Mathematical form of mass conservation of continuum body:
Integral form | Differential form | ||||
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where
\rho | continuum body spatial density distribution |
\bf u | continuum body spatial velocity distribution |
For stationary fluid flow:
(3) | \frac{\partial \rho}{\partial t} = 0 \rightarrow \nabla (\rho \, {\bf u}) = 0 |