# 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.