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Pump Head Pressure

Reference data and engineering information about pump head pressure for fluid mechanics applications.

pumpheadpressure

Overview

Engineering reference data for Pump Head Pressure in fluid mechanics.

Key Formulas

Reynolds Number

Re=ρvDμRe = \frac{\rho v D}{\mu}

Ratio of inertial to viscous forces — determines flow regime.

Bernoulli's Equation

P+12ρv2+ρgh=constP + \frac{1}{2}\rho v^2 + \rho g h = \text{const}

Conservation of energy for steady, inviscid, incompressible flow.

Continuity Equation

A1v1=A2v2A_1 v_1 = A_2 v_2

Conservation of mass for incompressible flow.

Darcy-Weisbach

ΔP=fLDρv22\Delta P = f \frac{L}{D} \frac{\rho v^2}{2}

Pressure drop due to friction in a pipe.

Variables

SymbolDescriptionUnit
ReReReynolds number
ρ\rhoFluid densitykg/m³
vvFlow velocitym/s
DDCharacteristic dimensionm
μ\muDynamic viscosityPa·s
PPPressurePa
ffDarcy friction factor

Head vs. Pressure Data Table

For water (SG = 1.0 at 62°F / 17°C), the relationship between pump head in feet and pressure in psi is provided below.

34 rows
Water Head (ft) vs. Pressure (psi) at SG = 1.0
Head(ft)
Pressure(psi)
10.43
20.87
31.30
41.73
52.17
62.60
73.03
83.46
93.90
104.33
208.66
3013.0
4017.3
5021.7
6026.0
7030.3
8034.7
9039.0
10043.3
12052.0
14060.6
16069.3
18078.0
20086.6
250108
300130
350152
400173
500217
600260
700303
800346
900390
1000433

Source: engineeringtoolbox.com

Head and Pressure for Different Liquids

The pressure developed by a pump depends on the fluid's specific gravity (SG), even if the developed head (ft) is identical. The following table illustrates this for a head of 100 ft.

3 rows
Comparison of Pump Discharge Pressure for Different Liquids at Identical Head
Liquid
Specific Gravity(SG)
Head(ft)
Pressure(psi)
Water1.010043.3
Kerosene0.810036.6
Sulphuric Acid1.810077.9

Source: engineeringtoolbox.com

Key Insight: Head vs. Pressure

Identical pumps running at the same speed will develop the same head regardless of the fluid being pumped. However, the discharge pressure will vary significantly because pressure is a function of both the head and the fluid's density (specific gravity). This is why pump performance curves are typically plotted in terms of head (feet or meters) rather than pressure (psi or bar). Using head makes the curve universally applicable to any fluid, simplifying system design and pump selection.

Interactive Charts

Pressure vs. Head - Imperial Units

Pressure vs head - meter vs kPa

References