Mass rate of flow in a squared duct
Input(s)
\(\boldsymbol{P}_{\boldsymbol{o}}\): Input Pressure (psi)
B: Duct Boundary (ft)
\(\rho\): Fluid Density \((\mathrm{g} / \mathrm{cc})\)
\(\mu\): Viscosity \((\mathrm{cP})\)
L: Length ( \(\mathrm{ft}\) )
\(\boldsymbol{P}_{\boldsymbol{L}}\): Output Pressure (psi)
Output(s)
w: Mass Rate in Square Duct \((\mathrm{g} / \mathrm{s})\)
Formula(s)
\[
\mathrm{w}=\frac{0.563 *\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) * \mathrm{~B}^{4} * \rho}{\mu * \mathrm{~L}}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 3, Page: 106.