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@wikipedia


Fluid flow conservation of mass

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\frac{\partial \rho}{\partial t} + \nabla (\rho \, {\bf u}) = 0


For stationary fluid flow:

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\frac{\partial \rho}{\partial t} = 0 \rightarrow  \nabla (\rho \, {\bf u}) = 0


See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid flow