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MHD Unsteady Free Convection Flow past a Vertical Porous Plate
Author(s) -
Helmy Kamal Anwar
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199804)78:4<255::aid-zamm255>3.0.co;2-v
Subject(s) - grashof number , prandtl number , mechanics , laminar flow , natural convection , physics , magnetohydrodynamics , nusselt number , classical mechanics , heat transfer , reynolds number , magnetic field , turbulence , quantum mechanics
The present work is concerned with unsteady 2‐dimensional laminar free convection flow of an incompressible, viscous, electrically conducting (Newtonian or polar) fluid through a porous medium bounded by an infinite vertical plane surface of constant temperature. A uniform magnetic field acts perpendicular to the surface which absorbs the fluid with a suction velocity varying periodically with time about a non‐zero constant mean value. The equations of conservation of mass, momentum, angular velocity, and energy, which govern the flow and heat transfer problem, are solved analytically using regular perturbation techniques. The effects of material parameters such as Grashof number, Prandtl number, permeability parameter, suction parameter, and magnetic parameter on the velocity, angular velocity, and temperature are discussed. Numerical results are presented graphically and discussed.