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Substituting
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into
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and reducing the density
one arrives to:
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anchor | pre_filnal |
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alignment | left |
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| \rho \, \phi \, c_t \cdot \frac{\partial p}{\partial t} + \nabla |
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\, ( \rho \, {\bf u}
+ c \cdot ( {\bf u} \, \nabla p) = \rho \, \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
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| \int_{\Sigma_k} \, {\bf u} \, d {\bf A} = q_k(t) |
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See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model / Single-phase pressure diffusion @model
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