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.