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| موضوع: كتاب Mechanical Design of Process Systems - Volume 2 الإثنين 14 مارس 2022, 8:51 pm | |
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أخواني في الله أحضرت لكم كتاب Mechanical Design of Process Systems - Volume 2 Shell-and-Tube Heat Exchangers Rotating Equipment Bins, Silos, Stacks A.Keith Escoe Contents Foreword vii by John J. McKetta
و المحتوى كما يلي :
Preface ix Chapter 5 The Engineering Mechanics of Bins, Silos, and Stacks 1 Silo and Bin Design, I Stack Design, 8 Vortex Shedding and Frequency Responsc. Ovaling. Helical Vortex Breaker Strakes. Example 5-l: Granule Bin Design for Roofing Plant, 11 Bin Stiffener Design. Vcssel Supports. Example 5-2: High-Pressure Flare Stack Design, 20 Effective Diameters. Section Weights-Uncorroded weight. Required t Thickness. Anchor Bolt Design. Cantilever Vibration. Static Deflection. Dynamic Deflection. Anchor Bolt Torque. Design Summary. Example 5-3: Stack Vortex Strake Design, 27 Example 5-4: Natural Frequency of Ovaling Ring Formula (Michell Formula), 28 Notation,29 References, 29 Chapter 6 Rotating Equipment 31 Pumps, 31 Centrifugal Pumps. Hydraulic Requirements of Centrifugal Pumps. Positive Displacement Pumps. Pressure Protection for Positive Displacement Pumps. Compressors,43 Principles of Compression. Reversible Adiabatic (lsentropic) Compression. Polytropic Compression. Isothermal Compressron. Dimensionless Reference Numbers. Centrifugal Compressors. Reciprocating Compressors. \{ulriple Staging of Reciprocating Compressors. Cas Temperature for Reciprocating Compressors. Axial Flow Compressors. Specirying Compressor Flow Conditions. Mass Flow. Actual or lnlet Volumetric Flow. Standard Volumetric Flow. Properly Specifying Compressor Flow Conditions. Piping Systems for Rotating Equipment, 60 Nozzle Loadings. Pulsation Response Spectra Induced by Reciprocating Equipment, 62 Example 6-l: Horizontal Centrifugal Pump Sysrem Design, 65 Suction Line Pressure Drop. K-Values. Discharge Line Pressure Drop. The Effects of Liquid Viscosity on Centritugal Pumps. Example 6-2: Positive Displacement Pump Design,74 Suction Line Pressure Drop. K-Values. A word About Priming. Example 6-3: Centrifugal Compressor Selection, Example 6-4: Installing a Compressor at Elevation, 34 Selecting the Reciprocating Compressor. Example 6-5: Naphtha Pump System Design, 86 Flow from Reservoir to Naphtha Storage Tank. Naphtha Pump Hydraulics. The Maximum Capacity Condition. Reevaluation of Reservoir Line. Notation,9T References, 97 79Chapter 7 The Mechanical Design of Shell-and-Tube Heat Exchangers 99 Fundamentals of Shell-and-Tube Heat Exchangers,99 Design Classifications of Heat Exchangers. Fixed Tubesheet Shell-and-Tube Heat Exchangers. U-Tube Shell-and-Tube Heat Exchangers. Floating Head Shell-and-Tube Heat Exchangers. General TEMA Exchanger Classes-R, C, and B. Basic Components of Shell-and-Tube Heat Exchangers. TEMA Formulations. ASME TUbe Joint Load Criteria. Process Evaluation of Shell-and-Tirbe Exchangers, 115 Tube Wall Temperature and Caloric Temperaturc. Overall Heat Transfer Coefficient. Fouling of Inside and Ourside Tube Surfaces. Tube Film Coefficients. Tube Vibrations, 139 Plate-Fin Heat Exchangers, 147 Example 7-1: Regenerated Gas Exchanger Design, 148 Tube-Side Film Coefficient. Shell-Side Film Coefficient. Shell-Side Pressure Drop. Example 7-2: Vibration Check for Regenerated Gas Exchanger, 153 Example 7-3: Chlorine Superheater Design, 154 Tube-Side Film Coefficient. Shell-Side Film