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.