Mass flow rate in a rotating cone pump

Input(s)

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

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

L: Length (ft)

B: Distance from Centre (ft)

ρ\rho: Density (ppg)(\mathrm{ppg})

z\mathrm{z}: Distance from Input Side (ft)(\mathrm{ft})

β\beta: Inclination (rad)

μ\mu: Viscosity (cP)(\mathrm{cP})

Output(s)

w: Mass Flow rate (lb/s)(\mathrm{lb} / \mathrm{s})

Formula(s)

w=2(PoPL)( B3)ρ2πzsin(β)3 Lμ\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.


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