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Chapter 5: Pumps Rules of Thumb for Chemical Engineers, 5th Edition by Stephen Hall This Excel workbook includes Visual Basic for Application function subroutines. Macros must be enabled for them to work.

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Page 1: Pumps Calc

Chapter 5: PumpsRules of Thumb for Chemical Engineers, 5th Edition

by Stephen Hall

This Excel workbook includes Visual Basic for Application function subroutines.Macros must be enabled for them to work.

Page 2: Pumps Calc
Page 3: Pumps Calc

Inputs US UnitsPumped liquid WaterTemperature 86.0 F

Head pressure 0.0 psigDischarge pressure 0.0 psigLiquid height above datum 12.0 ftPump suction height above datum 1.5 ftPump discharge height above datum 23.0 Flow rate 180,000.0 lb/hSuction pipe inside diameter 4.0 inEquivalent length of suction pipe 27.0 ftDischarge pipe inside diameter 3.0 inEquivalent length of discharge pipe 150.0 ftRoughness 0.00015 ft

OutputSuction Pipe - Line 215Reynolds Number #VALUE!Friction Factor #VALUE!Pressure Drop due to friction #VALUE! psi

Discharge Pipe - Line 216Reynolds Number #VALUE!Friction Factor #VALUE!Pressure Drop due to friction #VALUE! psi

Vapor Pressure 0.62 psiaViscosity 0.81 cPDensity 62.56 lb/ft3

NPSH availableHead pressure 33.9 ft fluidFluid pressure 10.5 Friction loss #VALUE!Vapor pressure reduction (1.4)

#VALUE! ft fluid

Total Dynamic HeadSuction PressureHead pressure 33.9 ft fluidFluid pressure 10.5 ft fluidFriction loss #VALUE! ft fluid

Problem Statement:Create a System Curve and Pump Curves at 3600 rpm

Primary Input Variable

Page 4: Pumps Calc

Net Suction Pressure #VALUE! ft fluid

DischargeHead pressure 33.9 ft fluidFluid pressure 21.5 ft fluidFriction loss #VALUE! ft fluidNet Discharge Pressure #VALUE! ft fluid

Differential Pressure (TDH) #VALUE! ft fluid

To construct a system curve, calculate the TDH at a number of flow rates then plot on a Scatter ChartThis can be done by replicating the column of inputs and calculations in Column D (or Column G) several times, each with a different flow rate.Or, a simple macro can perform the task, shown below

Flow Rate TDH Flow Ratekg/h m fluid lb/h

5,000 3 25,000 10,000 3 50,000 20,000 4 75,100 30,000 5 100,200 40,000 7 125,200 50,000 9 150,300 60,000 12 175,400 70,000 15 180,500 80,000 18 200,500 90,000 22 220,500 100,000 26 240,500 110,000 31 260,500 120,000 36 280,500 130,000 42 300,500 140,000 48 320,500 150,000 55 340,500

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

Page 5: Pumps Calc

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

Page 6: Pumps Calc

SI UnitsWater

30.0 C

- kPa - gauge - kPa - gauge 4.0 m (0.5) m 7.0 m 80,800.0 kg/h 100.0 mm 8.5 m 75.0 mm 45.0 m

0.0000457 m

#VALUE!#VALUE!#VALUE! kPa

#VALUE!#VALUE!#VALUE! kPa

4.26 kPa 0.81 mPa-s 992.61 kg/m3

10.4 m fluid 4.5 m fluid

#VALUE! m fluid (0.4) m fluid

#VALUE! m fluid

10.4 m fluid 4.5 m fluid

#VALUE! m fluid

Page 7: Pumps Calc

#VALUE!

10.4 m fluid 7.5 m fluid

#VALUE! m fluid#VALUE! m fluid 0.283951

#VALUE! m fluid

To construct a system curve, calculate the TDH at a number of flow rates then plot on a Scatter ChartThis can be done by replicating the column of inputs and calculations in Column D (or Column G) several times, each with a different flow rate.

Goulds Pumps Model 3196, Size 3x4-7, 3560 rpmTDH TDH Flow Rate Impeller 5 5.5 6

ft fluid reduced Leq gpm gpm TDH 12 12 50 50 107 130 151 15 14 100 100 105 127 149 20 18 150 150 103 124 147 26 23 200 200 100 120.5 144 34 30 250 250 96 116 141 44 38 300 300 89 110 136 56 47 350 350 81 104 127 58 49 360 400 71 95 118 69 58 400 442 60 86 109 81 67 439 475 76 100 94 77 479 512 89 108 89 519 550 123 101 559 140 114 599 157 128 639 176 143 679

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

0 100 200 300 400 500 600 700 8000

60

120

180

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

This is the same calculation, but with the equivalent length of the piping reduced by 20% to take out the contingency

