Mass rate of flow in a squared duct

Input(s)

Po\boldsymbol{P}_{\boldsymbol{o}}: Input Pressure (psi)

B: Duct Boundary (ft)

ρ\rho: Fluid Density (g/cc)(\mathrm{g} / \mathrm{cc})

μ\mu: Viscosity (cP)(\mathrm{cP})

L: Length ( ft\mathrm{ft} )

PL\boldsymbol{P}_{\boldsymbol{L}}: Output Pressure (psi)

Output(s)

w: Mass Rate in Square Duct (g/s)(\mathrm{g} / \mathrm{s})

Formula(s)

w=0.563(PoPL) B4ρμ L\mathrm{w}=\frac{0.563 *\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) * \mathrm{~B}^{4} * \rho}{\mu * \mathrm{~L}}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 3, Page: 106.


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