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Converting Pump Head to Pressure and Vice Versa

Converting head (ft or m) to pressure (psi or bar, kg/cm2) and vice versa

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Pumps characteristic curves are often in head - feet or metres - and a conversion to pressure scales commonly used in pressure gauges - like psi or bar - may be required.

Converting Head to Pressure

Converting head in feet to pressure in psi

Pumps characteristic curves in feet of head can be converted to pressure - psi - by the expression:

p = 0.433 h SG                            (1)

where

p = pressure (psi)

h = head (ft)

SG = specific gravity of the fluid

Converting head in metre to pressure in bar

Pumps characteristic curves in metre of head can be converted to pressure - bar - by the expression:

p = 0.0981 h SG                          (2)

where

h = head (m)

p = pressure (bar)

Converting head in metre to pressure in kg/cm2

Pumps characteristic curves in metre of head can be converted to pressure - kg/cm2 - by the expression:

p = 0.1 h SG                          (2b)

where

h = head (m)

p = pressure (kg/cm2)

Converting Pressure to Head

Since pressure gauges often are calibrated in pressure - psi or bar - a conversion to the heads commonly used in pump curves - like feet or meter - may be required.

Converting pressure in psi to head in feet

h = 2.31 p / SG                          (3)

where

h = head (ft)

p = pressure (psi)

Converting pressure in bar to head in metre

h = p 10.197 / SG                          (4)

where

h = head (m)

p = pressure (bar)

Converting pressure in kg/cm2 to head in metre

h = p 10 / SG                           (4b)

where

h = head (m)

p = pressure (kg/cm2)

Example - Converting Pump Head - feet - to Pressure - psi

The pressure - psi - of a water pump operating with head 120 ft can be calculated with eq. 1 as:

p = 0.433 (120 ft) (1)

    = 52 psi

Example - Converting Pressure - psi - to Pump Head - feet

The head in feet water column can be calculated from pressure 100 psi with eq. 3 as:

h = 2.31 (100 psi) / (1)
   = 231 ft

Where specific gravity of water = 1.

Feet of Head Water to psi

Head
(ft)

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Pressure
(psi)

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1 0.43
2 0.87
3 1.30
4 1.73
5 2.17
6 2.60
7 3.03
8 3.46
9 3.90
10 4.33
20 8.66
30 12.99
40 17.32
50 21.65
60 25.99
70 30.32
80 34.65
90 38.98
100 43.31
120 51.97
140 60.63
160 69.29
180 77.96
200 86.62
250 108.27
300 129.93
350 151.58
400 173.24
500 216.55
600 259.85
700 303.16
800 346.47
900 389.78
1000 433.0
  • water at 62oF
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