Mass flow rate as a function of the modified pressure drop in a network of tubes

Input(s)

PA\boldsymbol{P}_{\boldsymbol{A}}: Pressure at A (psi)

PB\boldsymbol{P}_{\boldsymbol{B}}: Pressure at B (psi)(\mathrm{psi})

μ\mu: Viscosity (cP)(\mathrm{cP})

ρ\rho: Density (ppg)(\mathrm{ppg})

L: Length (ft)

R\mathrm{R}: Radius (ft)

Output(s)

w: Mass Flow Rate (lb/s)

Formula(s)

w=3π(PAPB)(R4)ρ20μ L\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.


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