I68
This is the same calculation, but with the equivalent length of the piping reduced by 20% to take out the contingency
Page 8: Pumps Calc

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

0 100 200 300 400 500 600 700 8000

60

120

180

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 100 200 300 400 500 600 7000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

5 in

5.5 in

6 in

6.5 in

Equiv Length reduced 20%

Control Valve Pressure Drop

Page 9: Pumps Calc
Page 10: Pumps Calc

Goulds Pumps Model 3196, Size 3x4-7, 3560 rpm Efficiency Operating Point6.5 62% 67% 70%

gpm TDH gpm TDH gpm TDH gpm171170 360169167164 270 200 323 200 365 190159 260 170 313 162 360 180152 275 125 345 115 358 160143 300 100 375 101 385 138132 345 78 412 100 400 133123 400 76 450 105 425 130112 450 80 500 118 475 135100 500 88 550 132 530 154

0 100 200 300 400 500 600 700 8000

60

120

180

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 100 200 300 400 500 600 700 8000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

62% 67% 70%

Page 11: Pumps Calc

0 100 200 300 400 500 600 700 8000

60

120

180

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 100 200 300 400 500 600 7000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

5 in

5.5 in

6 in

6.5 in

Equiv Length reduced 20%

Control Valve Pressure Drop

0 100 200 300 400 500 600 700 8000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

62% 67% 70%

0 100 200 300 400 500 600 7000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

5 in

5.5 in

6 in

6.5 in

Equiv Length reduced 20%

62% 67% 70%

15 hp

20 hp

25 hp9.5 ft10 ft

11 ft12 ft

14 ft

Min. Flow

Page 12: Pumps Calc

Operating Point5.375" impeller 5 5.5 6 6.5

TDH gpm TDH Power0 123.9 8.6 107.2147 129.7298 154.3892 181.1929

80 115.9 120.4 10.5 104.186 126.0651 150.0279 176.0744231.9 112.6 12.1 97.43645 117.8981 140.3085 164.6676347.8 98.3 13.3 85.0622 102.9253 122.4896 143.7551

360 96.3 13.5 83.33153 100.8312 119.9974 140.8303463.8 72 14.3 62.30395 75.38778 89.71769 105.2937

0 100 200 300 400 500 600 700 8000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

62% 67% 70%

Page 13: Pumps Calc

0 100 200 300 400 500 600 700 8000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

62% 67% 70%

0 100 200 300 400 500 600 7000

60

120

180

System and Pump CurvesANSI Size 3x4-7 at 3560 rpm

Flow Rate, gpm

TDH,

ft fl

uid

5 in

5.5 in

6 in

6.5 in

Equiv Length reduced 20%

62% 67% 70%

15 hp

20 hp

25 hp9.5 ft10 ft

11 ft12 ft

14 ft

Min. Flow

Page 14: Pumps Calc

SensitivityAll at Flow Rate = 180000 lb/hCase TDH NoteBase 58.1 Remove piping contingency 48.5 Suction length = 19 ft; discharge length = 120 (0.17)Reduce tank level to 0 54.5 (0.06)Tank level 0 with contingency 64.1 0.10

Page 15: Pumps Calc

Minimum Flow Horsepower15 hp 20 hp 25 hp

gpm TDH gpm TDH gpm TDH gpm TDH

87 105 170 172 270 184 400 176113 176 250 140 350 157 450 158

300 125 450 121 500 137350 111 570 77 600 100400 98450 87500 76550 67

Page 16: Pumps Calc

NPSH required9.5 ft 10 ft 11 ft 12 ft 14 ftgpm TDH gpm TDH gpm TDH gpm TDH gpm

170 102 250 94 330 84 380 79 430200 125 300 135 360 103 415 100 470250 163 350 195 400 142 440 120 510270 182 438 188 460 140 540

476 160 575490 180

Page 17: Pumps Calc

TDH

6480

104128180

Page 18: Pumps Calc

Inputs US UnitsPumped liquid WaterTemperature 86.0 F

Head pressure 0.0 psigDischarge pressure 0.0 psigLiquid height above datum 12.0 ftPump suction height above datum 1.5 ftPump discharge height above datum 23.0 Flow rate 180,000.0 lb/hSuction pipe inside diameter 4.0 inEquivalent length of suction pipe 27.0 ftDischarge pipe inside diameter 3.0 inEquivalent length of discharge pipe 150.0 ftRoughness 0.00015 ft

OutputSuction Pipe - Line 215Reynolds Number #VALUE!Friction Factor #VALUE!Pressure Drop due to friction #VALUE! psi

Discharge Pipe - Line 216Reynolds Number #VALUE!Friction Factor #VALUE!Pressure Drop due to friction #VALUE! psi

