Bernoulli's Equation

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

The following assumptions must be met for the Bernoulli's equation ( \(Be\) ) 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.)

Bernoulli's Equation formula

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

Where:

\(\large{ p }\) = pressure at the point

\(\large{ \rho }\)  (Greek symbol rho) = density of the fluid at all points in the fluid

\(\large{ g }\) = gravitational acceleration

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

\(\large{ v }\) = fluid velocity

 

Tags: Equations for Fluid