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 20:36, August 15, 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
