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.