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On Unsteady Magnetohydrodynamic Flow of Viscous Conducting Fluid
Author(s) -
Helmy K.A.
Publication year - 2000
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 - 10.1002/1521-4001(200010)80:10<665::aid-zamm665>3.0.co;2-z
Subject(s) - magnetohydrodynamic drive , prandtl number , mechanics , physics , classical mechanics , magnetic field , exact solutions in general relativity , compressibility , suction , boundary value problem , magnetohydrodynamics , parasitic drag , momentum (technical analysis) , viscous liquid , boundary layer , heat transfer , thermodynamics , finance , quantum mechanics , economics
This paper deals with the flow of an incompressible, viscous, and electrically conducting fluid over a non‐conducting infinite porous flat plate started impulsively into motion in its own plane in the presence of a transverse magnetic field and the plate is subjected to suction. Approximate and exact solutions have been obtained for the governing equations. Induced magnetic field distributions are obtained for any value of the magnetic Prandtl number and magnitude of the suction velocity. The energy equation, including viscous and Joule dissipation, has also been integrated. Analytic solutions of the resulting linear non‐homogeneous boundary value problem corresponding to the case of exact solution of the momentum equation are presented. An expression for the skin friction has been obtained. Numerical results are presented graphically and discussed.