Navier-Stokes equations: Difference between revisions
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\rho \frac{D \mathbf{u}}{D t} = - \nabla p + \mu \nabla^2 \mathbf{u} \, ,</math><br> | \rho \frac{D \mathbf{u}}{D t} = - \nabla p + \mu \nabla^2 \mathbf{u} \, ,</math><br> | ||
<math> | <math> | ||
\nabla \cdot \mathbf{u} = 0 \ | \nabla \cdot \mathbf{u} = 0 \,, </math><br> | ||
for an adiabatic fluid, a prognostic equation for density is<br> | |||
<math> | |||
\frac{D \rho}{D t} = \kappa \nabla^2 \rho \, , | |||
</math> <br> | |||
where diffusion (the right hand side) is typically neglected. | |||
Revision as of 15:26, 17 May 2011
The incompressible Navier-Stokes equations are
for an adiabatic fluid, a prognostic equation for density is
where diffusion (the right hand side) is typically neglected.
