The Bernoulli equation

Statement

$p + \tfrac{1}{2}\rho v^2 + \rho g h = \text{constant along a streamline}$ — for steady, inviscid, incompressible flow.

Why is it true?

This is energy conservation for a fluid element: pressure, kinetic energy, and potential energy per unit volume sum to a constant if viscous friction is neglected.

Topics that use this theorem

Step-by-step proofs

No step-by-step proof yet for this theorem.