Abstract
In this paper, some investigations on two-dimensional steady potential flow over polygonal shaped cylinders are presented. The polygonal shapes with finite corner radius are obtained using Hypotrochoidal mapping function. The complex potential function derived using Milne-Thompson circle theorem, along with Hypotrochoidal mapping is employed to get various flow parameters over different shaped cylinders. The uniform and non-uniform flow conditions are arrived at, by taking infinite and finite distance of vortex from the cylinder, respectively. The velocity and pressure distribution over various shaped cylinders are presented and some of them are compared with the results from commercial software package (ANSYS) and available literature. Formulas are developed to obtain velocity and pressure distribution around various shaped geometries. Also, the effect of various geometrical parameters on velocity and pressure distribution is studied.
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