Compressible flow in a horizontal circular tube
Input(s)
\(\boldsymbol{p}_{\mathbf{0}}\): Pressure at Initial Point \((\mathrm{Pa})\)
\(\boldsymbol{p}_{\boldsymbol{L}}\): Pressure at Point \(\mathrm{L}(\mathrm{Pa})\)
\(\mathrm{R}\): Radius \((\mathrm{m})\)
\(\mu\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
L: Length (m)
\(\boldsymbol{\rho}_{\text {avg }}\): Average Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
Output(s)
\(\omega\): Mass Rate of Flow \((\mathrm{kg} / \mathrm{s})\)
Formula(s)
\[
\omega=\frac{\pi *\left(p_{0}-p_{L}\right) * R^{4} * \rho_{a v g}}{8 * \mu * L}
\]
Reference(s)
Bird, R.B., Stewart, W.E., and Lightfoot, E.N., (2002). Transport Phenomena (Second ed.). John Wiley & Sons, Chapter: 2, Page: 53.