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

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v36.i2.30
pages 133-144

Variable Permeability Effect on Vortex Instability of Buoyancy-Induced Inclined Boundary Layer Flow in a Saturated Porous Medium

I. A. Hassanien
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Ahmed M. Elaiw
Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71511, Egypt
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

RÉSUMÉ

A linear stability analysis has been presented for the vortex instability of free convection boundary layer flow in a saturated porous medium adjacent to an inclined non-isothermal heated plate. The variation of permeability in the vicinity of the solid boundary has been approximated by an exponential function. Velocity and temperature profiles as well as dimensionless local heat transfer rates in the form of the Nusselt number for the base flow are presented for the uniform permeability (UP) and variable permeability (VP) cases. The critical Rayleigh numbers and the associated wave numbers are obtained for both UP and VP cases. It is found that the variable permeability effect tends to augment the heat transfer rate and destabilize the flow to the vortex mode of disturbance.


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