Coefficient. Shell-Sid€ Pressure Drop. TUbe Metal Temperature. Example 7-4: Asphalt Coating Mix Heater-A Non-Newtonian Fluid Application, 160 Tube-Side Film Coefficient. Shell-Side Film Coefficient. Shell-Side Pressure Drop. Example 7-5: Zero LMTD Exchanger, 165 Notation, 165 References, 166 Chapter 8 External Loadings on Shell Structures 169 Lifting Lug Design, 170 Example 8-1: Lifting Lug Design and Location, 170 Notation, 175 References, 176 Appendix A Partial Volumes and Pressure Vessel Cafcufations ,177 Partial Volume ofa Cylinder, 177 Partial Volume of a Hemispherical Head, 177 Partial Volumes of Spherically Dished Heads, 178 Partial Volumes of Elliptical Heads, 179 Partial Torispherical Heads, 181 Internal Pressure ASME Formulations with Outside Dimensions, 183 Internal Pressure ASME Formulations with Inside Dimensions, 184 Appendix B National Wind Design Standards . 187 Criteria for Determining Wind Speed, 187 Wind Speed Relationships, 188 ANSI A58.1-1982 Wind Categories, 189 Appendix G Properties ot Pipe . . . 193 Insulation Weight Factors, 200 Weights of Piping Materials, 201 Appendix D Conversion Factors . .225 Alphabetical Conversion Factors, 226 Synchronous Speeds, 233 Temperature Conversion, 234 Altitude and Atmospheric Pressures, 235 Pressure Conversion Chart, 236 Index American Society of Mechanical Engineers. See ASME. API, degrees for hydrometer, conversions, tables of, 92 defined,8T-88 ASME Section VIII Division I joint reliability factor, l13-l14 joint types for tubesheets. I l5 maximum tube joint force, ll3, 157 tube joint load criteria, 113 vessel code, 99, 101 Axial flow compressors aircraft, for, 59 airfoil blades for pitch, 58 size,58 applications of, 44, 58-59 characteristic curve for, 59 operating range of, 49 surge limit of, 59 Beams, boundary conditions for, continuous beams, 142 Bins arching (rathole, l-2, 6) critical dimension for, 3, 12 critical flow factor for, 4 critical hooper dimensions, 6 dead storage, 1-2 degradation flow condition, 1 design of, reasons for inefficiency, 1 flow, erratic, I flushing of, 1 funnel flow in, 1, 6, 8 hoop pressure in, rnaximum, 6 hooper angle, 3 mass flow in, 1, 3-4, 6, 8, 11 piping,3 angle of internal friction, 3-4, 6-7 angle of friction, effective, 6*7 critical flow factor for, 7 piping factor, 304 pneumatic gases in, 7 pressure vessels, differences from, 1 segregation, 1 shear stress, 1 solid flow, pressure distribution for, 8 steady flow, consolidating pressure for, 3 structural design, conical portions, rectangular, 17 frame detail, 20 stiffener design, 14-16 hoop force, 16 stresses in, 13- 14 truss design, 18-20 wall friction angle, 4-5 Blowers and fans, 59 Bulk solid properties bins, in, 1, 6 bulk density, 3, 6 critical dimensions of, 3 pressure of, consolidating, 4, 6-7 stresses, hooper wall, on, 3 solids, in, 3 typical values oi 7 yield strength, solid material, 3 Centrifu gal compressors actual, or inlet, flow rate, 80 advantages of, 43-44 affinity laws, 50 237Mechanical Design of Process Systems anti-surge devices for, 52 diagram of, 53 applications of, 49 compressibility curves for, 81 compressibility factor, significance of, 83 compression process, diagram of, 50 compression ratio of, 50, 80-81 discharge temperature average,80 dependence on ratio of specific heats, 83 frame data, typical, 80 gas, cyclic vibration of, 50-51 noise induced by, 50-51 gas inlet conditions, 50 impeller, 49 types of, 52, 52 inlet parameters, effect of varying. 