# Difference between revisions of "Navier-Stokes equations"

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The Navier-Stokes equation is an equation in [[Fluid mechanics|fluid mechanics]] that states: | The Navier-Stokes equation is an equation in [[Fluid mechanics|fluid mechanics]] that states: | ||

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<math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math> | <math>\rho \frac{D \mathbf{V}}{D t} = -\nabla p + \mu \nabla^2 \mathbf{V} + \rho \mathbf{g}</math> |

## Revision as of 15:36, 15 August 2010

The Navier-Stokes equation is an equation in fluid mechanics that states:

where is the pressure difference (expressed as the partial derivative of pressure in each dimension), is the total derivative of velocity, is the kinematic viscosity of the fluid, is the density of the fluid, and is the gravitational acceleration. ^{[1]}

## References

- ↑ A.J. Smits, "A Physical Introduction to Fluid Mechanics," John Wiley & Sons, ISBN 0-471-25349-9