Pump Sizing Calculation

# Pump Sizing Calculation

Pump is a most common equipment used in a chemical plant to transfer fluid from one location to another. This article shows how to do pump sizing calculation to determine differential head required to be generated by pump based on suction and discharge conditions.

### Suction Pressure

Pressure at pump suction is calculated as following

``PSuct. = P1 + Pstatic - ΔPEquipment - ΔPfriction``

where,

• P1 is pressure at liquid surface in suction vessel.
• Pstatic is pressure due to height of liquid level above pump suction.
• ΔPEquipment is pressure drop in an equipment at pump suction like strainers, filters etc.
• ΔPfriction is pressure drop due to suction pipe and fittings.

Pstatic

``Pstatic (psi) = h1.(SG)/2.31``Pstatic (bar) = h1.ρ.g/100000``

where, h1 is height of liquid above pump suction, SG is specific gravity of liquid, ρ is liquid density (kg/m³) and g is gravitational constant (9.81).

ΔPfriction

``ΔPfriction = ΔPPipe + ΔPFittings``

ΔPPipe is pressure drop in a pipe due to single phase fluid flow. ΔPFittings is pressure drop due to pipe fittings, which can be calculated based on 2-K & 3-K method.

### Discharge Pressure

Pressure at pump discharge is calculated as following

``PDisch. = P2 + Pstatic + ΔPEquipment + ΔPfriction``

where,

• P2 is pressure at liquid surface in discharge vessel.
• Pstatic is pressure due to height of liquid level above pump suction.
• ΔPEquipment is pressure drop in equipment at pump discharge like heat exchangers, control valve, flowmeter, valves etc.
• ΔPfriction is pressure drop due to suction pipe and fittings.

Pstatic

``Pstatic (psi) = h2.(SG)/2.31``Pstatic (bar) = h2.ρ.g/100000``

where, h2 is height of liquid above pump suction at which liquid is to be discharged.

ΔPfriction is calculated in similar way as mentioned above for discharge piping.

Differential head required to be generated by pump is calculated as following.

``Head (ft) = (PDisch. - PSuct.)*2.31/SG``Head (m) = (PDisch. - PSuct.)*100000/(ρ.g)``

### Hydraulic Power

Hydraulic power is calculated as following.

``Power (bhp) = Head(ft) * Flow(gpm) * SG / 3960``Power (kW)  = Head(m) * Flow(m³/h) * SG * g / 3600``

### NPSH Available

Net Positive Suction Head (NPSH) available is calculated as following.

``NPSH Avail.(ft) = (PSuct. - PVapor)* 2.31 / SG``NPSH Avail.(m) = (PSuct. - PVapor)* 100000 / (ρ.g)``

where, PVapor is vapor pressure of liquid at suction vessel temperature.