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Analytical and Numerical Solution of Viscous Fluid Flow with the Effects of Thermal Radiation and Chemical Reaction Past a Vertical Porous Surface
Author(s) -
Partha Protim Gharami,
S. M. Arifuzzaman,
Sk. RezaERabbi,
Mohammad Shakhaoath Khan,
S. F. Ahmmed
Publication year - 2020
Publication title -
heat and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 29
ISSN - 0392-8764
DOI - 10.18280/ijht.380313
Subject(s) - grashof number , prandtl number , mechanics , magnetohydrodynamic drive , thermal radiation , porous medium , fluid dynamics , boundary value problem , heat transfer , thermodynamics , classical mechanics , magnetohydrodynamics , nusselt number , materials science , physics , mathematics , porosity , mathematical analysis , reynolds number , magnetic field , quantum mechanics , turbulence , composite material
Magnetohydrodynamic (MHD) unsteady flow of incompressible, electrically conducting, and viscous fluid passing through a vertical porous plate is explored in this investigation where the impact of thermal radiation and chemical reaction are presented. A nonlinear two-dimensional unsteady flow model is created to decompose heat and mass transfer of this fluid, which is shaped by taking appropriate boundary conditions. The governing equations are solved analytically with satisfactory boundary conditions by using a two-term perturbation technique. The analytical outcomes are illustrated graphically by using MATHEMATICA 7.0. The fundamental equations are also solved numerically by utilizing explicit finite difference methodology (EFDM) with the help of Compaq Visual Fortran 6.6a. The numerical arrangement is also depicted graphically to examine the outcomes. The acquired pertinent parameters are analysed conveniently, including thermal Grashof number, thermal radiation parameter, and chemical reaction parameter, the permeability of the porous medium, magnetic parameter, Prandtl number, modified Grashof number, and Schmidt number. It is observed from our experiment that the velocity and concentric profiles decline when the reaction rate between the molecules is high. Furthermore, a suitable validation has been done with the previously published articles, and a favorable agreement is observed.

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