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\dot m(t,l) = \dot m = \rm const |
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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.
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can be also written as:
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\dot m(t,l) = \rho(p(t,l)) \cdot q(t,l) = \rm const |
where
Alternative forms
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In case of a Pipe Flow with constant cross-section area it also leads to conservation of mass flux:
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