Bernoulli’s Principle

Statement

Bernoulli’s Principle states that for an inviscid flow of a nonconducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid’s potential energy.

Mathematical Form

Along a streamline: $\frac{p}{\rho} + \frac{v^2}{2} + gz = \text{constant}$

Relationships

• Related: Potential Flow, Conservation of Energy