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LaTeX Math Inline |
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body | --uriencoded--%7B\bf r %7D_k |
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| position vector of the -th source/sink |
| mass generation rate at -th source/sink: LaTeX Math Inline |
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body | --uriencoded--\displaystyle \dot m_k(t) = \frac%7Bdm_k%7D%7Bdt%7D |
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| Dirac delta function |
Alternatively it can be written as:
LaTeX Math Block |
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anchor | ContinuityDifferential |
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alignment | left |
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| \frac{\partial \rho}{\partial t} + \nabla (\rho \, {\bf u}) = \sum_k \rho(t, {\bf r}) \cdot \dot q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
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wehre
| volumetric value of body mass generation rate at -th source/sink: LaTeX Math Inline |
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body | --uriencoded--\displaystyle q_k(t) = \frac%7BdV_k%7D%7Bdt%7D |
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See also
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Natural Science / Physics / Mechanics / Continuum mechanics
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