# Mass rate of flow through a circular tube

## Input(s)

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

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

\(\mathrm{R}\): Radius (ft)

\(\rho\): Density \((\mathrm{ppg})\)

\(\mu\): Viscosity (cP)

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

## Output(s)

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

## Formula(s)

\[
\mathrm{w}=\pi *\left(\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) *\left(\mathrm{R}^{4}\right) * \rho\right) /(8 * \mu * \mathrm{~L})
\]

## Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 55.