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Effect of magnetic field on the flow of a fourth order fluid |
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| Authors: | T. Hayat H. Mambili-Mamboundou C.M. Khalique F.M. Mahomed |
| Affiliation: | aDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;bInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa;cSchool of Computational and Applied Mathematics, Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, South Africa |
| Abstract: | A study is made of the flow engendered in a semi-infinite expanse of an incompressible non-Newtonian fluid by an infinite rigid plate moving with an arbitrary velocity in its own plane. The fluid is considered to be fourth order and electrically conducting. A magnetic field is applied in the transverse direction to the flow. The nonlinear problem is solved for constant magnetic field analytically using reduction methods as well as numerically and expressions for the velocity field are obtained. Limiting cases of interest can be deduced by choosing suitable parametric values. |
| Keywords: | Magnetic field Fourth order fluid Lie symmetry |
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