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Magnetohydrodynamic flow of a Sisko fluid in annular pipe: a numerical study. (English) Zbl 1423.76491
Summary: 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.

##### MSC:
 76W05 Magnetohydrodynamics and electrohydrodynamics 76A05 Non-Newtonian fluids 76M20 Finite difference methods applied to problems in fluid mechanics
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