In fluid dynamics, Bernoulli's Equation describes the behavior of moving fluids along a streamline.

v = fluid velocity along the streamline
g = gravitational constant
y = elevation in g-field
P = pressure along the streamline
ρ = fluid density

These assumptions must be met for the equation to apply:

  • Inviscid flow - Viscosity (internal friction) = 0
  • Steady flow
  • Incompressible flow - ρ is constant
  • The equation applies along a streamline.

The equation can be derived by integrating the Euler equations along a streamline.