# Bernoulli's Equation

The following assumptions must be met for the Bernoulli's equation to apply:

- The fluid must be incompressible, even though pressure varies, the density must remain constant.
- The streamline must not enter the boundary layer. (Bernoulli's equation is not applicable where there are viscous forces, such as in the boundary layer.)

Abbreviated as \(Be\)

## formula

\(p \;+\; \rho gh \;+\; \frac {1}{2} \rho v^2 = constant\)

Where:

\(p\) = pressure at the point

\(\rho\) = density of the fluid at all points in the fluid

\(g\) = gravitational acceleration

\(h\) = height, the point above a reference plane

\(v\) = fluid velocity