52 intercoolers, sizing of, 50 mechanical losses of, 82 percentage of power required, 83 mixtures compressibility factors for, 79-81 specific heats for, 79 nncratinc 'arlo" 44 performance curves, typical, 51 polytropic head, 81 maximum per stage, 82-83 significance of, 83 polytropic relations for, 46-50 pressure versus capacity for constant speed compressor, 52 rpm, required, 82 selection of, 79-83 shaft power, required, expression for, 82 single stage, 49-50 specific heat ratio significance of, 83 stages, required number of, 82 standard cubic feet, use of, 52 surge,50 control of, 52 surge limits, 50, 52 temperature, discharge, 49-50 temperature ratio for, 81 volumetric flow, expression for, 80 Centrifugal pumps advantages of, 31 API hydrometer, conversion factors, table of, 92 defined, ST-88 bearings, 34 outboard type, 34 brake horsepower, 34, 36, 70, 9l required,96 shut-off, at, 36 by-pass for, 34, 36 casrngs, horizontally split, 32 vertically split, 32 advantages of, 32 components of, 33 efficiency of, 70 head, total, 36 heat dissipation in, 34, 36 intercooler for, 37 Hydraulic Institute, 68, 71-72 hydraulic requirements of, 34, 36-37 impeller, axial flow pump, for, 32 mixed flow pump, for, 32 vanes of, 32 radial type, 32 volute of, 32 net positive suction head (NPSH) definition of, 34 pressure pads for, 91 Newtonian fluids, 68 non-Newtonian fluids, 68, 79 packtng, 32 performance curves for, 34 typical, 69, 75, 95 pressure drop discharge line, for, 67 -68, 9l, 95-96 friction factor for, 66-67 , 89-91, 93, 95-96 suction line for, 65-66, 90-91,93,95,97 viscosity, effects of, 68, 70-72 seals,32 double seals criteria for use, 32 types of, 35 seal flush, 34 single seals types of, 35 versus double seals, 32 selection of, 70 total dynamic head, application of, 70, 74 types of, 31, 34-35 vaporization of pumped liquid, causes of, 34 viscous liquids, pumping of, 37 correction-factor curves, 37, 38-39 criteria for, 37 equivalent water-performance of, 37 water horsepower, 34, 36 defined, 36 Compression, ideal gas compressibility factor discharge, at, 45mean, 45 suction, at, 45 isentropic (reversible adiabatic), 46-49 adiabatic efficiencY, 46 energy, isentroPic, 46 polytropic efficiencY, 46 principles of, ff 44-48 real gas. compressibility factor. 44 Compressors acfm,59-60 advantages of, 59-60 conversion to, standard volumetric flow, 60 actual volumetric flow. See acfm' flow conditions, sPecifYing, 59 actual, or inlet flow, 59 mass flow, 59 standard volumetric flow, 59-60 mass flow, conversion to standard volumetric flow, 60 principles of comPression, 44-48 scfm, 59-60 specifing flow conditions, 59 acfm, exPression for, 60 actual, or inlet flow, 59 mass flow, 59 specific volume, exPression for, 60 standard volumetric f1ow, 59-60 standard volumetric flow compressibilitY factor, 59 conversion to actual or mass flow, 60 disadvantages of, 60 specific volume, exPression for, 59 'ttandard" condition, defined, 59-60 comparisons of various forms, 60 volume flow, equation for, 59 types of, 43 volume flow, exPression for, 59 External loading on shell structures applications of , l7Q-17 5 "critical value," 170 shell thickness, 170 Fans and blowers, 59 Flow of solids, problems of, 1-3 Gas compressibility tactor, 44 general gas law, 44 specific heat ratio for, 44 universal gas constant, 44, 59 Gear pumps, 37, 40 Heat transfer, convection of, air normal to cylindeq 126 Hydraulic Institute, 37 Hydraulics API hydrometer conversion factors, table of, 92 defined,8T-88 Internal pressure, stress concentration factor, 169 lsentropic comPression brake horsepower, 48 discharge