Vapor Pressure 0.62 psiaViscosity 0.81 cPDensity 62.56 lb/ft3

NPSH availableHead pressure 33.9 ft fluidFluid pressure 10.5 Friction loss #VALUE!Vapor pressure reduction (1.4)

#VALUE! ft fluid

Total Dynamic HeadSuction PressureHead pressure 33.9 ft fluidFluid pressure 10.5 ft fluidFriction loss #VALUE! ft fluid

Problem Statement:Create a System Curve and Pump Curves at 1800 rpm

Primary Input Variable

Page 19: Pumps Calc

Net Suction Pressure #VALUE! ft fluid

DischargeHead pressure 33.9 ft fluidFluid pressure 21.5 ft fluidFriction loss #VALUE! ft fluidNet Discharge Pressure #VALUE! ft fluid

Differential Pressure (TDH) #VALUE! ft fluid

To construct a system curve, calculate the TDH at a number of flow rates then plot on a Scatter ChartThis can be done by replicating the column of inputs and calculations in Column D (or Column G) several times, each with a different flow rate.Or, a simple macro can perform the task, shown below

Flow Rate TDH Flow Ratekg/h m fluid lb/h

5,000 3 25,000 10,000 3 50,000 20,000 4 75,100 30,000 5 100,200 40,000 7 125,200 50,000 9 150,300 60,000 12 175,400 70,000 15 180,500 80,000 18 200,500 90,000 22 220,500 100,000 26 240,500 110,000 31 260,500 120,000 36 280,500 130,000 42 300,500 140,000 48 320,500 150,000 55 340,500

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

Page 20: Pumps Calc

Speed Control

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

q = ( n1n2 ) ( d1d2)ΔP1ΔP2

= ( n1n2 )2

( d1d2 )2

Page 21: Pumps Calc

For the selected impeller size, 8.6 inch, construct curves at different speedsSpeed, rpm 1770 1500 1250

gpm TDH gpm TDH gpm 25 83 21 59 18 50 82 42 59 35 100 81 85 58 71 150 79 127 57 106 200 75 169 54 141 250 71 212 51 177 300 64 254 46 212 325 61 275 44 230 350 57 297 41 247 375 53 318 38 265 400 48 339 34 282 425 41 360 29 300

Best Efficiency Point 292 74 279 65 236 47 197 32 158 21 118 12

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-8.6 inch impeller at Indicated Pump Speeds

Flow Rate, gpm

TDH,

ft fl

uid

BEP

1770 rpm

1500 rpm

1250 rpm

1000 rpm

750 rpm

System

q = ( n1n2 ) ( d1d2)ΔP1ΔP2

= ( n1n2 )2

( d1d2 )2

Page 22: Pumps Calc

SI UnitsWater

30.0 C

- kPa - gauge - kPa - gauge 4.0 m (0.5) m 7.0 m 80,800.0 kg/h 100.0 mm 8.5 m 75.0 mm 45.0 m

0.0000457 m

#VALUE!#VALUE!#VALUE! kPa

#VALUE!#VALUE!#VALUE! kPa

4.26 kPa 0.81 mPa-s 992.61 kg/m3

10.4 m fluid 4.5 m fluid

#VALUE! m fluid (0.4) m fluid

#VALUE! m fluid

10.4 m fluid 4.5 m fluid

#VALUE! m fluid

Page 23: Pumps Calc

#VALUE!

10.4 m fluid 7.5 m fluid

#VALUE! m fluid#VALUE! m fluid 0.283951

#VALUE! m fluid

To construct a system curve, calculate the TDH at a number of flow rates then plot on a Scatter ChartThis can be done by replicating the column of inputs and calculations in Column D (or Column G) several times, each with a different flow rate.

Goulds Pumps Model 3196, Size 3x4-10 at 1770 rpmTDH TDH Flow Rate Impeller 6 7 8

ft fluid reduced Leq gpm gpm TDH 12 12 50 25 37 51.5 70.5 15 14 100 50 36 51 70 20 18 150 100 34 49.6 69 26 23 200 150 30.5 46.5 66 34 30 250 200 26 43 63 44 38 300 250 20 38 58 56 47 350 300 12.5 30 51.5 58 49 360 325 26 48 69 58 400 350 44 81 67 439 375 94 77 479 400 108 89 519 425 123 101 559 450 140 114 599 157 128 639 176 143 679

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

This is the same calculation, but with the equivalent length of the piping reduced by 20% to take out the contingency

I68
This is the same calculation, but with the equivalent length of the piping reduced by 20% to take out the contingency
Page 24: Pumps Calc

- 20,000 40,000 60,000 80,000 100,000 120,000 140,000 160,000 -

10

20

30

40

50

60

System Curve

Flow Rate, kg/h

TDH,

m fl

uid

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 100 200 300 400 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

