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# Bernoulli's equation

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

${v^2 \over 2}+gy+{P \over \rho}=constant$

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
• Incompressible flow - ρ is constant
• The equation applies along a streamline.

The equation can be derived by integrating Euler's equation[?] along a streamline.

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