State space approach to magnetohydrodynamic flow of perfectly conducting micropolar fluid with stretch |
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Authors: | Magdy A Ezzat Shreen El‐Sapa |
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Institution: | 1. Department of Mathematics, Faculty of Education, Alexandria University, , Alexandria, Egypt;2. Department of Mathematics, Faculty of Science, Damanhour University, , Damanhour, Egypt |
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Abstract: | In this work we introduce a model of the boundary layer equations for a perfect conducting micropolar fluid with stretch, bounded by an infinite vertical flat plane surface of a constant temperature. This model is applied to study the effects of free convection currents on the flow of the fluid in the presence of a constant magnetic field. The state space technique is adopted for the solution of a one‐dimensional problem for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a thermal shock problem. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | magnetohydrodynamic boundary layer micropolar fluid with stretch free convection flow generalized heat equation state space approach numerical results |
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