@wikipedia
Stationary Fluid flow when with fluid pressure does not change in time 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: 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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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
...
Physics / Fluid Dynamics
[ Steady State Well Flow Regime (SS) ]