%0 Journal Article %A Singh, Ajay Kumar %A Singh, P. P. %A Singh, N. P. %D 2011 %I Begell House %K three-dimensional, free convection, viscous fluid, porous medium %N 5 %P 451-460 %R 10.1615/JPorMedia.v14.i5.70 %T EFFECTS OF PERIODIC PERMEABILITY AND SUCTION VELOCITY ON THREE-DIMENSIONAL FREE CONVECTION FLOWPAST A VERTICAL POROUS PLATE EMBEDDED IN HIGHLY POROUS MEDIUM %U https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,16dbb61814d3d5b7,2e8225fd50f6a8b3.html %V 14 %X 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. %8 2011-05-18