Mass flow rate in a rotating cone pump
Input(s)
\(\boldsymbol{P}_{\boldsymbol{o}}\): Input Pressure (psi)
\(\boldsymbol{P}_{L}\): Output Pressure \((\mathrm{psi})\)
L: Length (ft)
B: Distance from Centre (ft)
\(\rho\): Density \((\mathrm{ppg})\)
\(\mathrm{z}\): Distance from Input Side \((\mathrm{ft})\)
\(\beta\): Inclination (rad)
\(\mu\): Viscosity \((\mathrm{cP})\)
Output(s)
w: Mass Flow rate \((\mathrm{lb} / \mathrm{s})\)
Formula(s)
\[
\mathrm{w}=\frac{-2 *\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) *\left(\mathrm{~B}^{3}\right) * \rho * 2 * \pi * \mathrm{z} * \sin (\beta)}{3} * \mathrm{~L} * \mu
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 72.