Potential flow around a cylinder

Input(s)

vv_{\infty}: Fluid Velocity (ft/s)(\mathrm{ft} / \mathrm{s})

z\mathrm{z}: Length (ft)(\mathrm{ft})

R: Radius of Cylinder (ft)

Output(s)

W(z): Flow Potential (ft2/s)\left(\mathrm{ft}^{2} / \mathrm{s}\right)

Formula(s)

W(z)=(vR)((zR)+(Rz))\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.


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