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多孔介质期刊
影响因子: 1.49 5年影响因子: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.2019029027
pages 681-692

BRINKMAN FLOW THROUGH A POROUS CYLINDER EMBEDDED IN ANOTHER UNBOUNDED POROUS MEDIUM

Satya Deo
Department of Mathematics, University of Allahabad, Prayagraj (Allahabad), U.P., 211002, India
Iftekhar Ahamad Ansari
Department of Mathematics, University of Allahabad, Allahabad-211002, India

ABSTRACT

This work concerns the study of steady incompressible viscous fluid flow through a porous cylinder embedded in another infinite porous medium. Brinkman equations for the flow inside and outside porous cylinder in their stream function formulations are used. A closed form exact solution is obtained for the governing equations. Explicit expressions for stream functions, velocity profiles, stresses and pressures are obtained. A new result for drag force experienced by the porous cylinder is investigated. The dependence of the drag coefficient, shear stress, streamlines patterns and velocity profiles for various values of parameters are presented graphically and discussed.

REFERENCES

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