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NTPC DOCUMENT
Objectives -
To calculate the System Differential Pressure To determine the Net Positive Suction Head Avaliable in the system To determine the required Brake Horsepower To select a suitable Motor Horse Power rating for the Pump
Basics -
Diesel Transfer Pumps are positive displacement pumps Specific gravity of Diesel is 0.84 - 0.89; Used value is 0.85 Acceleration due to gravity is 9.81 m/s2 Hydraulic Diameter = 0.0508 m (2 in) Suction Pipe length is 1 m. Discharge pipe length is 4.27 m Discharge Vessel Elevation head is 4 m Specific roughness of pipe material is 0.00004572 m
References 1. API 676: Positive Displacement Pumps, Rotary 2. CRANE: Flow of Fluids Through Valves, Fittings and Pipe
Page 1 of 7
DEFINITION OF TERMS
∆P - Differential Pressure BHP - Brake Horsepower D
- Hydraulic Diameter
f
- Darcy Friction factor
g
- Gravitational Acceleration
hf - Head losses due to friction hp - Pressure head in vessel HHP - Hydraulic Horse Power hvp - Vapour Pressure Head K - Resistance Coefficients for pipe fittings l - Straight pipe length NPSHa OD
- Net Positive Suction Head Available - Outside Diameter of Pipe
P - Pressure in Vessel Q
- Flow Rate
Re
- Reynold's Number
SG
- Specific Gravity
V - Velocity Z - Elevation Head
ε - Absolute Roughness ѵ - Kinematic Viscosity
2 of 7
SUCTION SIDE 0.05560 m3/s
Flow Rate (Q)
=
Specific Gravity
=
1
Hydraulic Diameter (D)
=
0.15
m
Suction Head Calculation Suction vessel pressure head (hp) + Elevation head (Z) - Friction Head (hf) Parameters Suction Vessel Pressure
(P)
1.0135 bar
=
Kinematic Viscosity (ν)
=
Specific Roughness (Є)
=
Pipe Length (L)
=
(Atm)
8.01000E-07 m2/s 0.00004572 m 1 m
(below pump suction)
Suction Vessel Pressure Head (hp)
=
10.331
m
Elevation Head
=
1
m
Friction Head Head Loss in Pipe length (m) Average Velocity - V
=
3.146316386 m/s2
Reynolds Number, Re
=
589197.8251
Darcy Friction Factor,f
=
0.016237308
Head loss in pipe length (m)
=
0.055
5
m
Head loss in fittings (m) 0
Reducers
K
=
0
Ball Valves
K
=
0
Elbows
K
=
1
Entrance
K
=
0 1 90Oelbow, 1 45O deg elbow)
0 0.78
Total K for fittings
=
5.78
Total Head loss in fittings
=
0.047
Friction Head Total Suction Head
m =
0.102
m
=
11.229
m
(All formulas used in the calculations above are shown in Appendix 1)
3 of 7
DISCHARGE SIDE 0.05560 m3/s
Flow Rate (Q)
=
Specific Gravity
=
1
Hydraulic Diameter (D)
=
0.15
m
Discharge Head Calculation Discharge vessel pressure head (hp) + Elevation head (Z) + Friction Head (hf) Parameters Discharge Vessel Pressure (P)
=
1.0135 bar
Kinematic Viscosity (ν)
=
8.01E-07 m2/s
Specific Roughness (ε)
=
Pipe Length (L)
=
(Atm)
0.00004572 200 m
Discharge Vessel Pressure Head
=
10.331
m
Elevation Head
=
200
m
=
10.938
m
=
221.269
m
Friction Head Head Loss in Pipe length (m) Average Velocity - V
=
3.146316 m/s2
Reynolds Number
=
589197.8
Darcy Friction Factor
=
0.016237
=
10.923
Head loss in pipe length (m)
m
Head loss in fittings (m) 3
Elbows
K
=
1.721155
1
Exit
K
=
0.016237
0
Check Valve
K
=
0
1
Ball Valve
K
=
0.048712
Total K for fittings
=
1.786104
Total Head loss in fittings
=
0.015
Friction Head Total Discharge Head
m
(All formulas used in the calculations above are shown in Appendix 1)
4 of 7
PERFORMANCE REQUIREMENTS Total Dynamic Head
=
Total Discharge Head - Total Suction Head
=
210.040
m
Pressure Differential
=
20.6
bar
Hydrualic Horse Power (HHP)
=
Pump Efficiency
=
75
Brake Horse Power
=
15271.5
67.06667 hp
Rated Horse power
=
17562.2
77.12667 hp
11453.6 kW
50.30000 hp
%
Rated Motor Nameplate HP
Net Positive Suction Head Available (NPSHa) Suction vessel pressure head (hp) + Elevation head (Z) - Friction Head (hf)-Vapour Pressure Head(hvp)
Vapour pressure of liquid
=
0.6
bar
Vapour pressure head of liquid
=
6.116
m
NPSHa
=
5.11
m
(All formulas used in the calculations above are shown in Appendix 1)
5 of 7
Appendix 1 SUMMARY OF FORMULAE USED Pressure Head (converting from bar to m)
