(1) | \dot m(t,l) = \dot m = \rm const |
where
\dot m | mass flowrate along the pipe |
The physical meaning of Pipe Flow Mass Conservation is that total mass passing through cross-section area of a pipe at any location of its trajectory is staying constant as there is no mass exchange of the fluid through the walls.
In case of a Pipe Flow with constant cross-section area
A(l) = A = \rm const it also leads to conservation of mass flux:
(2) | j_m(t,l) = j_m = \frac{\dot m}{A} = \rm const |
where
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid Flow / Pipe Flow / Pipe Flow Dynamics / Pipe Flow Simulation