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for viscous fluids or Euler equations (fluid dynamics) for ideal inviscid fluid, the gradient of pressure becomes a function of body forces only. The Navier-Stokes momentum equations are:{\mathrm{D} t} = - \nabla [p - \zeta (\nabla\cdot\mathbf{u})] + \nabla \cdot \left\{ \mu \left[\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathrm{T} - \tfrac23 (\nabla\cdot\mathbf{u})\mathbf I\right] \right\} + \rho\mathbf{g} .|cellpadding|border|border colour = #FF0000|background colour = #DCDCDC}}

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