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Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating
International Journal of Theoretical and Applied Mathematics
Volume 3, Issue 3, June 2017, Pages: 110-121
Received: Mar. 30, 2017; Accepted: Apr. 22, 2017; Published: May 22, 2017
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Author
Shamshuddin MD., Department of Mathematics, Vaagdevi College of Engineering, Warangal, India
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Abstract
To explore numerical simulation of transport in rheological materials processing, in the current paper, a finite element computational solution is presented for magnetohydrodynamic (MHD), incompressible, radiative and chemically-reacting micropolar fluid flow, heat and mass transfer adjacent to a vertical porous plate embedded in a saturated homogenous porous medium. Rosseland’s diffusion approximation is used to describe the radiative heat flux in the energy equation. A Darcy model is employed for the porous medium. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. The numerical solutions of the system of non-linear partial differential equations which are rendered into non-dimensional form are obtained using a Galerkin formulation with a weighted residual scheme. The impact of Eringen coupling number, radiation-conduction number, chemical reaction parameter, plate moving velocity parameter, magnetic parameter, thermal Grashof number, species (solutal) Grashof number, permeability parameter, Eckert number on linear velocity, micro-rotation, temperature and concentration profiles. Furthermore, the influence of selected thermo-physical parameters on friction factor, surface heat transfer and mass transfer rate is also tabulated. The finite element solutions are verified with solutions from several limiting cases in the literature. Interesting features in the flow are identified and interpreted.
Keywords
Radiative Heat Transfer, Chemical Reaction, Joule Dissipation, Buoyancy, Micropolar Fluid, FEM
To cite this article
Shamshuddin MD., Heat and Mass Transfer on the Unsteady MHD Flow of Chemically Reacting Micropolar Fluid with Radiation and Joule Heating, International Journal of Theoretical and Applied Mathematics. Vol. 3, No. 3, 2017, pp. 110-121. doi: 10.11648/j.ijtam.20170303.13
Copyright
Copyright © 2017 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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