Soret Effect on MHD Free Convection through a Porous Inclined Channel in the Presence of Thermal Radiation

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International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue IV, July 2020 | ISSN 2454-6194

 Soret Effect on MHD Free Convection through a Porous Inclined Channel in the Presence of Thermal Radiation

 Achogo, Wisdom Hezekiah1, Adikabu, Ile Nwachukwu2, Awortu, Ibifaa3, Eleonu, Blessing Chikaodi4
1,2,3Department of Mathematics/Statistics, Ignatius Ajuru University of education, P.M.B 5047 Rumuolumeni, Nigeria
4 Department of Mathematics/Statistics, Captain Elechi Amadi Polytechnic Rumuola, P.M.B 5936 Port Harcourt, Nigeria

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Abstract: The theoretical examination of the effects of velocity, temperature, concentration parameter variations and magnetic fields on convective periodic flow was studied on an electrically conducting, viscous and incompressible fluid through a porous medium in an inclined plane. A set of coupled ordinary differential equations arising from the formulation of the problem were solved analytically by method of undetermined coefficient. The solution to the problem is obtained thereafter and with realistic parameter values the results were displayed in plots. The effects of parameter variations on velocity, concentration and temperature fields were discussed with the help of the plots. From the plots, the following results have been drawn; it is observed that increase in the Prandtl number decreases the temperature, increase in the Reynolds number decreases the temperature and concentration of the fluid, increase in the Schmidt number decreases the concentration making it more significant at the centre of the flow region, increase in permeability leads to increase in the velocity and increase in the magnetic field leads to decrease in the velocity, increase in Soret number increases both the concentration and velocity profiles.
Keywords: Soret number, free convection, magnetohydrodynamics, porous medium, inclined channel, thermal radiation