@wikipedia
Stationary fluid Fluid flow with fluid staying at quasistatic equilibrium and fluid pressure and temperature are with fluid pressure
is not changing in time:| LaTeX Math Block |
|---|
|
p(t, {\bf r}) = p({\bf r}) |
This immediately leads to stationary fluid velocity
: | LaTeX Math Block |
|---|
|
{\bf u}(t, {\bf r}) = {\bf u}({\bf r}) |
| Expand |
|---|
|
| Panel |
|---|
| borderColor | wheat |
|---|
| borderWidth | 10 |
|---|
| 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 |
|---|
| {\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 |
|---|
|
. |
|
The fluid temperature
...
is supposed to vary slowly enough to provide quasistatic equilibrium.
This flow regime is often observed in pipeline fluid flows and in pipeline fluid flow and reservoir fluid flows flows.
See also
...
Physics / Fluid Dynamics
[ Steady State Well Flow Regime (SS) ]
