1" 1½" 2" 3" 4" 6" 8" 10" 12" 14" 9 9 26 35 77 103 273 624 624 780 - 42 0 psi Δ p in-lbs 81 81 230 311 679 909 2416 5523 5523 6904 10 bar Δ p Nm 9 10 35 44 111 155 390 910 910 1859 150 psi Δ p in-lbs 81 92 311 391 978 1369 3452 8054 8054 16454 19 bar Δ p Nm 10 10 44 59 140 205 468 1170 1170 2288 275 psi Δ p in-lbs 92 92 391 518 1243 1818 4142 10355 10355 20251 MAST Nm 40 40 115 130 420 420 1107 2180 2180 8355 in-lbs 354 354 1018 1151 3717 3717 9798 19295 19295 73948 The use of ceramic balls in lined valves will result in 15% higher sizing torques Stated torques are sizing torques. No further safety factors are to be applied against these torques Stated sizing torques are "Break-Open “and "Re-Seating“ torques. Running torques are typically 35% below sizing torques The stated "MAST“ value is the Maximum Allowable Stem Torque. Beyond this value permanent deformation / destruction of liner is to be expected. Please note the service condition of the pressure-temperature diagram Atomac AKH2* Valve Full Port Ball Valve FEP & PFA Lined Cv Valve Size .5 .75 1 1.5 2 3 4 6 8RP 8FP 10 12 FL2 Xt Cv At Full Open 19.6 28.4 44.9 141 232 611 1093 2480 1745 4581 6074 8823 .14 .30 See torque tables next page. *See page 46 for AKH2A data. Note: Some documents refer to Atomac capacities in Kv To convert: Kv = 0.86 x Cv Cv = 1.16 x Kv 43 Atomac AKH2 - Actuator Sizing Torques Packing material: Chevron PTFE or PTFE-graphite For clean and clear application Size 015 020 025 032 040 050 065 080 100 150 200RP 200FP 250 300 350 ½" ¾" 1" 1 ¼” 1½" 2" 2.5” 3" 4" 6" 8"RP 8"FP 10" 12" 14" 0 bar Δ p Nm 7 7 7 20 20 27 51 59 79 210 210 480 600 1150 2200 0 psi Δ p in-lbs 62 62 62 177 177 239 451 522 699 1859 1859 4248 5310 10178 19472 10 bar Δ p Nm 150 psi Δ p in-lbs 19 bar Δ p Nm 275 psi Δ p in-lbs 7 7 8 27 27 34 73 85 119 300 300 700 1430 2400 3300 62 62 71 239 239 301 646 752 1053 2655 2655 6196 12657 21242 29207 8 8 8 34 34 45 93 108 158 360 360 900 1760 2900 4200 71 71 71 301 301 398 426 956 1398 3186 3186 7966 15577 25667 37173 10 bar Δ p Nm 150 psi Δ p in-lbs 19 bar Δ p Nm 275 psi Δ p in-lbs 9 9 10 35 35 44 95 111 155 390 390 910 1859 3120 4290 81 81 92 311 311 391 840 978 1369 3452 3452 8054 16454 27614 37970 10 10 10 44 44 59 121 140 205 468 468 1170 2288 3770 5460 92 92 92 391 391 518 1070 1243 1818 4142 4142 10355 20251 33367 48325 MAST Nm in-lbs 40 40 40 115 115 130 420 420 420 1107 1107 2180 8355 13250 13250 354 354 354 1018 1018 1151 3717 3717 3717 9798 9798 19295 73948 117272 117272 For dry and slurry application Size 015 020 025 032 040 050 065 080 100 150 200RP 200FP 250 300 350 ½" ¾" 1" 1 ¼” 1½" 2" 2.5” 3" 4" 6" 8"RP 8"FP 10" 12" 14" 0 bar Δ p Nm 9 9 9 26 26 35 66 77 103 273 273 624 780 1495 2860 0 psi Δ p in-lbs 81 81 81 230 230 311 587 679 909 2416 2416 5523 6904 13232 25313 Nm in-lbs 40 40 40 115 115 130 420 420 420 1107 1107 2180 8355 13250 13250 354 354 354 1018 1018 1151 3717 3717 3717 9798 9798 19295 73948 117272 117272 - Stated torques are sizing torques. No further safety factors are to be applied against these torques. - The use of ceramic balls in lined valves will result in 15% higher sizing torques. - The use of C-Balls or V-Balls does not result in change in sizing torques. - Stated sizing torques are "Break-Open“ and "Re-Seating“ torques. Running torques are typically 35% below sizing torques. - The stated "MAST“ value is the Maximum Allowable Stem Torque. Beyond this value permanent deformation / destruction of liner is to be expected. 44 MAST - Please note the service conditions of the pressure- temperature diagrams - RP=Reduced Port FP=Full Port Atomac AKH5 Valve Full Port Ball Valve Ceramic Lined Cv Valve Size 1 1.5 2 3 4 FL2 Xt Cv At Full Open 50.4 137 227 597 948 .14 .30 Atomac AKH5 Valve Full Port Ball Valve Ceramic Lined (Liner & Ball)* Clean / Clear Service Valve Size 1 1.5 2 3 4 SIZING TORQUES (Inch - lbs.) Shut-Off Pressure (psig) 0 150 275 27 31 44 53 84 93 97 186 221 443 841 1106 487 1106 1460 *For metal stems only, contact factory for ceramic stem torques. Atomac AKH5 Valve Full Port Ball Valve Ceramic Lined (Liner & Ball)* Slurry Service SIZING TORQUES (Inch - lbs.) Shut-Off Pressure (PSIG) Valve Size 0 150 275 1 50 81 134 1.5 100 175 306 2 181 412 750 3 825 2062 3650 4 925 2625 3937 45 Atomac AKH2A Valve Full Port Ball Valve FEP & PFA Lined Cv Valve Size 1 1.5 2 3 4 6 FL2 Xt Cv At Full Open 54.1 148 235 590 1108 1834 .14 .30 Atomac AKH2A - Actuator Sizing Torques Packing material: Chevron PTFE or PTFE-graphite For clean and clear application Size 1" 1½" 2" 3" 4" 6" 0 bar Δ p Nm 0 psi Δ p in-lbs 7 20 27 54 63 160 62 177 239 478 558 1416 10 bar Δ p Nm 8 27 34 67 