temperatue, 48 head, adiabatic, 46 heat, mechanical equivalent of, 45 horsepower, ratio of isentroPic, 45 horsepower input for single stage, 45 ideal eas, 45 adia--batic efficiencY, 45 horsepower, isentropic, 45 mechanical efficiencY, 45 overall adiabatic efficiencY, 45 multistage,46 perfect gas, formulations for, 44 real gas, formulations for, 45 isentropic exPonent for, 45-46 relations, basic versus polytropic compression, 47 reversible,48 Jenike and Johanson method, 1-8 Lifting lug design, 170-175 choker angle for, 175 standard designs for, 171 L'Hospital's rule, 165 Ingarithmic mean temperature difference. See LMTD. LMTD, application of, 148-149, 154, 160, 162' t65 correction factot F, 117 -l2l multipass exchangers, variance in, 117 variance in shell and tube heat exchangers, 117 zero LMTD exchanger, 165 Multi-stage reciprocating compressors, 58 Non-Newtonian fluids, 162 Nozzle reinforcing pads disadvantage of pads, 170 pad width, maximum, 170 Nusselt number, 125-126, 156 Petroleum fractions API hydrometer for, 87-88 Plate-fin heat exchangers advantages of, 14724O Mechanical Design of Process Systems applications of, 99 disadvantages of, 147 illustrated, 149 Kays and London coefficients, 148 thermal shock and fatigue, 148 uses of, 147- 148 vacuum brazing of, 148 Polytropic compression efficiency overall polytropic, 48 polytropic vs. isentropic, 46-47 gas horsepower, 47 head, adiabatic, 47 horsepower, compressor (polytropic head), 48 perfect gas, for, 47 polytropic exponent, 46 polytropic head (compressor horsepower), 48 real gas, for, 47 relations, basic versus isothermal compression, 47 Positive-displacement pumps applications of, 31 brake horsepower, 77 definition of, 31 efficiency of, 77 pump selection, use in, 77 gear pumps, 37 , 40, 78 heat dissipation in, 43 intercooler, 43 temperature switch, 43 net positive suction head. See Pumps. performance curves for rotary gear pumps, 79 pressure drop suction line, 74 velocity heads, 74 pressure protection for, 42-43 priming of, 79 reciprocating pumps diaphragm pumps, 3l piston pumps, 31 nlrrnocr nrrmnc 1l rotary pumps cam pumps, 31 gear pumps, 31 lobe pumps, 31 screw pumps,31 types of, 37 vane pumps, 31 screw pumps, 40-41 vane pumps, 37 Prandtl number, 125,152, 156, 164 Pulsation response spectra compression bottles, 64, 65 typical,65 methods of predicting, 64 orifice plates, application of, 65 piping system excited by, 65 pulsation bottles. See Compressor bottles. pulsation dampener. See Compressor bottles. reciprocating equipment, induced by, 62, &-65 Southwest Research Institute, 64 Structural Dynamics Research Corporation, (scRc), 64 surge drums. See Compressor bottles. Pumps API degrees, defined, 87-88 calculation sheet for, 36, 70, 77 flow capacities of, 34 head, friction, 40 static discharge, 40 static suction, 40 total discharge, 40 total dynamic, 34, 40 total static, 40 total suction, 40 Hydraulic Institute, 68, 7 | -72 inline, nozzle loadings for, 61 lift static suction, 40, 42 for water maximum recommended, 43, 77 theoretical, 43, 77 total suction, 40, 42 motors, NEMA frame dimensions, 73 NPSH definition of, 34 pressure pads for, 91 priming of, 79 pump Hydraulic Design, calculation sheet, 36, 70,77, 93,95-96 pump selection guide, 32 types of, 3l uses of, 31 velocity heads, effect on pumps, 40 Reciprocating compressors adiabatic compression, work required for, 58 adiabatic exponent, 53 adiabatic expressions for, 44-46, 53 adiabatic process, 57 applications of, 43, 84-86 clearance capacity, effect of, 55 clearance pockets, 43 stop valve, 53 volumetric efficiency, effects on, 56 compressibility factors discharge, 58 inlet, 58fr lnder API 618, 61 API criteria, 61-62 NEMA. See Nozzle Loadings. nozzle loadings on, 61-62 allowable, defined, 61-62 NEMA,61_62 applications for, 61 options to, basic, 62 steam turbines, ideal expansion joint, 64 turbo-expanders, reasonable values for, 63 typical for in-line pumPs, 61 piping systems for, 60-65 pulsation bottles. Se? Pulsation response spectra. steam turbines, piping to, 62 surge drums. 