MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink

Hillary Muzara and Stanford Shateyi
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Hillary Muzara: Department of Mathematics and Computational Sciences, Faculty of Science, University of Zimbabwe, Mt. Pleasant, Harare P.O. Box MP167, Zimbabwe
Stanford Shateyi: Department of Mathematics and Applied Mathematics, School of Natural and Mathematical Sciences, University of Venda, P. Bag X5050, Thohoyandou 0950, South Africa

Mathematics, 2021, vol. 9, issue 16, 1-23

Abstract: This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form.

Keywords: MHD boundary layer flow; Jeffrey model; spectral collocation; bivariate spectral quasi-linearisation; chemical reaction; thermal radiation; heat source or sink; viscous dissipation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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