97 240 150 psi Δ p in-lbs 19 bar Δ p Nm 71 239 301 593 859 2124 8 34 45 89 124 310 275 psi Δ p in-lbs 71 301 398 788 1097 2744 MAST Nm in-lbs 40 115 130 420 420 1107 354 1018 1151 3717 3717 9798 For dry and slurry application Size 1" 1½" 2" 3" 4" 6" 0 bar Δ p Nm 0 psi Δ p in-lbs 9 26 35 70 82 208 81 230 311 621 725 1841 10 bar Δ p Nm 10 35 44 87 126 312 150 psi Δ p in-lbs 19 bar Δ p Nm 92 311 391 771 1116 2761 92 391 518 1024 1427 3567 MAST Nm in-lbs 40 115 130 420 420 1107 354 1018 1151 3717 3717 9798 - Stated torques are sizing torques. No further safety factors are to be applied against these torques. - The use of ceramic balls in lined valves will result in 15% higher sizing torques. - The use of C-Balls or V-Balls does not result in change in sizing torques. - Stated sizing torques are "Break-Open“ and "Re-Seating“ torques. Running torques are typically 35% below sizing torques. - The stated "MAST“ value is the Maximum Allowable Stem Torque. Beyond this value permanent deformation / destruction of liner is to be expected. - 46 10 44 59 116 161 403 275 psi Δ p in-lbs Please note the service conditions of the pressure- temperature diagrams Atomac AKH6 Valve Tank Drain Ball Valve FEP & PFA Lined Valve Size 1x2 1.5 x 3 2x3 2 x4 2x6 3x4 4x6 6x8 FL2 Xt Cv At Full Open 37.3 135 80.7 77.5 70.3* 668 334 1389* 0.5 0.16 *estimated value AKH6 - Actuator Sizing Torques Packing material: For clean and clear application Size 025/050 025/100 040/080 050/080 050/100 050/150 080/100 080/150 100/150 150/200 150/250 1"/2" 1"/4" 1½"/3" 2"/3" 2"/4" 2"/6" 3"/4" 3'/6" 4"/6" 6"/8" 6"/10" 0 bar Δ p Nm 0 psi Δ p in-lbs 7 7 20 27 27 27 59 59 79 210 210 62 62 177 239 239 239 522 522 699 1859 1859 Chevron PTFE or PTFE-graphite 10 bar Δ p Nm 150 psi Δ p in-lbs 19 bar Δ p Nm 275 psi Δ p in-lbs 8 8 27 34 34 34 85 85 119 300 300 71 71 239 301 301 301 752 752 1053 2655 2655 8 8 34 45 45 45 108 108 158 360 360 71 71 301 398 398 398 956 956 1398 3186 3186 10 bar Δ p Nm 150 psi Δ p in-lbs 19 bar Δ p Nm 275 psi Δ p in-lbs 10 10 35 44 44 44 111 111 155 390 390 92 92 311 391 391 391 978 978 1369 3452 3452 10 10 44 59 59 59 140 140 205 468 468 92 92 391 518 518 518 1243 1243 1818 4142 4142 MAST Nm in-lbs 40 40 115 130 130 130 420 420 420 1107 1107 354 354 1018 1151 1151 1151 3717 3717 3717 9798 9798 For dry and slurry application Size 025/050 025/100 040/080 050/080 050/100 050/150 080/100 080/150 100/150 150/200 150/250 - 47 1"/2" 1"/4" 1½"/3" 2"/3" 2"/4" 2"/6" 3"/4" 3'/6" 4"/6" 6"/8" 6"/10" 0 bar Δ p Nm 9 9 26 35 35 35 77 77 103 273 273 0 psi Δ p in-lbs 81 81 230 311 311 311 679 679 909 2416 2416 MAST Nm 40 40 115 130 130 130 420 420 420 1107 1107 in-lbs 354 354 1018 1151 1151 1151 3717 3717 3717 9798 9798 Stated torques are sizing torques. No further safety factors are to be applied against these torques. The use of ceramic balls in lined valves will result in 15% higher sizing torques. The use of C-Balls or V-Balls does not result in change in sizing torques. Stated sizing torques are "Break-Open“ and "Re-Seating“ torques. Running torques are typically 35% below sizing torques Please note the service condition of the pressure-temperature diagram. The stated "MAST“ value is the Maximum Allowable Stem Torque. Beyond this value permanent deformation / destruction of liner is to be expected. Atomac AMP3 Valve 3-Way Ball Valve Cv values Valve Size AMP3 L AMP3 T 0° AMP3 T 90° Cv At Full Open Cv At Full Open Cv At Full Open 13.8 35.5 60 124 222 0.47 0.3 28.9 93.2 150 340 665 10.9 37.3 62.2 126 206 1 1.5 2 3 4 FL2 Xt Atomac AMP3-Actuator Sizing torques Packing material: Chevron PTFE or PTFE-graphite FEP & PFA Lined - Stated torques are sizing torques. No further safety factors are to be applied against these torques. - Stated sizing torques are "Break-Open“ and "Re-Seating“ torques. Running torques are typically 35% below sizing torques - Please note the service condition of the pressure-temperature diagram. - The stated "MAST“ value is the Maximum Allowable Stem Torque. Beyond this value permanent deformation / destruction of liner is to be expected All AMP3 Sizing Torques are for the Following Flow Arrangements: L Arrangement - Ports A or B to C T Arrangement - Port A to B & C or Port B to A & C Only. For all Others, Consult Factory. AMP3 PORT ARRANGEMENT A 48 C B Section Four 49 PRESSURE To accurately size control valves, we must fully understand the various pressure terms used in the instrument world. The pressure measurement identifications most frequently encountered in valve applications are: absolute pressure, gauge pressure, vacuum, and differential pressure. DEFINITIONS: a) ABSOLUTE PRESSURE -expressed "pounds per square inch absolute," or psia. b) GAUGE PRESSURE -expressed "pounds per square inch gauge," or psig. c) VACUUM -is a special case of gauge pressure; i.e., vacuum is negative gauge pressure or any pressure less than atmospheric pressure. d) DIFFERENTIAL PRESSURE-is the difference between two pressure points in a system and is expressed as P . Here are some basic relationships between gauge pressure, absolute pressure and vacuum. a) absolute pressure = atmospheric pressure + gauge pressure. b) absolute pressure = atmospheric pressure - vacuum. c) gauge pressure= -vacuum. EXAMPLES: 1. Convert 100 psig to absolute a) Pabs 100 14.7 114.7 at sea level b) Pabs 100 12.7 112.7 at 4,000 feet 2. Convert 20.36 in Hg Vacuum to psia a) Pgauge in Hg 20.36 psig 2.036 2.036 10 Pgauge = -vacuum = -10 psig vacuum b) Pabs = Patmos – vacuum Pabs = 14.7 – 10 psig = 4.7 psia at sea level Pabs = 12.7 – 10 psig = 2.7 psia at 4,000 feet 3. Convert 100 psia to psig a) Pabs = Patmos + Pgauge b) Pgauge = Pabs – Patmos Pgauge = 100 psi – 14.7 psia = 85.3 psig at sea level USEFUL EQUIVALENTS 1 US Gallon of Water = 8.33 pounds @ 60 0 F 1 Cubic Foot of Water = 62.34 pounds @ 60 0 F 50 1 Cubic Foot of Air = .076 pounds (Std. Pressure and temperature) 1 Pound of Air = 13.1 Cubic Feet (Std. pressure and temperature) Gas Molecular Weight =Specific gravity of that gas 29 Molecular Weight of Air = 29 Density = Specific Weight 1 Nautical Mile = Dist. Subtended By One Min. at Equator. 1 Light Band = 0.0000118” 1 Micron = 0.001 Millimeter 1 Micron = One Millionth of A Meter Big Calorie = 1 Kilogram: 1ºC. Little Calorie = 1 Gram: 1ºC. . xHt .inFeet Visibility in Miles = 15 1 Part Per Million = 0.0001 per cent 1 mil (Corrosion) = 0.001” Dia.( Inches) xRPM 229 321,000 xHP Torsional Shaft Stress (Pds/Sq. in.) = RPMxDia 3 ( Inches) Surface Speed (Rotating Shaft) In Feet/Sec. = MASS RATE Where: Standard conditions (scfh) are 14.7 psia and 60 0 F Normal conditions (norm) are 760 mm Hg and 0 0 C SG1 Water = 1 at 60 0 F SG2 Water = 1 at 4 0 C M = Molecular weight W 1 = Specific weight lb/ ft 3 (std.) W 2 = Specific weight kg/ m 3 (norm) G1 = Specific gravity air = 1 at (std. G 2 = Specific gravity air = 1 at (norm) GASES scfh (lb / hr ) x379 M scfh lb / hr W scfh 51 (lb / hr ) x131 . G1 m3 / hr (norm) ( kg / hr ) x22.40 M m3 / hr (norm) kg / hr W m3 / hr (norm) ( kg / hr ) x0.82 G LIQUID USgal / min lb / hr 500 xSG1 m3 / hr 0.001kg / hr SG 2 VACUUM EQUIVALENTS MILLIMETERS OF MERCURY INCHES IN (Torr)* PSIA MERCURY 14.7 29.92 760.0 1.0 2.04 51.7 0.49 1.0 25.4 0.0193 0.0394 1.0 0.000386 0.000787 0.020 0.0000193 0.000039 0.001 MICRONS 760,000 51,700 25,400 1,000 20 1 * Torr is another term that is the same as Millimeters of Mercury. TEMPERATURE Rapid Conversion of oC to oF: Degrees Celsius Kelvin 1-Double oC o 2-Deduct 10% C ºK o 3-Add 32 C K-273.15 o Rapid Conversion of oF to oC: C + 273.15 K o 1-Deduct 32 9/5 C + 32 9/5K-459.67 2-Divide by 1.8 9/5 oC + 491.67 9/5K 52 Degrees Fahrenheit o F o 5/9 ( F-32) 5/9 (oF+ 459.67) o F o F + 459.67 Degrees Rankine o R o 5/9 ( R-491.67) 5/9 oR o R -459.67 o R TABLE 5.1 PHYSICAL CONSTANTS Ratio Liquid/Gas Name Acetaldehyde Acetic Acid Acetone Acetylene Air Alcohol, Ethyl Alcohol, Methyl Ammonia Ammonium Chloride Ammonium Hydroxide Ammonium Sulfate Aniline Argon Arsene Beer Benzene Bromine Butane Butylene Butyric Acid Calcium Chloride Camphor Carbon Dioxide Carbon Disulfide Carbon Monoxide Carbon Tetrachloride Chlorine Chloroform Chromic Acid Cis-2-Butene Citric Acid Copper Sulfate Cyanogen Cydohexame Cyclopentane DichloromethaneDi-Isobutyl Ethane Ether Ethyl Chloride Ethylbenzene Ethylene Ferric Chloride Fluorine Formaldehyde Formic Acid Furfural 53 Formula CH3CHO HC2H302 C3H60 C2H2 N202 C2H60 CH40 NH3 NH4CL NH4OH (NH4)SO4 C6H7N A AsH3 C6H6 Br2 C4H1o C4H8 Specific Gravity 0.78 1.05 0.79 2.01 0.61 0.90 0.86 1.00 0.794 1.59 0.796 1.11 0.62 0.59 1.07 0.91 1.15 1.02 1.65 1.38 2.69 1.01 0.88 2.70 2.93 5.52 2.07 1.90 psia Critical Pressure 840 691 890 547 925 1,174 1,636 Critical Viscosity Temp. Centistokes R 830 0.295 1,069 1.17 915 0.41 555 239 930 1.52 923 0.74 730 0.30 770 705 1258 272 4.37 710 1,485 529 583 1012 1035 0.744 0.34 Specific Heats K psia Vapor Pressure Ambient Temp. 1.13 1.26 1.40 1.15 1.24 1.29 5.50 12.30 19.63 129.00 1.67 756 3.20 2.90 39.60 1.11 1.61 CaCl2 C10H160 C02 CS2 CO C Cl4 Cl2 CHCI3 H2CrO4 C4H8 C6H807 CuS04 (CN)x C5H12 C5H1o CH2CI2 C8H18 C2H6 (CaH5) 20 C2H5CI C8H1o C2H4 FeCI3 F2 H2CO C6H12O2 C5H402 1.23 0.801 1.29 0.80 1.59 1.42 1.49 1.21 0.63 1.54 1.17 1.52 2.63 0.97 5.31 2.45 1.94 0.75 2.42 0.70 0.36 0.74 0.90 0.87 3.94 1.05 2.55 3.67 0.97 1.23 1.11 1.31 