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@wikipedia
Mathematical form of mass conservation of continuum body:
Integral form | Differential form |
---|
(1) |
\frac{d}{dt} \iiint_\Omega \rho \, dV =0 |
|
(2) |
\frac{\partial \rho}{\partial t} + \nabla (\rho \, {\bf u}) = 0 |
|
For stationary fluid flow:
(3) |
\frac{\partial \rho}{\partial t} = 0 \rightarrow \nabla (\rho \, {\bf u}) = 0 |
See also
Physics / Mechanics / Continuum mechanics