Bernoulli's equation

<math> {v^2 \over 2}+gy+{P \over \rho}=constant </math>

v = fluid velocity along the streamline

g = gravitional 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 Euler's equation[?] along a streamline.