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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2017015283
pages 229-240

MICROPOLAR FLUID FLOW THROUGH A CYLINDER AND A SPHERE EMBEDDED IN A POROUS MEDIUM

Madasu Krishna Prasad
Department of Mathematics, National Institute of Technology, Raipur, Chhattisgarh, India
Darbhasayanam Srinivasacharya
Department of Mathematics, National Institute of Technology,Warangal, Telangana, 506004, India

要約

The problem of micropolar fluid past an impermeable cylinder and a sphere embedded in a fluid-saturated porous medium is studied separately using the Brinkman's model, assuming a uniform flow far away from the sphere. Boundary conditions used on the surface of the body are no slip and no spin of microrotation. The stream function (the velocity) and microrotation components are presented in terms of modified Bessel functions and Gegenbauer's functions. The drag experienced by the particle is obtained. The variation of drag with respect to permeability and the micropolar parameter are studied numerically. The special cases of flow through a cylinder and a sphere in the Newtonian fluid case is obtained from the present analysis.


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