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Bernoulli Equation Calculator

Relates pressure, speed and height between two points in a flow.

m/s²

Standard Earth gravity is 9.80665. The Moon is about 1.62 and Mars about 3.71.

Answer
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Pressure at point 2 —
Speed at point 2 —
Dynamic pressure at point 1 —
Dynamic pressure at point 2 —
Reading this —

The formula

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂

Energy per unit volume is constant along a streamline: pressure, motion and height trade off against one another.

What to watch out for

In a pipe, get the speed at each point from the flow rate and area. Friction lowers the real downstream pressure.

Frequently Asked Questions

What happens when a pipe narrows?

The fluid speeds up and pressure drops. Water at 200 kPa going from 2 to 8 m/s falls to 170 kPa.

How fast does water leave a hole 5 m below the surface?

With both points at atmospheric pressure, 9.9 m/s, as in Torricelli’s law.