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.