'gee Pulsation response spectra Rotary pumps, types of, 37 Screw pumps, 40-41 Shell-and-tube heat exchangers advantages of, 99 ASME Section VIII Division I Code, 99, 101 ASME tube joint load criteria, 1 13- 1 15 joint reliability factor. I l3-l14 maximum tube joint force, 113 tube joint load, 113 baffle cuts, 111 baffle details, 111 baffle lanes, channel and head, 128 baffle plates, 99 baffle windows, 139 various schemes, 139 baffles annular orifices, 110 doughnut and disc tYPes, 110 flow direction, used for, 107 horizontally cut, 107, 109 longitudinal, 109 structural supports, as, 107 verticaliy cut, 107 vibration dampers, as, 107 baffle windows, Ill basic components of, 107 -112 caloric temperature, 117 , 122-123, 158 Kern relationships for, I22 caloric versus arithmetic rnean, 122 chlorine superheater design, 154- 160 chiller, 101 condenser, 101 deflexion or ligament efficiency, 158 design classifications of, 101 final condenser, 101 fixed tubesheet, 102-1O4 fixed tubesheet design, 100 floating heat exchangers 211 compressor horsepower, factors affecting, 53 compression ratio, 58, 84 compressor bottles. See Pulsation response spectra. cylinders, size of, 86 cylinder displacement, 86 diatomic gases, 57 discharge temperature, 85 efficiency, volumetric, 86 Neerken equation for, 86 gas temperature, exPression for, 58 horsepower, theoretical, 58 parameters affecting, 58 horsepower per million curves, 85 correction factors for, 85 intercoolers for, 84 multiple staging of, 58 advantages of, 58 compression ratio for, 84 cylinder size, 58 cylinders, number of, 58 flywheei, effect on, 58 torque, effect on, 58 operating range, 44 piston rod diameter, 86 polytropic exponent, 57 Chlumsky recommendations for, 57 pressure-volume diagram, 56 ratios of clearance volume to volume swept by piston,57 reciprocating compressor cycle, 53, 55 re-expansion process, 57 schematic of, 87 volumetric efficiency curves for determining, 57 expression for, 53, 57 for a perfect gas, 57 parameters that affect, 53, 57 theoretical,53 Regenerated gas exchanger design of, 148- 153 vibration check, 153- 154 Reinforcing pads (external loadings) pad width, maximum, 170 disadvantage of pads, 170 Reynolds number, 9, 66-67, 7 4, 89 -91, 93, 95 -96, t25-127, 140, 141, l5l-152, 156-157, 1U non-Newtonian fluid, Metzner-Reed, 162-163 versus drag coefficients for long circular cylinders, r42 Rotating equipment APr 611,61 APr 612, 61 API 617, 61242 Mechanical Design of Process Systems internal floating head design, 103-104 advantages of, 104 outside-packed floating head design, 103-104 operating range, 104 packed latern ring design, 103-1M operating range, 1M pull-through bundle design, 103- 104 limitations of, 104 types of, 103- 104 forced circulation reboiler, 101 fouling resistances, recommended minimum, 125 friction factors for, shell-side surfaces, 140 heat transfer bulk temperature of fluid, 125 continuity equation, 128 convection, basic expressions for, 115 factor jH, 129,138, 152, 157 film coefficients, shell-side, 128 Kern correlation, 128 fouling factors, 124 bare tubes versus finned tubes, 124 definition of, 124 versus thermal conductance, 124 fouling resistance, 124 Fourier's law of heat conduction, 116 Grimson equation, for film coefficient, 126 inside film coefficient, 122, 151 laminar, 125 turbuient, 125 laminar boundary layer. 