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 T(t, {\bf r}) 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
Steady State Well Flow Regime (SS)