Details

Autor(en) / Beteiligte

• Solanki, Dhaval T
• Sharma, Dharmendra S

Titel

Potential flow around polygonal shaped cylinders using hypotrochoidal mapping function

Ist Teil von

• International journal of mechanical sciences, 2022-07, Vol.226, p.107395, Article 107395

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• •Complex variable approach is employed to investigate flow parameters around polygonal shaped cylinders.•The polygonal shaped geometries are obtained using Hypotrochoidal mapping function.•The effect of geometry of polygonal cylinders on flow parameters is found. 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. [Display omitted]