6 in

7 in

8 in

9 in

Equiv Length reduced 20%

Control Valve Pressure Drop

10 in

9.7 in

Page 25: Pumps Calc

1000 750TDH gpm TDH gpm TDH

41 14 26 11 15 41 28 26 21 15 41 56 26 42 15 39 85 25 64 14 38 113 24 85 14 35 141 23 106 13 32 169 20 127 12 30 184 19 138 11 28 198 18 148 10 26 212 17 159 9 24 226 15 169 9 20 240 13 180 7

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-8.6 inch impeller at Indicated Pump Speeds

Flow Rate, gpm

TDH,

ft fl

uid

BEP

1770 rpm

1500 rpm

1250 rpm

1000 rpm

750 rpm

System

Page 26: Pumps Calc
Page 27: Pumps Calc

Goulds Pumps Model 3196, Size 3x4-10 at 1770 rpm Efficiency9 9.7 10 70% 68% 65%

gpm TDH gpm TDH gpm TDH91 106.1875 115.3 239 110 215 115

90.5 105.75 114.9 238 100 210 10089.6 104.725 113.8 240 90 208 9087.7 102.2625 111 274 110 241 80 205 8083.5 98.9375 108.2 275 100 250 68 203 70

79 94 103 280 96 260 60 202 6372.5 87.8125 97 285 94 270 57 218 5069.5 84.8125 94 295 90 279 56 237 4465.5 81 90.3 303 89 300 59.5 262 42

62 77.1875 86.3 310 89 325 65 300 4358 73.25 82.4 325 90.3 350 73 325 45.5

68 78.5 330 90.6 375 80.5 375 5474.4 360 98 400 89 500 75

0.625

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

65%

68%70%

60%

55%

Page 28: Pumps Calc

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System Curve

Flow Rate, gpm

TDH,

ft fl

uid

0 100 200 300 400 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

6 in

7 in

8 in

9 in

Equiv Length reduced 20%

Control Valve Pressure Drop

10 in

9.7 in

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

65%

68%70%

60%

55%

0 100 200 300 400 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

6 in

7 in

8 in

9 in

Equiv Length reduced 20%

65%

68%

70%

3 hp5 hp

7.5 hp

2 ft 3 ft 4 ft 5 ft

6 ft

Min. Flow

10 in

10 hp

60%

55%

65% 68%

7 ft9.7 in

Page 29: Pumps Calc

Operating Point60% 55% 5.375" impeller

gpm TDH gpm TDH gpm TDH gpm TDH185 116 0 123.9181 105 360 80 115.9 120.4175 93 231.9 112.6168 80 347.8 98.3163 70 230 17.5 360 96.3160 63 275 21.5 463.8 72166 50 300 24175 37 325 26.5192 28 340 29212 26275 29360 38

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

65%

68%70%

60%

55%

Page 30: Pumps Calc

0 50 100 150 200 250 300 350 400 450 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

65%

68%70%

60%

55%

0 100 200 300 400 5000

20

40

60

80

100

120

System and Pump CurvesANSI Size 3x4-10 at 1770 rpm

Flow Rate, gpm

TDH,

ft fl

uid

6 in

7 in

8 in

9 in

Equiv Length reduced 20%

65%

68%

70%

3 hp5 hp

7.5 hp

2 ft 3 ft 4 ft 5 ft

6 ft

Min. Flow

10 in

10 hp

60%

55%

65% 68%

7 ft9.7 in

Page 31: Pumps Calc

Sensitivity5 5.5 6 6.5 All at Flow Rate = 180000 lb/h

Power Case TDH8.6 107.214710654408 129.7298 154.3892 181.1929 Base 58.1

10.5 104.186046511628 126.0651 150.0279 176.0744 Remove pip 48.5 12.1 97.4364521362899 117.8981 140.3085 164.6676 Reduce tank 54.5 13.3 85.0621957815035 102.9253 122.4896 143.7551 Tank level 64.1 13.5 83.3315305570579 100.8312 119.9974 140.830314.3 62.3039480800433 75.38778 89.71769 105.2937

Page 32: Pumps Calc

Minimum Flow HorsepowerAll at Flow Rate = 180000 lb/h 3 hp

Note gpm TDH gpm

Suction length = 19 ft; discharge length = 120 (0.17) 27 30 87 (0.06) 50 115 150 0.10 200

250300330

Page 33: Pumps Calc

Horsepower NPSH required5 hp 7.5 hp 10 hp 2 ft

TDH gpm TDH gpm TDH gpm TDH gpm TDH

58 85 87 87 115 260 107 141 13046 175 70 175 99.5 325 85 143 110

37.5 225 59.5 250 83 375 70.5 146 8028.5 275 48 300 69 438 55 147 6520.5 325 36 350 54.5 130 50

