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Alternative forms

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In case of a 
 Pipe Flow with constant cross-section area 

LaTeX Math Inline
bodyA(l) = A = \rm const
it also leads to conservation of mass flux: 

LaTeX Math Block
anchorIY1I1jm
alignmentleft
j_m(t,l) = j_m = \frac{\dot m}{A} = \rm const

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LaTeX Math Inline
body j_m

mass flux along the pipe

Equation 

LaTeX Math Block Reference
anchorjm
 can be also written as:

LaTeX Math Block
anchorERYKY
alignmentleft
j_m = \rho \dot u = \rm const

where

LaTeX Math Inline
bodyu

norm of the fluid velocity


See also

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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Dynamics / Fluid Flow / Pipe Flow / Pipe Flow Dynamics / Pipe Flow Simulation 

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