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Bernoulli's Equation Calculator

Use this calculator to apply Bernoulli’s principle to compute pressure, velocity, or elevation differences between two points in an ideal fluid flow system.

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What this calculator is doing

Bernoulli's Equation describes the conservation of mechanical energy in a fluid flow and relates pressure, kinetic energy, and potential energy between two points:

\[ P_1 + \frac{1}{2} \rho v_1^2 + \rho g h_1 = P_2 + \frac{1}{2} \rho v_2^2 + \rho g h_2 \]

Where:
\( P \) = Pressure (Pa)
\( \rho \) = Fluid density (kg/m³)
\( v \) = Flow velocity (m/s)
\( g \) = Acceleration due to gravity (9.80665 m/s²)
\( h \) = Elevation head (m)

This calculator solves for the missing pressure, velocity, or height between two points given the rest of the values. It assumes incompressible, steady, and frictionless flow.

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