\dot m(t,l) = \dot m = \rm const |
where
| 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.
Equation can be also written as:
\dot m(t,l) = \rho(p) \cdot q(t,l) = \rm const |
where
| mass flowrate along the pipe | |
| fluid density | |
| fluid pressure distribution along the pipe | |
| volumetric flowrate of the pipe flow |
In case of a Pipe Flow with constant cross-section area it also leads to conservation of mass flux:
j_m(t,l) = j_m = \frac{\dot m}{A} = \rm const |
where
| mass flux along the pipe |
Equation can be also written as:
j_m = \rho \cdot u = \rm const |
where
| superficial velocity of the pipe flow |
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid Flow / Pipe Flow / Pipe Flow Dynamics / Pipe Flow Simulation