Momentum flux distribution of flow through a circular tube
Input(s)
\(\mathbf{p}_{\mathbf{0}}\): Pressure at Initial Point \((\mathrm{Pa})\)
\(\mathbf{p}_{\mathbf{L}}\): Pressure at Point \(\mathrm{L}(\mathrm{Pa})\)
r: Cylindrical Shell of Thickness (m)
L: Length (m)
Output(s)
\(\boldsymbol{\tau}_{\mathbf{r z}}:\) Momentum Flux Distribution \((\mathrm{Pa})\)
Formula(s)
\[
\tau_{\mathrm{rz}}=\frac{\mathrm{p}_{\mathrm{o}}-\mathrm{p}_{\mathrm{L}}}{2 * \mathrm{~L}} * \mathrm{r}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 50.