Open AccessBrinkman Flow Generated by the Rectilinear Oscillations of an Oblate Spheroid Along its Axis of Symmetry
Author(s) -
Satish Kumar. D,
Shapoor Vali
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.10.21303
Subject(s) - spheroid , legendre function , legendre polynomials , oblate spheroid , physics , drag , flow (mathematics) , symmetry (geometry) , spherical harmonics , mechanics , classical mechanics , geometry , mathematics , chemistry , quantum mechanics , biochemistry , in vitro
In this paper, we consider an impervious Oblate spheroid placed in a fully saturated porous medium, where in the flow is governed by Brinkmann flow equation. We assume that the spheroid is performing rectilinear harmonic oscillations along the axis of symmetry with a speed u. The flow is studied under the Stokesian approximation. The expressions for the velocity and pressure fields are obtained in terms of Legendre functions, associated Legendre functions and Radial and Angular spheroidal wave functions. We obtain an expression for the drag experienced by the spheroid, and numerically study its variation with respect to the flow parameters and display its variation through graphs.