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LaTeX Math Inline
body--uriencoded--%7B\bf r %7D_k

position vector of the

LaTeX Math Inline
bodyk
-th source/sink

LaTeX Math Inline
body\dot m_k(t)

mass generation rate at

LaTeX Math Inline
bodyk
-th source/sink:
LaTeX Math Inline
body--uriencoded--\displaystyle \dot m_k(t) = \frac%7Bdm_k%7D%7Bdt%7D

LaTeX Math Inline
body\delta ( \bf r )

Dirac delta function


Alternatively it can be written as:

LaTeX Math Block
anchorContinuityDifferential
alignmentleft
\frac{\partial \rho}{\partial t} + \nabla (\rho \, {\bf u}) =   \sum_k \rho(t, {\bf r}) \dot q_k(t) \cdot \delta({\bf r}-{\bf r}_k) 

wehre

LaTeX Math Inline
bodyq_k(t)

volumetric value of body mass generation rate at

LaTeX Math Inline
bodyk
-th source/sink:
LaTeX Math Inline
body--uriencoded--\displaystyle q_k(t) = \frac%7BdV_k%7D%7Bdt%7D

See also

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Natural Science / Physics / Mechanics / Continuum mechanics 

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