HSD TRANSFER PUMP SIZING CALCULATIONS
Contract No- Ranceb-Goil-E&D-01
Status of
Revision
1.
2.
3.
APPROVE
COMMENTS
REVIEW & COMMENTS
PROJET-MODIFICATION /UP GRADATION IN THE FACILITY
AT ADAMUS MINES
RANCEB E&C PROJECTS LTD.
CLIENT CODE
GOIL COMPANY LIMITED
DOCUMENT
GT-P-I-003
CALCULATIONS
0
ISSUED FOR APPROVAL
ABA
NS
NG
16.06.2021
Rev.
Description
Made by
Checked by
Approved by
Date
HISTORY OF CHANGES
REV.
DATE
SECTION /
PARAGRAPH AFFECTED
INITIAL DOCUMENT
REASON/S FOR CHANGE/MODIFICATION
0
16.06.2021
N/A
First issue
HSD TRANSFER PUMP SIZING
CALCULATIONS
CLIENT:-
GOIL COMPANY LIMITED
CONTRACTOR:-
RANCEB E&C PROJECTS LTD.
CONSULTANT:-
GLADIUS TECHNOLOGIES
MODIFICATION OF EXISTING FUEL DUMP
PROJECT:-
AT ADAMUS MINES
0
16.06.2021
FOR APPROVAL
REV. NO.
DATE
DESCRIPTION
AS
NS
PREP. BY CHKD. BY
NG
APP.BY
Page 1 of 8
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 2 of 8
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
Page 3 of 8
SUCTION SIDE
0.00278 m3/s
Flow Rate (Q)
=
Specific Gravity
=
0.85
Hydraulic Diameter (D)
=
0.08
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)
4.09000E-06 m2/s
0.00004572 m
25 m
(below pump suction)
Suction Vessel Pressure Head (hp)
=
12.154
m
Elevation Head
=
3
m
Friction Head
Head Loss in Pipe length (m)
Average Velocity - V
=
0.552621772 m/s2
Reynolds Number, Re
=
10809.22782
Darcy Friction Factor,f
=
0.031342116
Head loss in pipe length (m)
=
0.152
2.382000818
m
Head loss in fittings (m)
2
Reducers
K
=
2
Ball Valves
K
=
0.062684232
6
Elbows
K
=
6.143054741
2
Entrance
K
=
0.062684232
Total K for fittings
=
8.650424023
Total Head loss in fittings
=
0.004
Friction Head
Total Suction Head
1 90Oelbow, 1 45O deg elbow)
m
=
0.157
m
=
14.998
m
Page 4 of 8
DISCHARGE SIDE
0.00278 m3/s
Flow Rate (Q)
=
Specific Gravity
=
0.85
Hydraulic Diameter (D)
=
0.065
m
Discharge Head Calculation
Discharge vessel pressure head (hp) + Elevation head (Z) + Friction Head (hf)
Parameters
Discharge Vessel Pressure (P)
=
Kinematic Viscosity (ν)
=
Specific Roughness (ε)
=
Pipe Length (L)
=
1.0135 bar
(Atm)
4.09000E-06 m2/s
0.00004572
50 m
Discharge Vessel Pressure Head
=
12.154
m
Elevation Head
=
7
m
=
0.832
m
=
19.987
m
Friction Head
Head Loss in Pipe length (m)
Average Velocity - V
=
0.837108 m/s2
Reynolds Number
=
13303.67
Darcy Friction Factor
=
0.030051
=
0.826
Head loss in pipe length (m)
m
Head loss in fittings (m)
6
Elbows
K
=
5.889994
2
Exit
K
=
0.060102
2
Check Valve
K
=
0.060102
2
Ball Valve
K
=
0.060102
Total K for fittings
=
6.0703
Total Head loss in fittings
=
0.007
Friction Head
Total Discharge Head
m
Page 5 of 8
PERFORMANCE REQUIREMENTS
Total Dynamic Head
=
Total Discharge Head - Total Suction Head
=
4.989
m
Pressure Differential
=
0.4
bar
Hydrualic Horse Power (HHP)
=
Pump Efficiency
=
75
Brake Horse Power
=
14.81483
19.86698 hp
Rated Horse power
=
17.03705
22.84703 hp
11.11112 kW
14.90023 hp
%
25 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
=
0.011
bar
Vapour pressure head of liquid
=
0.132
m
NPSHa
=
14.87
m
Page 6 of 8
Appendix 1
SUMMARY OF FORMULAE USED
Pressure Head
(converting from bar to m)
Liquid Velocity
Reynold's Number
h(m) 
P (bar )
SG  0 .0981
V 
4Q
D 2
Re 
VD

f 
64
Re
when Re< 3000
Darcy Friction factor
0 . 25
f 
  
5 . 74
 ln  3 . 7 D  Re 0 . 9
 
(Swamee-Jain solution to Darcy friction formular)



2
when Re>3000
Friction losses in straight pipe
Friction losses in fittings
l V2
hf  f

D 2g
hf  f
Total Head (Suction/Discharge)
Differential Pressure
V2
K
2g
hp  Z   h f
P  0.0981 TDH  SG
Hydraulic Horsepower (Watts)
HHP  Q  P
Brake Horsepower
BHP 
Rated Horsepower
Net Positive Suction Head Available
(P in kPa)
HHP

1.15  BHP
NPSHa  h p  Z   h f  hvp
Page 7 of 8
Appendix 2
Page 8 of 8