Magnetohydrodynamic flow of a Sisko fluid in annular pipe: A numerical study |
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Authors: | Masood Khan Qaisar Abbas Kenneth Duru |
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Affiliation: | 1. Department of Mathematics, Quaid‐i‐Azam University, Islamabad 44000, Pakistan;2. Department of Information Technology, Uppsala University, SE‐75105 Uppsala, Sweden |
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Abstract: | This paper presents a numerical study for the unsteady flow of a magnetohydrodynamic (MHD) Sisko fluid in annular pipe. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field. Based on the constitutive relationship of a Sisko fluid, the non‐linear equation governing the flow is first modelled and then numerically solved. The effects of the various parameters especially the power index n, the material parameter of the non‐Newtonian fluid b and the magnetic parameter B on the flow characteristics are explored numerically and presented through several graphs. Moreover, the shear‐thinning and shear‐thickening characteristics of the non‐Newtonian Sisko fluid are investigated and a comparison is also made with the Newtonian fluid. Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | MHD flow Sisko fluid annular pipe numerical study non‐Newtonian fluid incompressible flow laminar flow partial differential equations finite difference methods |
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