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===Incompressible Navier–Stokes momentum equation=== {{see also|Navier–Stokes equations#Incompressible flow}} Incompressible Navier–Stokes momentum equation is a Cauchy momentum equation with the [[Pascal law]] and [[Stokes' law|Stokes's law]] being the stress constitutive relations: <math display="block">\boldsymbol \sigma = p \mathbf I + \mu \left(\nabla\mathbf{u} + ( \nabla\mathbf{u} )^\mathsf{T}\right) </math> in nondimensional convective form it is:{{sfn|Shih|2009|p=}} <math display="block">\frac{D \mathbf u}{D t} + \mathrm{Eu} \frac {\nabla p}{\rho} = \frac 1 {\mathrm{Re}} \nabla^2 u + \frac 1 {\mathrm{Fr}^2} \hat g </math> where {{math|Re}} is the [[Reynolds number]]. Free Navier–Stokes equations are [[dissipative system|dissipative]] (non conservative).
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