15 370 25 400 38.5 95 30

Page 34: Pumps Calc

3 ft 4 ft 5 ft 6 ft 7 ftgpm TDH gpm TDH gpm TDH gpm TDH gpm

237 125 290 121 337 120 376 110 425230 100 284 100 330 100 375 85 420224 80 281 80 328 80 350 52 390223 60 279 54 324 60 300 33 375220 46 250 38 300 43 250 20 325185 25 212 22 229 20 255

Page 35: Pumps Calc

TDH

100806050

34.518

Page 36: Pumps Calc

Valve CoefficientFluid density 62.56 lb/ft3

Flow Rate Pressure Drop Coefficientgpm ft fluid psi Cv

360 20 8.69 122.29 360 30 13.03 99.85 250 60 26.07 49.03

Check for CavitationVapor pressure -14.08 psigCritical pressure 218.3 atm 3209.01 psia

Flow Rate Upstream Pressuregpm ft fluid ft fluid ft fluid psi psi

360 36.6 83 119.6 51.96 38.93 5.07 360 36.6 83 63.8 27.73 19.04 4.81 250 37.5 96 133.5 58.00 31.93 2.77 250 37.5 96 93.8 40.77 14.70 2.10

Application and Valve Curves

Installation Curve Flow Rate Pump TDH System Valve Pressure Drop Coefficient Full Open

gpm ft fluid ft fluid ft fluid psi Cv Coefficient 0 107 12 - - - 117.60 50 106 15 90.75 39.43 7.97 117.60 100 105 20 85.05 36.95 16.47 117.60 150 102 26 76.16 33.09 26.11 117.60 200 99 34 64.70 28.11 37.77 117.60 250 94 44 49.85 21.66 53.79 117.60 300 88 56 32.02 13.91 80.54 117.60 360 80 58 21.63 9.40 117.60 117.60

Linear Globe Valve, Cv = 148 Flow Rate Pump TDH System Valve Pressure Drop Coefficient Full Open

gpm ft fluid ft fluid ft fluid psi Cv Coefficient 0 107 12 0.00 - - 148.00

Net Suction Pressure

Pump TDH

Downstream Pressure

Cavitation Index

Problem Statement:Size the control valve and create valve curves

Page 37: Pumps Calc

50 106 15 90.75 39.43 7.97 148.00 100 105 20 85.05 36.95 16.47 148.00 150 102 26 76.16 33.09 26.11 148.00 200 99 34 64.70 28.11 37.77 148.00 250 94 44 49.85 21.66 53.79 148.00 300 88 56 32.02 13.91 80.54 148.00 360 80 58 21.63 9.40 117.60 148.00

Equal Percentage Globe Valve, Cv = 136 Flow Ratio 50 Flow Rate Pump TDH System Valve Pressure Drop Coefficient Full Open

gpm ft fluid ft fluid ft fluid psi Cv Coefficient 0 107 12 0.00 - - 136.00 50 106 15 90.75 39.43 7.97 136.00 100 105 20 85.05 36.95 16.47 136.00 150 102 26 76.16 33.09 26.11 136.00 200 99 34 64.70 28.11 37.77 136.00 250 94 44 49.85 21.66 53.79 136.00 300 88 56 32.02 13.91 80.54 136.00 360 80 58 21.63 9.40 117.60 136.00

Page 38: Pumps Calc

Emerson method

Notes Ff FL

assuming 30 ft fluid press 0.25 0.956108 0.82 34.53902with valve located at pipe 0.32 18.2493with valve located at pum 0.45 38.59949with valve located at pipe 0.65 27.01292

flashing ifover 1

Ratio ofCoefficients

0.00 0.07 0.14 0.22 0.32 0.46 0.68 1.00

Valve Lift%

0.00

A Further reading includes the ISA recommended practice ISA-RP75.32.01 and  Instrument Engineer’s Handbook, 4th ed. Chapter 6.15.

Engineering Toolbox Cavitation Number

Max Pressure Drop

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0

60

120

180

240

300

360

Installation and Valve Curves

% Lift

Flow

Rat

e, g

pm

Equal Percentage Valve

Linear Valve

Installation Curve

Page 39: Pumps Calc

0.05 0.11 0.18 0.26 0.36 0.54 0.79

Valve Lift%

- 0.27 0.46 0.58 0.67 0.76 0.87 0.96

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0

60

120

180

240

300

360

Installation and Valve Curves

% Lift

Flow

Rat

e, g

pm

Equal Percentage Valve

Linear Valve

Installation Curve

Page 40: Pumps Calc

A Further reading includes the ISA recommended practice ISA-RP75.32.01 and  Instrument Engineer’s Handbook, 4th ed. Chapter 6.15.

