MHD Natural Convection Casson Fluid Flow over a Non-Isothermal Stretching Sheet Embedded in a Porous Medium
Author(s) -
Bidemi Olumide Falodun,
Michael Ojo Oke,
Olumuyiwa Oludare Fagbohun
Publication year - 2018
Publication title -
journal of engineering research and reports
Language(s) - English
Resource type - Journals
ISSN - 2582-2926
DOI - 10.9734/jerr/2018/v2i310957
Subject(s) - magnetohydrodynamics , homotopy analysis method , natural convection , mechanics , partial differential equation , isothermal process , porous medium , ordinary differential equation , flow (mathematics) , fluid dynamics , physics , materials science , nonlinear system , thermodynamics , convection , differential equation , porosity , mathematics , mathematical analysis , magnetic field , composite material , quantum mechanics
In the present study, Magnetohydrodynamics (MHD) natural convection Casson fluid flow over a non-isothermal stretching sheet embedded in a porous medium is considered. The set of governing differential equations are simplified by similarity variables into coupled ordinary differential equations. The defined stream functions satisfied the continuity equation. Roseland approximation is utilized and the present study is therefore limited to an optically thick fluid. The transformed set of coupled nonlinear ordinary differential equations are then solved numerically via spectral homotopy analysis method (SHAM). Results revealed that the Magnetic parameter (M) reduces the velocity profile but produce a significant increase in the temperature profile. Also, it is observed that increasing the thermal radiation parameter increases the thermal condition of the fluid.
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