0.82 1.08 1.23 1.16 1,072 1,071 507 661 1,119 793 548 994 240 1002 751 965 610 784 839 722 654 882 361 708 505 740 524 730 922 990 550 841 829 1111 509 809 260 501 1036 0.005 854.00 8.40 5338 2.70 100.00 4.80 1.30 0.298 0.612 1.35 0.38 1.11 46.00 9.9 1.18 0.668 1.23 1.25 1.10 800.00 12.50 27.10 0.37 765 300.00 1.48 TABLE 5.1 PHYSICAL CONSTANTS (Continued) Ratio 54 Name Formula Glycerin Glycol Helium Hexane Hexylene Hydrochloric Acid Hydrofluoric Acid Hydrogen Hydrogen Chloride Hydrogen Sulfide Iodine Iso-Butane [so-Butene Iso-Octane Iso-Prene Iso-Pentane Iso-Propyl-Alcohol Iso-Propyl-Benzene Krypton m-Xylene Magnesium Chloride Mercury Methane Methyl Cyclohexane Methyl Cyclopentane Methyl Bromide Methyl Chloride Milk n-Octane n-Butane n-Decane n-Heptane n-Hexane n-Nonane n-Pentane Napthalene Natural Gas Neohexane Neon Neopentane Nitric Acid Nitric Oxide Nitrobenzene Nitrogen Nitrogyl Chloride Nitrous Oxide C3H803 C2H602 He C6H14 C6H12 HCI HF H2 HCI H2S I2 C4H10 C4H8 C8H18 C5H8 C5H12 C3H8O C9H12 Kr C8H10 MgCI2 Hg CH4 C7H14 C6H12 CH3Br CH3Cl Liquid/Gas Specific Gravity 1.26 1.11 0.18 0.14 0.65 0.67 1.64 0.92 0.07 0.07 0.86 1.26 0.79 1.17 2.40 0.56 2.00 0.60 1.94 0.70 3.94 0.69 2.35 0.62 2.49 0.78 2.08 0.87 4.15 2.87 0.87 3.67 1.22 13.60 6.93 0.30 0.55 0.77 3.40 0.75 2.90 1.73 3.27 0.99 1.74 psia Critical Pressure Critical Temp. R 970 1,117 33 433 447 1,205 940 188 1,198 1,307 1,690 529 580 372 558 490 779 465 797 514 1,307 1,161 10 913 920 584 906 60 585 673 1,487 735 753 979 872 829 915 1,136 378 1,111 23,326 668 504 549 3,120 343 1,030 959 836 750 969 C8H18 C4H1o C10H22 C7H16 C6H14 CgH20 C5H12 C10H8 0.71 0.58 0.73 0.69 0.66 0.72 0.63 1.14 3.94 2.00 4.90 3.46 2.98 4.43 2.49 4.43 361 551 304 397 437 332 489 1,024 776 1,112 973 914 1,071 846 1,347 326 880 80 781 C6H14 Ne C5H12 HN03 NO 0.65 2.98 0.70 0.60 2.49 1.50 1.04 447 384 464 925 323 N2 NOCI N20 0.81 0.97 2.31 1.53 493 227 Viscosit y Centistokes 17.80 1.90 Specific Heats K 1.08 1.09 1.66 1.06 1.07 1.40 1.40 1.41 1.29 1.11 1.12 1.31 1.32 0.77 1.10 1.24 0.60 0.49 0.97 0.37 0.90 1.05 1.06 1.08 1.06 1.07 psia Vapor Pressure Ambient Temp. 0.0001 0.01 2651 2.03 2.63 559 15.90 628.00 267.00 0.01 72.20 63.40 1.70 17.00 20.40 743 0.19 2676 0.33 5,000 1.60 4.50 28.00 74.00 0.54 51.60 0.06 1.62 4.96 0.18 15.60 0.15 9.90 11,736 35.90 1.87 35,679 1.67 1,048 1.40 7,499 1.30 539 TABLE 5.1 PHYSICAL CONSTANTS (Continued) 55 Name Formula Liquid/Gas Specific Gravity o-Xylene Oil, Olive Oil, Vegetable Oxygen p-Xylene Phenol Phosgene Phosphine Phosphoric Acid Potassium Carbonate Potassium Chloride Potassium Hydroxide Propane Propene Propionic Acid Raden Refrigerant 1 1 Refrigerant 12 Refrigerent 13 Refrigerant 21 Refrigerant 22 Refrigerant 23 Silicon Tetrafluoride Sodium Chloride Sodium Hydroxide Sodium Sulfate Sodium Thiosulfate Starch Styrene Sulfuric Acid Sulfur Dioxide SulfurTrioxide Toluene Trans-2- Butene Triptane Turpentine Xenon Xyolene-o Water Zinc Chloride Zinc Sulfate 1 -Butene 1 -Pentene 1, 2-Butadiene 1. 3-Butadiene 2-Methylhexane 2-Methylpentane 2, 2-Dimethylpentane 2, 3-Dimethylbutane 3 -Eythlpentane C8H10 0.88 3.67 psia Critical Pressure 541 Critical Temp. R Viscosity Centistokes 1,135 Ratio Specific Heats K 1.07 93.00 O2 C8H10 C6H50H COCl2 PH3 H3PO4 K2CO3 KCI KO4 C3H8 C3H6 0.92 1.14 0.87 1.08 1.39 1.83 1.24 1.16 1.24 0.51 0.52 1.11 3.67 279 1,110 3.42 1.18 737 509 889 823 948 1.52 1.45 616 669 666 657 912 635 597 561 750 716 691 679 848 694 544 813 665 551 580 1,166 1.40 1.07 psia Vapor Pressure at Ambient Temp. 0.26 0.34 0.34 11.83 820 583 25.70 1.13 1.15 190.00 226.00 1.13 CCl3F CCl2F2 CCIF3 CHCl2F CHCIF CHF3 SiF4 NaCl NAOH Na2SO4 Na2S203 (C6H10O5 ) X C8H8 H2SO4 S02 S03 C7H8 C4H8 C7H16 5.04 4.20 3.82 28.40 85.20 473.70 23.40 137.50 650.00 0.27 3.62 1.19 1.27 1.24 1.23 1.50 0.91 1.83 1.39 0.87 0.61 0.69 0.87 Xe H20 ZnCI2 ZnSO4 C5H8 C5H10 C4H6 C4H6 C7H16 C6H14 C7H16 C6H14 C7H16 0.32 0.21 1.00 1.24 1.31 0.60 0.65 0.66 0.63 0.68 0.66 0.68 0.67 0.70 3.60 0.24 14.60 2.21 1,145 776 1.25 49.40 3.18 1.94 3.46 596 595 428 1,066 772 956 1.09 1.10 1.05 1.00 50.00 3.40 4.53 853 523 0.62 3,206 1,166 1.94 2.42 1.87 1.87 3.46 2.98 3.46 2.98 3.46 583 590 653 628 397 437 402 454 419 756 837 799 766 955 896 937 900 973 1.83 93.0 1.1 0.95 1.10 1.08 1.12 1.12 1.05 1.05 1.05 1.05 1.05 63.00 19.00 20.00 60.00 2.30 6.80 3.5 7.4 2.00 LIQUID VELOCITY DETERMINATION FIGURE 5.0 *Multiply velocity head value from chart by liquid specific gravity if specific gravity is other than one. NOTE: The internal diameter of the various pipe schedules may be found by noting the intersection of the diagonal line representing the nominal size of pipe with the vertical line representing the pipe schedule, then projecting horizontally to the D-scale. 