125 modes of, 115 McAdams correlation, 125 outside film coefficient, lZZ, 126, 1,29 overall heat transfer coefficient, 152 caloric, 117, 122, 152, 157, 158 parameter jH, 129, 138 effective diameters for, 129 versus Reynolds number, 138 shell-side film coefficient, 151-152, 156, 163-t64 tube-side film coefficient, 151, i54-156 tube wall resistance, 124 turbulent boundary layer, 125 impingement baffles, i28 latent heat, I 16- 117 ligament or deflexion efficiency, 158 LMTD correction factor R 117- 121 multipass exchangers, variance in, 117 variance of, 117 overall heat transfer coefficient, 122 caloric, 117, 122, 152 partial condenser, 101 process evaluation of, 115-140 reboiler, 99, l0l kettle type, 99 regenerated gas exchanger design, 148-153 sensible heat, 116- 117 shell-side, defined, 99 shell-side equivalent, tube diameter, 129, 152, 156, 164 shell-side pressure drop, \39, 152-153,157, 164-165 expression for, 139, 152 shell-side mass density, 151 shell-side mass flow rate, G,, 139, 152-154, 156, I O-l Sieder-Thte correlation, laminar flow, for, 125, 162 turbulent flow, for, 125 steam generator, 101 TEMA class B exchanger, 99, lO4 class C exchanger, 99, 104 class R exchanger, 99, 104 comparisons of types, 105 mode constants for tubes, 112 natural frequencies of straight tubes, I 12- I l3 natural frequencies of U-tubes, 113 nomenclature of, 102 TEMA specification sheet, 150, i55 tubes, stress, allowable compressive, l12 tubesheets, compressive stress induced OD, lll thermosyphon reboiler, 101 tie rods TEMA recommendations for, 110 uses of, 110 tube arrangements, pros and cons of, 129 tube bundle, 99, 126, 128 flow area of, 152 Keys and London constants foq 129 tube bundle cross-flow arca, 128 staggered inline, for, 128 triangular layouts, for, 128 tube count tables, 130- 137 tube geometry angtlar pitch, 126-127 diamond-square pitch, 126 - 127 inJine square pitch, 126-127 inJine triangular pitch, 126-127 tubes bare, 107 bend radii, minimum, 109 boundary layer, 125 laminar, 125 turbulent, 125 buckling of{ 2rl:t Euler columl formula, 114 exchanger tubes, 113 Johnson short column equation, 1i4 finned, 107 foreign deposits, 124 inside film coefficient, 122 outside film coefficient, 122 pitch, nominal, 114 stress factors for, 159- 160 tabulated properties of, 108 tubesheets, 99 double tubesheets, 110 uses of, 110 maximum radial stresses in, 159 single tubesheets, 110 tubesheet-tube connections, typical, I 1 1 tubesheet layouts staggered in{ine, for, 128 triangular layouts, for, 128 typical, 128 tube-side defined, 99 tube-side mass flow rate, 151, 162 tube vibrations. See Tube vibrations. tube wall temperature, 117,122, 124 U-tube exchangers kettle type reboiler, 100 tubesheet fot 103 vaporizer, 101 vapor-liquid equilibrium calculations, I 17 vertical gas-gas exchanger, 151 Silos. See Bins. Specific diameter, 48 versus specific speed, 49 Specific speed, 48 versus specific diameter, 49 Stack design anchor bolt torque, 26-27 base support detail for, 27 carbon precipitation in, 8 buckling stress allowable, 22 deflection, dynamic, 26 deflection, static, 26 excitation, flexural, 9 flexural frequency, 9 lining of, 8 effect of, 8 gunite,8 modulus of elasticity of, 