@wikipedia
Fluid flow with fluid pressure
are not is not changing in time: LaTeX Math Block |
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p(t, {\bf r}) = p({\bf r}) |
This immediately leads to the stationary fluid velocity
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| The In the most general case (both reservoir and pipelines) the fluid velocity is a function of pressure and pressure gradient and can be written as: LaTeX Math Block |
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| {\bf u}(t, {\bf r})= MF({\bf r}, p, \nabla p) \nabla p |
with right side not dependent on time in stationary flow:and LaTeX Math Block |
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| \frac{\partial {\bf u}(t, {\bf r})}{\partial t}= 0 |
which leads to LaTeX Math Block Reference |
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This flow regime is often observed in pipeline fluid flow and reservoir fluid flows.
See also
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Physics / Fluid Dynamics
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