56 Durco Teflon Seated Valves for Steam Service Many Durco Teflon seated valves are suitable for a wide variety of steam services. It is important, however, that modifications be made to some valve types. 1. Manual On / Off Service – clean saturated steam up to 100 PSIG inlet (337° F). 2. Automated On / Off Service – clean saturated steam up to 150 PSIG inlet (366° F). 3. Automated Throttling Service – clean saturated steam up to 150 PSIG inlet (366° F with a maximum P of 100 PSIG and the valve operating in the 40% to 60% open position.) Big Max Valves All Big Max valves can be applied as outlined above without any modifications. G4 and SG4 Valves All G4 and SG4 valves for use on any steam service must have the plug vented to the bottom cavity and have a glass filled sleeve. Modulating / throttling service valves should also utilize a V-port (EG / SEG) plug with the V-port installed upstream. Atomac, T4, BL and BTV Valves All Teflon lined valves are NOT recommended for steam service. Mach 1 Valves Mach 1 valves on steam have the same restrictions as the G4 and should use the full SLEEVE and NOT Port Seals. 57 TABLE 5.2 SATURATED STEAM PROPERTIES Vapor Pressure Absolute Vacuum psia psig Temp. Specific Wieight Lbs.cu ft Water Specific Gravity 29.51 29.41 29.31 29.21 29.11 29 28.9 28.7 28.49 28.29 28.09 27.88 27.48 27.07 26.66 26.26 25.85 25.44 25.03 24.63 24.22 23.81 22.79 21.78 20.76 19.74 18.72 17.7 16.69 15.67 14.65 13.63 12.61 11.6 10.58 9.56 7.52 5.49 3.45 1.42 53.14 59.3 64.47 68.93 72.86 76.38 79.58 85.21 90.08 94.38 98.24 101.74 107.92 113.26 117.99 122.23 126.08 129.62 132.89 135.94 138.79 141.48 147.57 152.97 157.83 162.24 166.3 170.06 173.56 176.85 179.94 182.86 185.64 188.28 190.8 193.21 19775 20196 205.88 209.56 0.000655 0.00081 0.000962 0.00111 0.00126 0.00141 0.00156 0.00185 0.00214 0.00243 0.00271 0.003 0.00356 0.00412 0.00467 0.00521 0.00576 0.0063 0.00683 0.00737 0.0079 0.00842 0.00974 0.011 0.0123 0.0136 0.0149 0.0161 0.0174 0.0186 0.0199 0.0211 0.0224 0.0236 0.0248 0.026 0.0285 0.0309 0.0333 0.0357 1 1 1 1 1 1 1 1 1 1 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.99 0.98 0.98 0.98 0.98 0.98 0.98 0.98 0.98 0.97 0.97 0.97 0.97 0.97 0.97 0.97 0.97 0.97 0.96 0.96 0.96 Vapor Pressure Absolute Guage psia psig 14.696 0 15 0.3 16 1.3 17 2.3 18 3.3 19 4.3 20 5.3 21 6.3 22 7.3 23 8.3 24 9.3 25 10.3 26 11.3 27 12.3 28 13.3 29 14.3 30 15.3 31 16.3 32 17.3 33 18.3 34 19.3 35 20.3 36 21.3 37 22.3 38 23.3 Temp. 212 213.03 216.32 219.44 222.41 225.24 227.96 230.57 233.07 235.49 237.82 240.07 242.25 244.36 246.41 248.4 250.33 252.22 254.05 255.84 257.58 259.28 260.95 262.57 264.16 Specific Wieight Lbs.cu ft 0.0373 0.038 0.0404 0.0428 0.0451 0.0474 0.0498 0.0521 0.0544 0.0567 0.059 0.0613 0.0636 0.0659 0.0682 0.0705 0.0727 0.075 0.0773 0.0795 0.0818 0.094 0.0863 0.0885 0.0908 Water Specific Gravity 0.96 0.96 0.96 0.96 0.96 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.95 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.6 0.7 0.8 0.9 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 11 12 13 14 58 Vapor Pressure Absolute Guage psia psig 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 24.3 25.3 26.3 27.3 28.3 29.3 30.3 31.3 32.3 33.3 34.3 35.3 36.3 37.3 38.3 39.3 40.3 41.3 42.3 43.3 44.3 45.3 46.3 47.3 48.3 49.3 50.3 51.3 52.3 53.3 54.3 55.3 56.3 57.3 58.3 59.3 60.3 61.3 62.3 63.3 64.3 65.3 66.3 67.3 68.3 69.3 70.3 71.3 72.3 73.3 74.3 75.3 76.3 77.3 78.3 79.3 80.3 81.3 82.3 83.3 84.3 85.3 86.3 87.3 88.3 89 90.3 91.3 92.3 93.3 94.3 Temp. Specific Wieight Lbs.cu ft Water Specific Gravity 265.72 267.25 268.74 270.21 271.64 273.05 274.44 275.8 277.13 278.45 279.74 281.01 282.26 283.49 284.7 285.9 287.07 288.23 289.37 290.5 291.61 292.71 293.79 294.85 295.9 296.94 297.97 298.99 299.99 300.98 301.96 302.92 303.88 304.83 305.76 306.68 307.6 308.5 309.4 310.29 311.16 312.03 312.89 313.74 314.59 315.42 316.25 317.07 317.88 318.68 319.48 320.27 321.06 321.83 322.6 323.36 324.12 324.87 325.61 326.35 327.08 327.81 328.53 329.25 329.96 330.66 331.36 332.05 332.74 333.42 334.1 0.093 0.0953 0.0975 0.0997 0.102 0.104 0.106 0.109 0.111 0.113 0.115 0.117 0.12 0.122 0.124 0.126 0.128 0.131 0.133 0.135 0.137 0.139 0.142 0.144 0.146 0.148 0.15 0.152 0.155 0.157 0.159 0.161 0.163 0.165 0.168 0.17 0.172 0.174 0.176 0.178 0.181 0.183 0.185 0.187 0.189 0.191 0.193 0.196 0.198 0.2 0.202 0.204 0.206 0.209 0.211 0.213 0.215 0.217 0.219 0.221 0.224 0.226 0.228 0.23 0.232 0.234 0.236 0.238 0.241 0.243 0.245 0.94 0.94 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.93 0.94 0.93 0.93 