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LaTeX Math Block
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\Delta p = p_{in} - p_{out} =  \frac{1-\\beta^4}{С_d^2 \, \epsilon^2} \cdot \frac{\dot m^2}{2 \, \rho \, A_d^2}=  \frac{1-\\beta^4}{С_d^2 \, \epsilon^2} \cdot \frac{j_m^2}{2 \, \rho}

where

LaTeX Math Inline
body\dot m

fluid mass flowrate 

LaTeX Math Inline
bodyj_m
LaTeX Math Inline
body\rho

orifice mass flux

LaTeX Math Inline
body--uriencoded--A_d = 0.25 \, \pi \, d%5e2

orifice cross-section area

See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation (PFS)

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