Average velocity of flow through a circular tube
Input(s)
\(\boldsymbol{P}_{\boldsymbol{o}}\): Pressure at Initial Point \((\mathrm{Pa})\)
\(\boldsymbol{P}_{\boldsymbol{L}}\): Pressure at Point \(\mathrm{L}(\mathrm{Pa})\)
R: Radius (m)
\(\mu\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
\(\boldsymbol{L}\): Length (m)
Output(s)
\(\boldsymbol{v}_{z}\): Average Velocity \((\mathrm{m} / \mathrm{s})\)
\(v_{z, \max }\): Maximum Velocity (Occurs at \(\left.\mathrm{R}=0\right)(\mathrm{m} / \mathrm{s})\)
Formula(s)
\[
\begin{gathered}
v_{z}=\frac{\left(P_{o}-P_{L}\right) * R^{2}}{8 * \mu * L} \\
v_{z, \max }=\frac{\left(P_{o}-P_{L}\right) * R^{2}}{4 * \mu * L}
\end{gathered}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons., Chapter: 2, Page: 51.