0.93 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.92 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.91 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 Vapor Pressure psia 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 205 210 215 220 225 230 235 240 245 59 psig 95.3 96.3 97.3 98.3 99.3 100.3 101.3 102.3 103.3 104.3 105.3 106.3 107.3 108.3 109.3 110.3 111.3 112.3 113.3 114.3 115.3 116.3 117.3 118.3 119.3 120.3 121.3 122.3 123.3 124.3 125.3 126.3 127.3 128.3 129.3 130.3 131.3 132.3 133.3 134.3 135.3 137.3 139.3 141.3 143.3 145.3 147.3 149.3 151.3 153.3 155.3 157.3 159.3 161.3 163.3 165.3 167.3 169.3 171.3 173.3 175.3 177.3 179.3 181.3 183.3 185.3 190.3 195.3 200.3 205.3 210.3 215.3 220.3 225.3 230.3 Temp. F 334.77 335.44 336.11 336.77 337.42 338.07 338.72 339.36 339.99 340.62 341.25 341.88 342.5 343.11 343.72 344.33 344.94 345.54 346.13 346.73 347.32 347.9 348.48 349.06 349.64 350.21 350.78 351.35 351.91 352.47 353.02 353.57 254.12 354.67 355.21 355.76 356.29 356.83 357.36 357.89 358.42 359.46 360.49 361.52 362.53 363.53 364.53 365.51 366.48 367.45 368.41 369.35 370.29 371.22 372.14 373.06 373.96 374.86 375.75 376.64 377.51 378.38 379.24 380.1 380.95 381.79 383.86 385.9 387.89 389.86 391.79 393.68 395.54 397.37 399.18 Specific Weight Lbs/cu ft 0.247 0.249 0.251 0.253 0.255 0.258 0.26 0.262 0.264 0.266 0.268 0.27 0.272 0.275 0.277 0.279 0.281 0.283 0.285 0.287 0.289 0.292 0.294 0.296 0.298 0.3 0.302 0.304 0.306 0.308 0.311 0.313 0.315 0.317 0.319 0.321 0.323 0.325 0.327 0.33 0.332 0.336 0.34 0.344 0.349 0.353 0.357 0.361 0.365 0.37 0.374 0.378 0.382 0.387 0.391 0.395 0.399 0.403 0.407 0.412 0.416 0.42 0.424 0.429 0.433 0.437 0.448 0.458 0.469 0.479 0.49 0.5 0.511 0.522 0.532 Water Specific Gravity 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.89 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.88 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.87 0.86 0.86 0.86 Vapor Pressure psia 250 255 260 265 270 275 280 285 290 295 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1050 1100 1150 1200 1250 1300 1350 1400 1450 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000 3100 3200 3206.2 psig 235.3 240.3 245.3 250.3 255.3 260.3 265.3 270.3 275.3 280.3 285.3 305.3 325.3 345.3 365.3 385.3 405.3 425.3 445.3 465.3 485.3 505.3 525.3 545.3 565.3 585.3 605.3 625.3 645.3 665.3 685.3 705.3 725.3 745.3 765.3 785.3 805.3 825.3 845.3 865.3 885.3 905.3 925.3 945.3 965.3 985.3 1035.3 1085.3 1135.3 1185.3 1235.3 1285.3 1335.3 1385.3 1435.3 1485.3 1585.3 1685.3 1785.3 1885.3 1985.3 2085.3 2185.3 2285.3 2385.3 2485.3 2585.3 2685.3 2785.3 2885.3 2985.3 3085.3 3185.3 3191.5 Temp. F 400.95 402.7 404.42 406.11 407.78 409.43 411.05 412.65 414.23 415.79 417.33 423.29 428.97 434.4 439.6 444.59 449.39 454.02 458.5 462.82 467.01 471.07 475.01 478.85 482.58 486.21 489.75 493.21 496.58 499.88 503.1 506.25 509.34 512.36 515.33 518.23 521.08 523.88 526.63 529.33 531.98 534.59 537.16 539.68 542.17 544.61 550.57 556.31 561.86 567.22 572.42 577.46 582.35 587.1 591.73 596.23 604.9 613.15 621.03 628.58 635.82 642.77 649.46 655.91 662.12 668.13 673.94 679.55 684.99 690.26 695.36 700.31 705.11 705.4 Specific Weight Lbs/cu ft 0.542 0.553 0.563 0.574 0.585 0.595 0.606 0.616 0.627 0.637 0.648 0.69 0.733 0.775 0.818 0.861 0.904 0.947 0.991 1.03 1.08 1.12 1.17 1.21 1.25 1.3 1.34 1.39 1.43 1.48 1.53 1.57 1.62 1.66 1.71 1.76 1.81 1.85 1.9 1.95 2 2.05 2.1 2.14 2.19 2.24 2.37 2.5 2.63 2.76 2.9 3.04 3.18 3.32 3.47 3.62 3.92 4.25 4.59 4.95 5.32 5.73 6.15 6.61 7.11 7.65 8.24 8.9 9.66 10.6 11.7 13.3 17.2 19.9 Water Specific Gravity 0.86 0.86 0.86 0.86 0.86 0.85 0.85 0.85 0.85 0.85 0.85 0.85 0.84 0.84 0.83 0.83 0.83 0.82 0.82 0.81 0.81 0.81 0.81 0.8 0.8 0.8 0.79 0.79 0.79 0.79 0.78 0.78 0.77 0.77 0.77 0.77 0.77 0.76 0.76 0.76 0.76 0.75 0.75 0.75 0.75 0.74 0.74 0.73 0.73 0.72 0.71 0.71 0.7 0.69 0.69 0.68 0.67 0.66 0.65 0.64 0.62 0.61 0.6 0.59 0.57 0.56 0.54 0.53 0.51 0.49 0.46 0.43 0.36 0.32 TEAM-VALUES OF "K" FIGURE 5.2 RATIO OF SPECIFIC HEAT AT CONSTANT PRESSURE TO SPECIFIC HEAT AT CONSTANT VOLUME K = Sp/Sv 60 FIGURE 5.1 SATURATED AND SUPERHEATED STEAM SPECIFIC WEIGHT vs. TEMPERATURE 61 COMPRESSIBILITY CHARTS FIGURE 5.3 COMPRESSIBILITY CHART NO. 1 Pr = P1/Pc Tr = T1/Tc 62 63 64 The following material is taken from : CONTROL VALVE SIZING Topic 3 BY L. R. Driskell Chemical Plants Division Dravo Corporation INSTUMENT SOCIETY OF AMERICA 400 Stanwix Street, Pittsburgh, PA. 15222 TERMINOLOGY BERNOULLI COEFFICIENT - In any stream, if the area is changed, as by a reducer, there is a corresponding change in the static pressure, or "head". This pressure change is measured in units of "velocity head". The dimensionless coefficient used for this purpose is the Bernoulli Coefficient KB. CHOKED FLOW - The condition which exists when, with the upstream pressure remaining constant, the flow through a valve cannot be further increased by lowering the downstream pressure. COEFFICIENT OF DISCHARGE - The ratio of actual flow to theoretical flow. It includes the effects of jet contraction and turbulence. COMPRESSIBILITY FACTOR - A factor used to compensate for deviation from the laws of perfect gases. If the gas laws are used to compute the specific weight of a gas, the computed value must be adjusted by the compressibility factor (Z) to obtain the true specific weight. COMPRESSIBLE - Capable of being compressed. Gas and vapor are compressible fluids. CRITICAL FLOW - This is a somewhat ambiguous term which signifies a point where the characteristics of flow suffer a finite change. In the case of a liquid, critical flow could mean the point where the flow regime changes from laminar to transitional. It is more often used to mean choked flow. In the case of a gas, critical flow may mean the point where the velocity at the vena contracts attains the velocity of sound, or it may mean the point where the flow is fully choked. CRITICAL PRESSURE - The equilibrium pressure of a fluid which is at its critical temperature. CRITICAL TEMPERATURE - The temperature of a fluid above which the fluid cannot be liquefied by pressure. INCOMPRESSIBLE - Liquids are referred to as being incompressible since their change in volume due to pressure is negligible. INCREASER - A pipe fitting identical to a reducer except specifically referred to for enlargements in the direction of flow. LAMINAR FLOW - Also known as viscous or streamline flow. A non-turbulent flow regime in which the stream filaments glide along the pipe axially with essentially no transverse mixing. This occurs at low Reynolds numbers, is usually associated with viscous liquids, and rarely occurs with gas flows in valves. Flow rate varies linearly with 6P. RANGEABILITY - Installed rangeability may be defined as the ratio of maximum to minimum flow within which the deviation from a desired installed flow characteristic does not exceed some stated limits. Inherent rangeability, a property of the valve alone, may be defined as the ratio of maximum to minimum flow coefficients between which the gain of the valve does not deviate from a specified gain by some stated tolerance. REDUCER - A pipe fitting which is used to couple a pipe of one size to a pipe of a different size. REYNOLDS NUMBER - A dimensionless criterion of the nature of flow pipes. It is proportional to the ratio of dynamic forces to viscous forces: The product of diameter, velocity and density, divided by absolute viscosity. 65 SPECIFIC HEAT - The ratio of the thermal capacity of a substance to that of water. The specific heat at constant pressure of a gas is designated cp. The specific heat at constant volume of a gas is designated cv. The ratio of the two (cp/cv = k) is called the Ratio of Specific Heats. STREAMLINE FLOW - See "Laminar Flow". TRANSITIONAL FLOW - A flow regime which lies between turbulent flow and laminar flow. TRANSITIONAL FLOW - A flow regime characterized by random motion of the fluid particles in the tranverse direction, as well as motion in the axial direction. This occurs at high Reynolds numbers and is the type of flow most common in industrial fluid systems. Flow varies as the square root of P. TURNDOWN - The ratio of the maximum plant design flow rate to the minimum plant design flow rate. VAPOR PRESSURE - The equilibrium pressure which would exist in a confined space over a liquid. VELOCITY OF APPROACH - A factor(F) determined by the ratio (m) of the valve orifice area to the inlet pipe area. VELOCITY HEAD - The pressure, measured in height of fluid column, needed to create a fluid velocity. Numerically velocity head is the square of the velocity divided by twice the acceleration of gravity (Ul/2g). VENA CONTRACTA - The place along the axis of flow, just beyond the orifice, where the jet stream contracts to its minimum cross-sectional area. VISCOUS FLOW – See “Laminar Flow” CATALOG OF EQUATIONS LIQUID (1) REMARKS q FPCV P G Turbulent and non-cavitating. w 63.3FPCV P (2) P KC( PI PV ) ________________________________________________________________________ (3) q FLPCV P1 PVC G w 63.3FLPCV ( P1 PVC) (4) Choked (5) PVC FFPV (6) V FF 0.96 0.28 P PC (7) iCd 2 FLP 1 K890 FL2 (8) q 52 P ( FSFPCV ) 2 1 2 P FL2 ( PI FFPV ) (See Eq. 25 for Ki ) 3 Laminar 66 (9) (10) PFd 2 FS FF LP 1 3 1 ( FLPCD)2 1 6 890 q FRFPCV P G Transitional(See Table III for