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0

60

120

180

240

300

360

Installation and Valve Curves

% Lift

Flow

Rat

e, g

pm

Equal Percentage Valve

Linear Valve

Installation Curve

Page 41: Pumps Calc

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 0

60

120

180

240

300

360

Installation and Valve Curves

% Lift

Flow

Rat

e, g

pm

Equal Percentage Valve

Linear Valve

Installation Curve

Page 42: Pumps Calc

Inputs SI Units US UnitsInlet temperature 82.0 C 180.0 FInlet pressure 27.6 kPa-g 4.0 psigVapor pressure 52.2 kPa 7.6 psiaheat capacity 4.199 kJ/kgC 1.0 Btu/lbFdensity 970.0 kg/m3 60.6 lb/ft3Flow rate 0.0050 m3/s 79.3 gpmHead 20.0 m H2O 65.6 ft H2O

Pump parameters

Mfg/Model Goulds 3175Size 3x6-14Impeller 257-95NPSHr 1.5 m 5.0 ftEfficiency 28% 28%

OutputHyraulic power 0.952 kw 1.274 hp

Shaft power 3.40 kw 4.55 hp

Problem Statement:Calculate the hydraulic and shaft (brake) power of a pump

Page 43: Pumps Calc

Crane 2009Example 7-34 60.0 F

62.4 lb/ft3 700.0 gpm 428.0 ft

obtained from the pump manufacturer

70.70%

75.613 hydraulic hp

106.95 bhp

Page 44: Pumps Calc

hydraulic hp

(Crane answer is 107 bhp)

Page 45: Pumps Calc

Inputs SI Units US UnitsInlet temperature 82.0 C 180.0 FInlet pressure 27.6 kPa-g 4.0 psigVapor pressure 52.2 kPa 7.6 psiaheat capacity 4.199 kJ/kgC 1.0 Btu/lbFdensity 970.0 kg/m3 60.6 lb/ft3Flow rate 0.0050 m3/s 79.3 gpmHead 20.0 m H2O 65.6 ft H2O

Pump parameters

Mfg/Model Goulds 3175Size 3x6-14Impeller 257-95NPSHr 1.5 m 5.0 ftEfficiency 28% 28%Shaft power 0.1 kw 0.15 hp

OutputTemperature rise 0.004 C 0.006994 F

Problem Statement:Calculate the temperature rise through a centrifugal pump

Page 46: Pumps Calc

obtained from the pump manufacturer

Page 47: Pumps Calc

Inputs SI USPumped liquid Water WaterTemperature 30.0 C 86

Head pressure - kPa - gauge -

Liquid height above datum - m - Pump suction height above datum 3.6 m 12.0

Flow rate 80,800.0 kg/h 193,200.0 Suction pipe inside diameter 100.0 mm 4.0 Equivalent length of suction pipe 8.0 m 26.0 Roughness 0.0000457 m 0.00015

Property Correlations for all correlations, t = deg CVapor Pressure: log(mm Hg) = A - B / (t+C) Viscosity: ln(cP) = A + B / (C+t)

A B C An-Butane 6.81 935.86 238.73 (12.95)Propane 6.94 861.46 254.46 30.62 Water 8.01 1,701.79 231.47 (3.63)

OutputReynolds Number #VALUE! #VALUE!Friction Factor #VALUE! #VALUE!Pressure Drop due to friction #VALUE! kPa #VALUE!

Vapor Pressure 4.26 kPa 0.62 Viscosity 0.81 mPa-s 0.81 Density 992.61 kg/m3 62.56

NPSH availableHead pressure 10.4 m fluid 33.8 Fluid pressure (3.6) m fluid (12.0)Friction loss #VALUE! m fluid #VALUE!Vapor pressure reduction (0.4) m fluid (1.4)

#VALUE! m fluid #VALUE!

Problem Statement:Calculate the NPSH available with suction lift

Page 48: Pumps Calc

F

psig

ftft

lb/hinftft

Viscosity: ln(cP) = A + B / (C+t) Density: kg/m3 = m t + b Density: lb/ft3 = m t + bB C m b m b

13,089.6 1,152.98 (1.14) 600.14 (0.07) 37.07 102,599.9 (3,138.68) (1.40) 527.11 (0.08) 32.37 544.02 129.06 (0.46) 1,006.35 (0.06) 64.24

psi

psiacPlb/ft3

ft fluid

ft fluid

Water, 30 C

3.6

m (1

2 ft)

Atmosphere101 kPa

(14.7 psia)

Friction Loss0.6 m H2O(2 ft H2O)

dept

h

Page 49: Pumps Calc

Crane 2009Example 7-34

Water60 F

5.0 psig

10.0 ft 35.0 ft 400.0 gal/m 203,312 lb/h

0.26 psia 0.10 cP 63.37 lb/ft3

44.8 ft fluid (25.0) (6.0) ft fluid (given) (0.6) 13.2 ft fluid(Crane answer is 13.9 ft)

