Flow of a Viscous Fluid Past a Porous Oblate Spheroid at Small Reynolds Number

Srivastava, Pravin Kumar and Yadav, Ramesh and Pandey, Ravindra Pratap and Pandya, Nidhi (2025) Flow of a Viscous Fluid Past a Porous Oblate Spheroid at Small Reynolds Number. Asian Journal of Mathematics and Computer Research, 32 (1). pp. 52-77. ISSN 2395-4213

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Abstract

This study deals with the uniform motion of an adhesive, incompressible fluid flowing over a porous oblate spheroid at tiny values of the Reynolds number. These types of problems have been considered by dividing fluid flow into three regions, namely, zone I, zone II, and zone III. In the zone I, which is completely filled with viscous fluid, is the region of the porous oblate spheroid, and in this region fluid flow is governed by the equation suggested by Brinkman. The zone II and the zone III, where the clear fluid flows, are the regions outside the porous oblate spheroid. The fluid flow in these two zones has been discussed using the perturbation method given by Proudman and Pearson in which the Stokes stream function is expanded in terms of Reynolds number. This solution is then matched with the Oseen solution, At the interface of zone II and zone I, the matching conditions suggested by Ochoa-Tapia and Whitaker are applied for matching the stream function of the clear fluid region with that of the porous region at the surface of the oblate spheroid. It has been found that the drag on the oblate spheroid reduces with that of the departure from the spherical shape. Similar effects of the drag on the spheroid are obtained when the permeability of the porous medium increases. Also, the drag experienced on the porous oblate spheroid is directly proportional to Reynolds number and the ratio of effective viscosity of the porous medium to the real viscosity of the fluid. The application of a viscous fluid flow past a porous oblate at low Reynolds number is to calculate the friction factor and drag in internal and external flow, hydraulics study, aerofoil design, filtration technology, geothermal energy, and precipitation.

Item Type: Article
Subjects: STM Digital > Computer Science
Depositing User: Unnamed user with email support@stmdigital.org
Date Deposited: 23 Jan 2025 08:31
Last Modified: 23 Jan 2025 08:31
URI: http://elibrary.ths100.in/id/eprint/1687

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