Effect of Thermal Radiation on an Unsteady Magnetohydrodynamic Double Diffusive Boundary Layer Flow past a Permeable Infinite Vertical Plate with Heat Source

Main Article Content

O. O. Kehinde
F. S. Akinboro
A. D. Adediipo


In this paper, effect of radiation and heat source parameters on temperature, concentration and velocity profile of an electrically conducting fluid passing through an infinite permeable plate is investigated. The governing equation, which was based on the balanced mass, linear momentum, energy and species concentration, were non-dimensionalized to reduce the equations to system of ordinary differential equations. This was then solved by perturbation technique. Effects of radiation parameter, heat source parameter, and Schmidt parameter are analyzed. We observed that the velocity and concentration profiles increase with increase in radiation parameter and heat source parameter. The temperature profile increases with decrease in radiation parameter with increases boundary layer thickness.

Magnetohydrodynamics (MHD), thermal radiation, heat source, permeable membrane, boundary layer.

Article Details

How to Cite
Kehinde, O. O., Akinboro, F. S., & Adediipo, A. D. (2020). Effect of Thermal Radiation on an Unsteady Magnetohydrodynamic Double Diffusive Boundary Layer Flow past a Permeable Infinite Vertical Plate with Heat Source. Asian Research Journal of Mathematics, 16(9), 122-134. https://doi.org/10.9734/arjom/2020/v16i930225
Original Research Article


Zueco J, Ahmed S. Combined heat and mass transfer by mixed convection MHD flow along a porous plate with chemical reaction in presence of heat source. Applied Mathematics and Mechanics. 2010;31(10):1217-1230.

Sharma PR, Kumar N, Sharma P. Influence of chemical reaction and radiation on unsteady MHD free convection flow and mass transfer through viscous incompressible fluid past a heated vertical plate immersed in porous medium in the presence of heat source. Appl. Math. Sciences. 2011;5(46):2249-2260.

Kesavaiah DC, Satyanarayana PV, Venkataramana S. Effects of the chemical reaction and radiation absorption on an unsteady MHD convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction. Int. J. of Appl. Math and Mech. 2011;7(1):52-69. Available:https://doi.org/10.1002/htj.21101

Ram P, Singh H, Kumar R, Kumar V, Joshi VK. Free convective boundary layer flow of radiating and reacting MHD fluid past a cosinusoidally fluctuating heated plate. International Journal of Applied and Computational Mathematics. 2017;3(1):261-294.

Sagar BV, Raju MC, Varma SVK, Venkataramana S. Unsteady MHD free convection boundary layer flow of radiation absorbing Kuvshinski fluid through porous medium. Rev. Adv. Phys. Theor. Appl. 2014;1(3):48-62.

Kesavaiah DC, Md IS, Jahagirdar RS. MHD free convection heat and mass transfer flow past an accelerated vertical plate through a porous medium with effects of hall current, rotation and Dufour effects. Suraj Punj Journal for Multidisciplinary Research. 2018;8(11):46-62.

Srinathuni Lavanya, Devika B, Chenna Kesavaiah D. Radiation effect on unsteady free convective MHD flow of a viscoelastic fluid past a tilted porous plate with heat source. Journal of Xidian University. 2020;14(4):2298–2312.

Singh CB. Steady flow of viscous incompressible fluid between two parallel infinite plates in presence of transverse magnetic field; 1989.

Ravikumar V, Raju MC, Raju GSS. Theoretical investigation of an unsteady MHD free convection heat and mass transfer flow of a non-Newtonian fluid flow past a permeable moving vertical plate in the presence of thermal diffusion and heat sink. In International Journal of Engineering Research in Africa. Trans Tech Publications Ltd. 2015;16(2):90-109.

Sharma RP, Ravikumar V, Raju MC, Raju GSS, Varma SVK. Rotational impact on unsteady MHD double diffusive boundary layer flow over an impulsively emerged vertical porous plate. Journal of International Academy of Physical Sciences. 2016;20(4):303-317.

Ramesh K, Eytoo SA. Effects of thermal radiation and magnetohydrodynamics on Ree-Eyring fluid flows through porous medium with slip boundary conditions. Multidiscipline Modeling in Materials and Structures. 2019;15(2):492-507. Available:https://doi.org/10.1108/MMMS-05-2018-0103

Anuradha S, Priyadharshini P. Head and mass transfer on unsteady MHD Free convective flow pass a semi-infinite vertical plate with soret effect. The International Journal of Science and Technoledge. 2014;2(4):328.

Campos LMBC. On vertical hydromagnetic waves in a compressible atmosphere under an oblique magnetic field. Geophysical & Astrophysical Fluid Dynamics. 1985;32(3-4):217-272. Available:https://doi.org/10.1080/03091928508208786

Soundalgekar VS, Takhar H, Singh M. Velocity and temperature field in MHD Falkner-Skan flow. Journal of the Physical Society of Japan. 1981;50(9):3139-3143. Available:https://doi.org/10.1143/JPSJ.50.3139

Jha BK. Free-convection flow through an annular porous medium. Heat and Mass Transfer. 2005;41(8):675-679.

Chamkha A. MHD double diffusive and chemically reactive flow through porous medium bounded by two vertical plates; 2013.

Makinde OD. On MHD boundary‐layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux. International Journal of Numerical Methods Heat & Fluid Flow. 2009;19(3):546-554. Available:https://doi.org/10.1108/09615530910938434

Sharma BK, Singh AP, Yadav K, Chaudhary RC. Effects of chemical reaction on magneto-micropolar fluid flow from a radiative surface with variable permeability. International Journal of Applied Mechanics and Engineering. 2013;18(3):833-851. Available:https://doi.org/10.2478/ijame-2013-0050