@wikipedia
Stationary fluid flow with fluid staying at quasistatic equilibrium and fluid pressure and temperature are Fluid flow with fluid pressure
is not changing in time: LaTeX Math Block |
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p(t, {\bf r}) = p({\bf r}) |
This immediately leads to stationary fluid velocity
: LaTeX Math Block |
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{\bf u}(t, {\bf r}) = {\bf u}({\bf r}) |
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| 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})= F({\bf r}, p, \nabla p) |
with right side not dependent on time in stationary flow: | T\frac{\partial {\bf u}(t, {\bf r})}{\partial t}= 0 |
which leads to LaTeX Math Block Reference |
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The fluid temperature
...
is supposed to vary slowly enough to provide quasistatic equilibrium.
This flow regime is often observed in pipeline fluid flow and reservoir fluid flows.
See also
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Physics / Fluid Dynamics
[ Steady State Well Flow Regime (SS) ]