Momentum flux distribution of flow through a circular tube

Input(s)

p0\mathbf{p}_{\mathbf{0}}: Pressure at Initial Point (Pa)(\mathrm{Pa})

pL\mathbf{p}_{\mathbf{L}}: Pressure at Point L(Pa)\mathrm{L}(\mathrm{Pa})

r: Cylindrical Shell of Thickness (m)

L: Length (m)

Output(s)

τrz:\boldsymbol{\tau}_{\mathbf{r z}}: Momentum Flux Distribution (Pa)(\mathrm{Pa})

Formula(s)

τrz=popL2 Lr\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.


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