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.