Mass rate of flow through a circular tube

Input(s)

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

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

R\mathrm{R}: Radius (ft)

ρ\rho: Density (ppg)(\mathrm{ppg})

μ\mu: Viscosity (cP)

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

Output(s)

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

Formula(s)

w=π((PoPL)(R4)ρ)/(8μ L)\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.


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