Page 50: Pumps Calc

Inputs SI USPumped liquid n-Butane n-ButaneTemperature 38.0 C 100.4

Head pressure 258.0 kPa - gauge 37.4

Liquid height above datum 3.4 m 10.0 Pump suction height above datum 1.0 m 2.0

Flow rate 8,700.0 kg/h 19,140.0 Suction pipe inside diameter 49.3 mm 1.9 Equivalent length of suction pipe 15.0 m 50.0 Roughness 0.0000457 m 0.00015

Property Correlations for all correlations, t = deg CVapor Pressure: log(mm Hg) = A - B / (t+C) Viscosity: ln(cP) = A + B / (C+t)

A B C An-Butane 6.81 935.86 238.73 (12.95)Propane 6.94 861.46 254.46 30.62 Water 8.01 1,701.79 231.47 (3.63)

OutputReynolds Number #VALUE! #VALUE!Friction Factor #VALUE! #VALUE!Pressure Drop due to friction #VALUE! kPa #VALUE!

Vapor Pressure 356.45 kPa 51.70 Viscosity 0.14 mPa-s 0.14 Density 556.84 kg/m3 34.38

NPSH availableHead pressure 65.8 m fluid 218.2 Fluid pressure 2.4 m fluid 8.0 Friction loss #VALUE! m fluid #VALUE!Vapor pressure reduction (65.3) m fluid (216.5)

#VALUE! m fluid #VALUE!

Problem Statement:Calculate the NPSH available with pressurized tank

Page 51: Pumps Calc

F

psig

ftft

lb/hinftft

Viscosity: ln(cP) = A + B / (C+t) Density: kg/m3 = m t + b Density: lb/ft3 = m t + bB C m b m b

13,089.6 1,152.98 (1.14) 600.14 (0.07) 37.07 102,599.9 (3,138.68) (1.40) 527.11 (0.08) 32.37 544.02 129.06 (0.46) 1,006.35 (0.06) 64.24

psi

psiacPlb/ft3

ft fluid 218.20

ft fluid

n-Butane38C (100F)

258 kPag(37.4 psig)

2.4

m (8

ft)

Friction Loss0.9 m H2O(3 ft H2O)

Page 52: Pumps Calc

Inputs SI USFluid waterFlow Rate 80,800 kg/h 180,000 Pipe ID 75 mm 3

PropertiesDensity 1,000 kg/m3 62.4 Bulk Modulus 2.15E+09 Pa 3.12E+05Conversion, gc 1.00 m/s2 32.17

Outputconvert bulk modulus units 44,928,000 Acoustic Velocity 1,466 m/s 4,813

Fluid Velocity 5.08 m/s 16.32

Pressure Spike 7,449 m fluid 2,442

1,057

Time 0.1Length 15Pressure Spike 152.22

Data Source: CRC, Handbook of Chemistry and Physics, 50th Edition, 1969

Liquid Temp, C m2/dyne x 10^11 Pa lb/in2Acetic Acid 20 9.08 1.10 1.60 Acetone 20 12.75 0.78 1.13 Aniline 20 4.53 2.21 3.21 Benzene 20 9.37 1.07 1.55 Benzene, chloro 20 7.45 1.34 1.94 n-Butyl alcohol 0 8.1 1.23 1.78 Carbon disulfide 20 9.26 1.08 1.57 Carbon tetrachloride 20 10.34 0.97 1.41 Chloroform 20 9.94 1.01 1.46 Cyclohexane 25 11.1 0.90 1.31 Dodecane 60 11.3 0.88 1.28 Ethyl alcohol 20 11.19 0.89 1.29 Ethyl bromide 20 12.94 0.77 1.12 Ethylene chloride 20 8.03 1.25 1.81

Problem Statement:Calculate water hammer pressure for fast closing valve

Page 53: Pumps Calc

Ethyl ether 20 18.65 0.54 0.78 Glycol 25 3.72 2.69 3.90 n-Heptane 25 14.24 0.70 1.02 1-Heptanol 0 7.05 1.42 2.06 n-Hexane 25 16.05 0.62 0.90 1-Hexanol 0 7.47 1.34 1.94 Mercury 20 0.4 25.00 36.26 Methyl alcohol 20 12.11 0.83 1.20 Methylene bromide 16.9 6.47 1.55 2.25 Methyl iodide 16.9 9.71 1.03 1.49 n-Octane 25 11.98 0.83 1.20 1-Octanol 0 6.82 1.47 2.13 n-Pentadecane 60 10.2 0.98 1.42 Phenol 60 6.05 1.65 2.39 n-Propyl alcohol 0 8.43 1.19 1.73 Toluene 20 8.96 1.12 1.62 Water 20 4.58 2.18 3.16 m-Xylene 20 8.46 1.18 1.71

Page 54: Pumps Calc

lb/hin

lb/ft3lb/in2ft/s2

lb/ft2ft/s

ft/s

ft fluid

psi

sft

Page 55: Pumps Calc

CENTRIFUGAL PUMPCLIENT EQUIP. NO PAGE

P-201 REV PREPARED BY DATE APPROVAL W.O. REQUISITION NO. SPECIFICATION NO.

