Hall Effects on Unsteady Magnetohydrodynamic Flow of a Third Grade Fluid
K. Fakhar 1,2, XU Zhen-Li 3, CHENG Yi3
1Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 2300262Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, Malaysia3Department of Mathematics, University of Science and Technology of China, Hefei 230026
Hall Effects on Unsteady Magnetohydrodynamic Flow of a Third Grade Fluid
K. Fakhar 1,2;XU Zhen-Li 3;CHENG Yi3
1Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 2300262Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, Malaysia3Department of Mathematics, University of Science and Technology of China, Hefei 230026
摘要The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible third grade fluid bounded by an infinite porous plate is studied with the Hall effect. An external uniform magnetic field is applied perpendicular to the plate and the fluid motion is subjected to a uniform suction and injection. Similarity transformations are employed to reduce the non-linear equations governing the flow under discussion to two ordinary differential equations (with and without dispersion terms). Using the finite difference scheme, numerical solutions represented by graphs with reference to the various involved parameters of interest are discussed and appropriate conclusions are drawn.
Abstract：The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible third grade fluid bounded by an infinite porous plate is studied with the Hall effect. An external uniform magnetic field is applied perpendicular to the plate and the fluid motion is subjected to a uniform suction and injection. Similarity transformations are employed to reduce the non-linear equations governing the flow under discussion to two ordinary differential equations (with and without dispersion terms). Using the finite difference scheme, numerical solutions represented by graphs with reference to the various involved parameters of interest are discussed and appropriate conclusions are drawn.
K. Fakhar;XU Zhen-Li;CHENG Yi. Hall Effects on Unsteady Magnetohydrodynamic Flow of a Third Grade Fluid[J]. 中国物理快报, 2007, 24(5): 1129-1132.
K. Fakhar, XU Zhen-Li, CHENG Yi. Hall Effects on Unsteady Magnetohydrodynamic Flow of a Third Grade Fluid. Chin. Phys. Lett., 2007, 24(5): 1129-1132.
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