Velocity distribution of flow through a circular tube
Input(s)
\(\boldsymbol{p}_{\boldsymbol{o}}\): Pressure at Initial Point \((\mathrm{Pa})\)
\(p_{L}\): Pressure at Point \(\mathrm{L}(\mathrm{Pa})\)
R: Radius of the Tube \((m)\)
\(\mu\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
L: Length of the Tube (m)
r: Cylindrical Shell of Thickness (m)
Output(s)
\(v_{z}\): Velocity Distribution \((\mathrm{m} / \mathrm{s})\)
Formula(s)
\[
\mathrm{v}_{\mathrm{z}}=\frac{\left(\mathrm{p}_{\mathrm{o}}-\mathrm{p}_{\mathrm{L}}\right) * \mathrm{R}^{2}}{4 * \mu * \mathrm{~L}} *\left(1-\left(\frac{\mathrm{r}}{\mathrm{R}}\right)^{2}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 51 .