FR ) GAS OR VAPOR –(ALL EQUATIONS: X FkXT ) (11) w 63.3FPCVY XP1 1 Using: Lb./Hr., Sp. Wt. (12) q 1360 FPCVP1Y GTX1Z Using: SCFH, Sp. G. (13) XM w 19.3FPCVP1Y T 1Z Using: Lb./Hr., Molecular Weight (14) X q 7320 FPCVP1Y MT 1Z Using: SCFH, Molecular Weight (15) Y 1 3FXKXT Expansion factor, lower limit =0.67 (16) FK k / 140 . Sp. Ht. Ratio factor (17) XT C1 2 0.84Cf 2 1600 Manufacturers’ Sizing Factors in current use. (18) XT XTP 2 Fp XTKiCd 2 1000 1 1 STEAM (DRY-SATURATED) (19) XT with reducers Error –5% for p1=20 to 1600 psia. X w FPCVP1 3 X XTP For X<XTP w 2 FPCVP1 XTP For X>XTP (Choked Flow) PIPING GEOMETRY FACTOR (20) KCd 2 FP 1 890 (21) K K (22) KB1 or KB2 = 1 67 1 1/ 2 See FLP for liquid choked flow(Eq.7) K 2 KB1 KB 2 d D Sum of velocity head coefficients 4 Bernoulli coefficient (23) d 2 K 1 0.51 D 2 d 2 K 2 10 . 1 D 2 Resistance coefficients for abrupt transitions (24) Resistance coefficients for abrupt transitions (25) Ki K1 KB1 Inlet fitting coefficients (For FLP Eq.7 and XTP Eq. 18) REFERENCE FORMULAS (26) 2 17300 Fdq FLPCD Re v 1 v FLPCV 890 (27) 2 FL' ( FL')2 FL (Cd ) 1 FP 890 1/ 4 Valve Reynolds Number 1 FL of valve/fitting assembly when FL of valve alone is FL' (28) q FPFyFRCV P G Composite liquid sizing equation (29) Fy FL P1 FFPV P Liquid choked flow factor VELOCITY-Feet/Second (30)Liquid U q 2.45D2 Lined Products Alloy Products 5 – 8 Normal 10 – 12 Max. 5 – 10 Normal 20 – 40 Max. (31)Gas U qT 694 PD2 All products 250 – 400 Typical (32)Vapor U w 19.6D2 See STEAM Recommendations, page 62 (33)Steam U 23w2 pD 68 0-25 psig 70-100 >25 psig >200 psig Superheated 100-170 115-330 ACOUSTIC VELOCITY-(Mach 1.0) (34)Gas Ua 223 kT M Recommend <0.3 Mach (35)Air Ua 49 T Recommend <0.3 Mach (36)Steam, Superheated Ua 60 T Recommend <0.15 Mach (37)Steam, Dry Saturated Ua 1650 Recommend <0.10 Mach (38)Vapor 69 Ua 681 . kpv Recommend <0.10 Mach NOMENCLATURE (Based on U.S. Units) SYMBOL DESCRIPTION a Area c Coefficient of discharge, dimensionless Cd Unit capacity of valve, Cv/d2 CD Unit capacity of valve assembly, Cv/D2 Cf Gas sizing factor used by some manufacturers Cv Valve sizing coefficient (See ISA-S39.2 and S39.4) C1 Gas sizing factor used by some manufacturers d Valve inlet diameter, inches D Pipe diameter, inches F Velocity of approach factor, 1/ 1 m2 , dimensionless Fd Valve style modifier, dimensionless FF Liquid critical pressure ratio factor, dimensionless Fk Ratio of specific heats factor, dimensionless FL Liquid pressure recovery factor, dimensionless FLP Combined FL and FP factors for valve with reducers, dimensionless Fp Piping geometry factor, dimensionless FR Reynolds number factor, dimensionless Fs Laminar, or streamline, flow factor Fy Liquid choked flow factor, dimensionless g Acceleration of gravity G Specific gravity (ratio of densities). For a liquid, G is taken at flowing temperature referred to water at standard condition (60F.). For a gas, G is referred to air, with both gases at standard conditions (14.73 psia and 60F.), dimensionless. k Ratio of specific heats of gas K Velocity head coefficient, dimensionless KB Bernoulli coefficient, I - (d/D )4 , dimensionless Kc Coefficient of incipient cavitation. [Actually the ratio p/(p1 - pv) at which cavitation measurably affects the coefficient Cv ], dimensionless KI Inlet velocity head coefficient (K1 + KB1 ), dimensionless K1 Resistance coefficient for inlet fitting, dimensionless K2 Resistance coefficient for outlet fitting, dimensionless M Molecular weight m Ratio of orifice area to pipe area, dimensionless p Absoulte static pressure, psia Thermodynamic critical pressure, psia pc Reduced pressure, p/ pc , dimensionless pr Vapor pressure of liquid at inlet temperature, psia pv q Volumetric flow rate, gpm or scfh Rev Valve Reynolds number, dimensionless T Absolute temperature( o F + 460 = o R) 70 Thermodynamic critical temperature, o R Reduced temperature, T/ Tc , dimensionless v Specific volume, ft 3 /lb. U Average velocity, ft./sec. W Weight rate of flow, lb./hr. X Ratio of pressure drop to absolute inlet static pressure, p / p1 ,dimensionless Pressure drop ratio factor, dimensionless XT Value of XT for valve/fitting assembly, dimensionless XTP Y Expansion factor. Ratio of flow coefficient for a gas to that for a liquid at the same Reynolds number, dimensionless Z Compressibility factor, dimensionless (gamma) Specific weight(weight per unit volume)lb./ ft 3 Difference(e.g. p = p1 - p2 ) (delta) (mu) Absolute viscosity, centipoise (nu) Kinematic viscosity, centistokes( /G) Summation (sigma) Tc Tr SUBSCRIPTS 1 2 A Vc 71 Upstream Downstream Acoustic Vena contracta This blank page is provided for your notes. 72