Magnetohydrodynamic flow of a Sisko fluid in annular pipe: a numerical study.

*(English)*Zbl 1423.76491Summary: 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 |

##### 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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\textit{M. Khan} et al., Int. J. Numer. Methods Fluids 62, No. 10, 1169--1180 (2010; Zbl 1423.76491)

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