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Volume 9, Issue 1, February 2020, Page: 1-13
Unsteady Jeffrey-Hamel Flow in the Presence of Oblique Magnetic Field with Suction and Injection
Edward Richard Onyango, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Mathew Ngugi Kinyanjui, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Mark Kimathi, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya; Department of Mathematics, Statistics and Actuarial Science, Machakos University, Machakos, Kenya
Surindar Mohan Uppal, Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Received: Feb. 3, 2020;       Accepted: Feb. 13, 2020;       Published: Feb. 25, 2020
DOI: 10.11648/j.acm.20200901.11      View  244      Downloads  157
Abstract
In this study, the magnetohydrodynamic flow of an incompressible, viscous electrically conducting fluid through a convergent-divergent channel in the presence of an oblique variable magnetic field to the flow with a case of suction and injection on the walls has been investigated. The velocity profiles, temperature profiles, the effects of injection and suction, time, induced magnetic field and the effects of varying various parameters on the flow have been investigated. The equations governing the MHD flow are solved by the collocation method and the results presented in graphs. The velocity, temperature, and magnetic induction increases with the increase in the suction parameter and decrease in the wedge angle while velocity, temperature, and magnetic induction reduce with the increase in the injection parameter. The velocity, temperature and magnetic induction increase with the increase in the Hartmann number. The results of this study will be useful information to the engineers to improve the performance and efficiency of machines in the industrial, environmental, aerospace, chemical, civil, mechanical and biomechanical engineering applications.
Keywords
Jeffrey-Hamel Flow, Newtonian Fluid, Inclined Magnetic Field, Unsteadiness Parameter
To cite this article
Edward Richard Onyango, Mathew Ngugi Kinyanjui, Mark Kimathi, Surindar Mohan Uppal, Unsteady Jeffrey-Hamel Flow in the Presence of Oblique Magnetic Field with Suction and Injection, Applied and Computational Mathematics. Vol. 9, No. 1, 2020, pp. 1-13. doi: 10.11648/j.acm.20200901.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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