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7/27/2019 How To Size A Pump Blackmonk Engineering.pdf
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How To Size A Pump
To size a pump, you must define:
The flow rate of liquid the pump is required to deliver
The total differential head the pump must generate to deliver the required flow rate
This is the case for alltypes of pumps: centrifugalor positive displacement.
Other key cons iderations for pump sizing are the net positive suction head available (NPSHa) and the
power required to dr ive the pump.
Pump System Diagram
Flow Rate
Usually, the flow rate of liquid a pump needs to deliver is determined by the process in which the pump is
installed. This ultimately is defined by the mass and energy balance of the proces s.
For instance the required flow rate of a pump feeding oil into a r efinery distillation column willbe
determined by how much product the column is required to produce. Another example is the flow rate of
a cooling water pump circulating water through a heat exchanger is defined by the amount of heat
transfer required.
TotalDifferentialHead
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Posted on November 11, 2009
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rans er requ re .
TotalDifferentialHead
The total differential head a pump must generate is determined by the flow rate of liquid being pumped
and the system through which the liquid flows.
Essentially, the total differentialhead is made up of 2 components. The first is the st atic head across the
pump and the second is the frictional head loss thr ough the suction and discharge piping syst ems.
Total differential head = static head differenc e + frictional head losses
Static Head Difference
The static head difference acr oss the pump is the difference in head between the dischar ge static head
and the suction static head.
Static head difference = discharge static head – suction static head
Discharge Static Head
The discharge stat ic head is sum of the gas pressure at the surface of the liquid in the discharge vessel
(expressed as head rather than pressure) and the difference in elevation between the outlet of the
discharge pipe, and the centre line of the pump.
Discharge static head = Discharge vessel gas pressure head + elevation of discharge pipe outlet –
elevation of pump centre line
The discharge pipe outlet may be above the surface of the liquid in the discharge vessel or it may be
submerged as shown in these 3 diagrams.
Pump Discharge Above Liquid Surface
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Submerged Pump Discharge Pipe
Discharge Pipe Enters The BottomOf The Vessel
Suction Static Head
The suction static head is sumof the gas pressure at the surface of the liquid in the suction vessel
(expressed as head rather than pressure) and the difference in elevation between the surface of the
liquid in the suction vessel and the centr e line of the pump.
Suc tion static head = Suc tion vessel gas pressure head + elevation of suc tion vessel liquid surface
– elevation of pump c entre line
Note: gas pressure can be converted to head using:
Gas head = gas pressure ÷ (liquid density x acceleration due to gravity)
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Pump Suction
Frictional Head Losses
The total frictionalhead losses in a system are comprised of the frictional losses in t he suction piping
system and the frictionallosses in the discharge piping system.
Frictional head losses = frictional losses in suc tion piping system + frictional losses in discharge
piping system
The frict ional losses in the suction and discharge piping systems are the sumof the frictional losses due
to the liquid flowing through the pipes, fittings and equipment. The frictional head losses are usually
calculated from the Darcy-Weisbach equation using frict ion factors and fittings factors to calculate the
pressure loss in pipes and fittings.
Darcy-Weisbach equation:
In order to calculate the frict ional head losses you therefore need to know the lengths and diameters of
the piping in the systemand the number and type of fittings such as bends, valves and other equipment.
Net Positive Suction Head Available
The net positive suction head available (NPSHa) is the difference between the absolute pressure at t he
pump suct ion and the vapour pressure of the pumped liquid at the pumping temperature.
It is important because for the pump to operate proper ly, the pressure at the pump suction must exceed
the vapour pressur e for the pumped fluid to remain liquid in the pump. If the vapour pres sure exceeds
the pressure at the pump suction, vapour bubbles will form in the liquid. This is known as cavitation and
leads to a loss of pump efficiency and can result in significant pump damage.
To ensure that t he pump operates correc tly the net positive suction head available (NPSHa) must exceed
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To ensure that t he pump operates correc tly the net positive suction head available (NPSHa) must exceed
the net positive suction head required (NPSHr) for that par ticular pump. The NPSHr is given by the pump
manufacturer and is often shown on the pump curve.
Net positive suction head available = absolute pressure head at the pump suc tion – liquid vapour
pressure head
Pump Power
Pumps are usually driven by electr ic motors, dieselengines or steam turbines. Determining the power
required is essential to sizing the pump driver .
Pump pow er = flow rate x total differential head x liquid density x acc eleration due to gravity ÷
pump efficiency
How To Size A Pump Example
Let’s look at an example to demonstrate how to s ize a pump.
30000 kg/hr of water needs to be pumped from one vessel to another through the syst emshown in the
diagram below. The water is at 20C, has a density of 998 kg/m3
, a vapour pressure of 0.023 bara and a
viscos ity of 1cP. We’llassume that the pump efficiency is 70%.
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Calculation
The calculation is presented below:
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Results
Pump flow rate = 30 m3/hr
Pump total differential head = 134.8 m
Net positive suction head available = 22.13 m
Pump power = 15.7 kW
Tags: How To, pump
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Tags: How To, pump
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