0 1 UNIT AREA PROCURED BY INSTALLED BY2

Reactor Transfer Pump1 General2 Fluid Service Mother Liquor Pump Manufacturer TBD3 Number Required one Model Number TBD4 Pump Type ANSI AA Back Pullout Size 3x4-105 Location Indoor6 Process Data7 Fluid Pumped Water8 Normal Flow Rate gpm 360.0 Corrosive or Non-Corrosive non-corrosive9 Design Flow Rate gpm 360.0 Corrosive Compounds n/a10 Pumping Temperature deg F 86.0 Solids none11 Vapor Pressure @ P.T. psia 0.6 12 Viscosity @ P.T. cP 0.8 Hazards13 Specific Gravity @ P.T. water=1 1.0 14 Pumping Conditions15 Suction Discharge 16 Terminal Pressure psia 14.7 14.7 17 Static Head ft / psi 10.5 4.6 21.5 9.3 18 Equipment Loss (see sketch) ft / psi - - - - 19 Line Loss (per 100 equiv ft) ft / psi 6.8 2.9 30.5 13.2 20 Equiv. Line Length ft 27 15021 Safety Factor in Line Loss (%) 0% 0%22 Total friction Loss ft / psi 1.8 0.8 45.8 19.9 23 Control Valve ft / psi - - 20.0 8.7 24 Net Suction Pressure psia 18.5 25 NPSH available ft / psia 41.3 17.8 26 Total Discharge Pressure psia 52.6 27 Differential Pressure (TDH) ft / psi 79.0 34.1 28 Design Flow Rate gpm 360.0 2930 Mechanical Data31 Type Material Sketch32 Pump Head mfg std 316SS33 Impeller 9.7" diameter 316SS34 Shaft less sleeve 316SS35 Seal Single Mechanical carbon vs ceramic36 Baseplate fabricated 304SS3738 Connections Suction 1-1/2" ANSI RF Case Drn. plug39 Discharge 1" ANSI RF40 Electrical Data41 Area Classification Class 1 Group D Division 2 Enclosure TEFC42 Power Volts 460 Phases 3 Cycles 60 Frame 254T43 Horsepower Calculated 7.16 BHP 10.53 Nominal 15.0 RPM 177044 Efficiency 68%45 Notes46 Motor must be non-overloading at runout47 Fabricated baseplate sized to catch drips from pump, seal, or other components48 Provide 1-inch lip around baseplate so drips are contained49 Provide 3/4" hose bibb at low point of baseplate containment, with cap

505152

Page 56: Pumps Calc

CONTROL VALVESCLIENT EQUIP. NO PAGE

REV PREPARED BY DATE APPROVAL W.O. REQUISITION NO. SPECIFICATION NO.0 175001 UNIT AREA PROCURED BY INSTALLED BY2

1

GE

NR

L Tag No. FCV-2162 Service water3 Line No./Vessel No. 2164 Line Size/Sched 3 inch, Sched 405

BO

DY

Type of Body Globe6 Body Size Port Size 3 in 3 in7 Guiding No.of Ports Cage 28 End Conn. & Rating ANSI 150# flange9 Body Material Cast Iron10 Packing Material11 Lubricator Isolat Valve12 Bonnet Type13 Trim Form Linear14 Trim Mat'l Seat/Plug15 Shaft Mat'l16 Required Seat Tightnss17 Max Allow Sound Level18

AC

TUA

TOR

Model No. & Size19 Type of Actuator Air to close / spring20 Close at Open at21 Flow Action to open22 Fail Position open23 Handwheel & Location24

PO

SIT

.

Mfr & Model No.25 Filt Reg Gages Bypass26 Input Signal27 Output Signal28 Air Supply Pressure 95 psig29 Make & Model No.30 Input Signal31 Output Signal32

OP

TS

control at 360 gpm at no greater than 85% open3334

SE

RV

ICE

FLOW UNITS gpm35 Fluid water36 Quant Max Cv 360 12037 Quant Oper Cv 250 4838 Valve Cv Valve Fl > 14139 Norm In Press P psia 58 2640 Max Inlet Pressure > 60 psia41 Max Shutoff P psia 62 4042 Temp Max Operating 120 F 86 F43 Oper S.G. Mol. Wt. 1.00 1844 Oper Visc. % Flash 0.81 cP 045 % Superheat % Solids 0 046 Vap Press. Crit. Press psia 0.62 321047 Predicted Sound dBA48 Manufacturer49 Model No.50

TRA

N

DU

CR