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Journal of Porous Media

Impact factor: 0.707

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i5.70
pages 451-460

EFFECTS OF PERIODIC PERMEABILITY AND SUCTION VELOCITY ON THREE-DIMENSIONAL FREE CONVECTION FLOWPAST A VERTICAL POROUS PLATE EMBEDDED IN HIGHLY POROUS MEDIUM

Ajay Kumar Singh
Department of Mathematics, C. L. Jain College, Firozabad-283 203, India
P. P. Singh
Department of Mathematics, C. L. Jain (P.G.) College, Firozabad 283203, India
N. P. Singh
Department of Applied Sciences and Humanities, Rama Institute of Engineering and Technology, Mandhan, Kanpur-209217; and Department of Humanities and Applied Science, Amity University, Lucknow 226010, India

ABSTRACT

The present paper deals with analytical solution of three-dimensional (3D) free convection, laminar flow of an incompressible viscous fluid past an infinite, vertical, and porous plate embedded within a highly porous medium. It is assumed that the plate is subjected to a periodic suction velocity normal to the plate in the presence of a temperature-dependent heat sink. The periodicity of the suction velocity, permeability, and heat sink are assumed to be of equal magnitude and wavelength. Approximate solutions for the potential flow, cross flow, and temperature distribution are obtained using perturbation techniques and the results are shown. Expressions for skin-friction due to the main flow and the rate of heat transfer at the plate are derived and discussed and their numerical values for various physical parameters are presented. It is observed that (1) an increase in the Prandtl, Grashof, and Reynolds numbers of permeability increases the velocity of the main flow, while an increase in the suction parameter decreases the main flow; (2) an increase in the suction parameter or Reynolds number decreases the cross flow while an increase in permeability increases the cross flow; and (3) an increase in the Prandtl and Reynolds numbers or the suction decreases the temperature. The results of the some earlier authors are deduced as particular cases of the present study.