Numerical and analytical solutions of an Oldroyd 8‐constant MHD fluid with nonlinear slip conditions |
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| Authors: | M Hameed R Ellahi |
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| Institution: | 1. Division of Mathematics and Computer Science, University of South Carolina Upstate, Spartanburg, SC 29303, U.S.A.;2. Department of Mathematics, Faculty of Applied Science, IIU, 45320 Islamabad, Pakistan |
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| Abstract: | The flow of an Oldroyd 8‐constant non‐Newtonian MHD fluid is investigated analytically and numerically. The governing equations for the flow field are derived for a steady one‐dimensional flow. The effect of constant applied magnetic field is included and its influence on the flow field is studied. The nonlinear governing equation along with nonlinear boundary conditions is solved analytically and the solution is obtained in an elegant way. Numerical solutions are also obtained using higher order Chebyshev spectral methods. The influence of various non‐Newtonian parameters and applied magnetic field is investigated. Results showing the effect of various physical parameters of the flow are presented and investigated. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear equations Chebyshev spectral methods numerical solution analytical solution no slip boundary conditions Oldroyd 8‐constant MHD fluid |
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