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We start with
(Single-phase pressure diffusion @model:1):
(1) |
\phi \cdot c_t \cdot \partial_t p + \nabla {\bf u}
+ c \cdot ( {\bf u} \, \nabla p)
= \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
|
(2) |
{\bf u} = - M \cdot ( \nabla p - \rho \, {\bf g}) |
|
and neglect the non-linear term
c \cdot ( {\bf u} \, \nabla p).
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Pressure Diffusion / Pressure Diffusion @model / Single-phase pressure diffusion @model