Engineering & mechanics

Bernoulli mechanical head

Separate pressure, velocity and elevation contributions to fluid head.

Bernoulli mechanical head
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A clear answer. Here’s how.

Head=P/(ρg)+V²/(2g)+z, using gauge pressure and your elevation datum consistently. Reports each contribution in metres of the supplied fluid. Assumes incompressible flow with kinetic-energy correction factor one. No pump input, turbine extraction or friction loss is included; compare locations only when those energy terms are appropriately accounted for.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Gauge pressure (kPa)
100
Mean velocity (m/s)
2
Elevation relative to your datum (m)
5
Fluid density (kg/m³)
1000

Example result

Pressure head (m)
10.1971621298
Velocity head (m)
0.203943242596
Elevation head (m)
5
Total mechanical head (m)
15.4011053724