Navier-Stokes equations: Difference between revisions
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The incompressible Navier-Stokes equations are <br> | The incompressible Navier-Stokes equations are <br> | ||
<math> | <math> | ||
\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 + \rho \mathbf{g} + \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> | |||
Latest revision as of 15:42, 17 June 2011
The incompressible Navier-Stokes equations are
for an adiabatic fluid. A prognostic equation for density is
