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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i10.20
pages 861-867

MHD FLOW OF AN INCOMPRESSIBLE FLUID THROUGH POROUS MEDIUM BETWEEN DILATING AND SQUEEZING PERMEABLE WALLS

Naveed Ahmed
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan
Umar Khan
COMSATS Institute of Information Technology Abbottabad
Zulfiqar Ali Zaidi
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan; COMSATS Institute of Information Technology, University Road, Abbottabad, Pakistan
Saeed Ullah Jan
COMSATS Institute of Information Technology, University Road, Abbottabad, Pakistan
Asif Waheed
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan
Syed Tauseef Mohyud-Din
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt Pakistan

RESUMO

In this article laminar flow of an incompressible electrically conducting viscous fluid is considered through a porous medium confined in a rectangular domain with infinite length and bounded by two moving preamble walls which enable the fluid to enter or exit during successive deformations. The solution to the problem is approximated by using a variation iteration method (VIM). To investigate the effect of nondimensional wall deformation α, permeation Reynolds number R, reciprocal of porosity coefficient K, and magnetic parameter M on the flow field, graphical results are presented. The analytical solution obtained by VIM is supported by numerical results and both show excellent agreement. The study of flow between dilating or squeezing porous walls is a drastic simplification of the transport of biological fluids through dilating or squeezing vessels.


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