Potential flow around a cylinder
Input(s)
\(v_{\infty}\): Fluid Velocity \((\mathrm{ft} / \mathrm{s})\)
\(\mathrm{z}\): Length \((\mathrm{ft})\)
R: Radius of Cylinder (ft)
Output(s)
W(z): Flow Potential \(\left(\mathrm{ft}^{2} / \mathrm{s}\right)\)
Formula(s)
\[
\mathrm{W}(\mathrm{z})=\left(-\mathrm{v}_{\infty} * \mathrm{R}\right) *\left(\left(\frac{\mathrm{z}}{\mathrm{R}}\right)+\left(\frac{\mathrm{R}}{\mathrm{z}}\right)\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 4, Page: 128.