Fluid flow with fluid pressure p(t, {\bf r}) and velocity {\bf u}(t, {\bf r}) are not changing in time:
| p(t, {\bf r}) = p({\bf r}) |
| {\bf u}(t, {\bf r}) = {\bf u}({\bf r}) |
The fluid temperature is supposed to vary slowly enough to provide quasistatic equilibrium.
This flow regime is often observed in pipeline fluid flows and reservoir fluid flows
See also
Steady State Well Flow Regime (SS)