Mass flow rate as a function of the modified pressure drop in a network of tubes
Input(s)
\(\boldsymbol{P}_{\boldsymbol{A}}\): Pressure at A (psi)
\(\boldsymbol{P}_{\boldsymbol{B}}\): Pressure at B \((\mathrm{psi})\)
\(\mu\): Viscosity \((\mathrm{cP})\)
\(\rho\): Density \((\mathrm{ppg})\)
L: Length (ft)
\(\mathrm{R}\): Radius (ft)
Output(s)
w: Mass Flow Rate (lb/s)
Formula(s)
\[
\mathrm{w}=\frac{3 * \pi *\left(\mathrm{P}_{\mathrm{A}}-\mathrm{P}_{\mathrm{B}}\right) *\left(\mathrm{R}^{4}\right) * \rho}{20 * \mu * \mathrm{~L}}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 68.