Mass rate of flow through a circular tube

Input(s)

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

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

$\mathrm{R}$: Radius (ft)

$\rho$: Density $(\mathrm{ppg})$

$\mu$: Viscosity (cP)

L: Length $(\mathrm{ft})$

Output(s)

w: Mass Rate $(\mathrm{lbm} / \mathrm{s})$

Formula(s)

$$ \mathrm{w}=\pi *\left(\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) *\left(\mathrm{R}^{4}\right) * \rho\right) /(8 * \mu * \mathrm{~L}) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 2, Page: 55.