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Bernoulli's equation

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

<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.



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