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