8 Michell and Love equation, 9, 28 ovaling,8-9 flexural modes of, 9 in-plane, 9 out-of-plane,9 modes of, 9 ovaling frequency. See Flexural frequencl - ovaling rings, 9, 26 natural frequency of, 9, 26 reasons for, 9 section modulus of, required, 9 pressure vessels, vertical differences bef$'een. 8 seismic response spectra, 8 vibration, cantilev er, 25 -26 vortex shedding frequency, 9, 26 vortex strakes, 9-11, 27 -28 clearances for, 11 critical wind velocities for, 10 fabrication detail of, 11 fabrication, method of, 11 helix angle of, 10 length of, 10 Morgan equation, 10, 28 radius of curvature of, l0 strake height, 10 range for, 10 wind design anchor bolt design for, 23 bearing pressure for, 23 base plate, Brownell and Young method, 24 chair design, Brownell and Young method, 24-25 compression rings, gusset plate thickness, required,25 effective diameters for, 20 weld, skirt-to-base ring, 25 wind load, 2l-22 wind moment, 21-22 wind pressure, 21 wind response spectra, 8 Steam turbines piping of, 62 Strouhal number, 9 Suction lift, IOr WAIe\ +5, I I TEMA class B exchanger, 99, 104 class C exchanger, 99, 104 class R exchanger, 99, 104 heat exchanger specification sheet, 150-161 mode constants for tubes, 112 natural frequencies of, straight tubes, 112- 113 U-tubes, 113 nomenclature for shell-and+ube heat exchangers. 102 standard, TEMA, 99, 104 TEMA types, composition of, 105 tie rods,244 Mechanical Design of Process Systems recommendations for, 1 10 uses of, 110 tube joint load formulations, 113 tubes, minimum bend radii, 109 stress, allowable compressive, I 12 tubesheets, compressive stress induced on, 111 Tube vibration baffle damage, modified damage number, 143, 153 baffle plate, illustrated, 143 displacements, inducing excessive, 143-144, t53-154 drag coefficients versus Reynolds number, 142 flow-induced vibration, 144 fluid vortices, force exerted on tubes, l4i jetting, or jet switching, 144 compared to turbulence, 146 cornpared to vortex shedding, 146 shear force on tube, l4l, 143, 153 shell-side fluid, velocity of, 141 maximum recommended, 148 Thorngren, John T., maximum velocity method, 139 tubes boundary conditions of continuous beams, 142 circle of contact, diameter of, 143 colliding of, 139 deflection oI, 141, 154 effective tube wall, 141 fatiguing of, 139 fluid force causing baffle impingement, 143 force coefficient, 146 fundamental natural frequency of, 146 natural frequency of, (Blevins formulation), 146, 154 shear of against baffles, 143 turbulence deflection, root-mean-square, 145 joint efficiency, 145 pressure distribution for, 144- 145 response spectra, 145 Wambsganss and Chen relation, 146 Venturi effect, 144 von Karman equation, 141 vortex shedding, 139, 144 compared to turbulence, 146 compared to whirling, 146 resonant frequency of, 141 vortex street, limits of, 141 vortices, breaking-up of, 141 whirling, 144 compared to turbulence, 146 compared to vortex shedding, 146 critical velocity, cxiteria of, 147 whirling parameter, for tube arrays, 148 Tubular Exchanger Manufacturing Association. See TEMA. Vane pumps, 37 Velocity heads (K-values), 66-68, 7 4, 88-89, 90-9 1 Vibration ovaling. Se€ Stack design. Rayleigh method for, 8. Also see Volume l. Viscosity absolute viscosity, 68 conversion to kinematic, 68 centrifugal pumps, effect on, 68, 70-72 converting centipose to SSU units, 74 kinematic,68 Vortex shedding, 8-9, 139, l4l,144, 146 Welding Research Council. See WRC. WRC 107 Standard, 169 WRC 297 Standard, 169
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