Engineering
Advanced

Bernoulli's Equation

Conservation of energy in fluid flow.

Formula

P+12ρv2+ρgh=constP + \frac{1}{2}\rho v^2 + \rho g h = \text{const}

Variables

PPressure
\rhoDensity
vVelocity
hHeight

Example

Where a pipe narrows, the fluid speeds up and its pressure drops.

Did You Know?

Bernoulli's equation — conservation of energy for fluids — explains lift, carburetors, and spray bottles.