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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v42.i2.60
pages 170-189

Stokes Flow of Micropolar Fluid Past a Non-Newtonian Liquid Spheroid

Bharat Raj Jaiswal
Department of Mathematics, AKS University, Satna 485001, M.P., India
Bali Ram Gupta
Department of Mathematics, JaypeeUniversity of Engineering and Tech., Guna 473226, M. P., India.

Краткое описание

This paper deals with the problem of creeping, steady, axisymmetric Stokes flow of a viscous incompressible micropolar fluid past a Reiner−Rivlin liquid spheroid whose shape deviates a bit from that of a sphere. The polar equation of the deformed sphere is considered for the present study. The stream function solution for the flow outside the liquid spheroid is obtained in terms of modified Bessel functions and Gegenbauer functions, and for the flow inside the liquid spheroid, the stream function solution is obtained by expanding the stream function in terms of S. The flow fields are determined explicitly by matching the boundary conditions at the interface of the micropolar fluid and the liquid spheroid, and uniform velocity at infinity. As an example, the case of an oblate liquid spheroid is considered, and force experienced by it is evaluated. The dependence of drag coefficient on the deformation parameter ε, dimensionless parameter S, viscosities µ1 and µ2, and vortex viscosity κ is discussed for the oblate spheroid and presented graphically. Previous well-known results are then also deduced from the present analysis. It is found that the drag on the oblate spheroid increases with the increase in deformation parameter and cross-viscosity.


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