# Maximum velocity of flow through a circular tube

## Input(s)

\(p_{o}\): Pressure at Initial Point \((\mathrm{Pa})\)

\(p_{L}\): Pressure at Point \(\mathrm{L}(\mathrm{Pa})\)

R: Radius \((\mathrm{m})\)

\(\mu\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)

L: Length (m)

## Output(s)

\(v_{z m a x}\): Maximum Velocity \((\mathrm{m} / \mathrm{s})\)

## Formula(s)

\[
\mathrm{v}_{\mathrm{zmax}}=\frac{\left(\mathrm{p}_{\mathrm{o}}-\mathrm{p}_{\mathrm{L}}\right) * \mathrm{R}^{2}}{4 * \mu * \mathrm{~L}}
\]

## Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 51 .