Keywords:-
Article Content:-
Abstract
In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to time dependent pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using perturbation and Eigenfunction expansion techniques. The effects of some non-dimensional parameters are graphically represented and interpreted. It is observed that primary velocity is maximum when pressure gradient is time dependent as compared to when it is independent on time. Also, increase in temperature dependent pressure gradient leads to oscillation in primary velocity along distance y.
References:-
References
E.O. Anyanwu, R.O. Olayiwola, M.D. Shehu and A.Lawal. Radiative Effects on Unsteady MHD Couette Flow through a Parallel Plate with Constant Pressure Gradient. Asian Research Journal of Mathematics. 2020; 16(9): 1-19.
Olayiwola R.O. Modelling and Simulation of Combustion Fronts in Porous Media. Journal of the Nigerian Mathematical Society 2015: 34, 1-10
Jana M, Das S, Jana RN. Unsteady Couette flow through a porous medium in a rotating system. Open Journal of fluid dynamics. 2012; 2: 149-158
Seth GS, Ansari MS and Nandkeolyar R. Effects of rotation and magnetic field on unsteady Couette flow in a porous channel. Journal of applied fluid mechanics. 2011; 4: 95-103.
Seth GS, Ansari MS and Nandkeolyar R. Unsteady hydromagnetic Couette flow within porous plates in a rotating system. Advanced Applied Mathematical Science. 2010; 3: 2919-2932.
Sharma PR, Yadav GR. Heat transfer through three dimensional Couette flow between a stationary porous plate bounded by porous medium and moving porous plates. Ultra Sci. Phys. Sci. 2005; 17(3): 351-360.
Sharma PR, Gaur YN, Sharma RP. Steady laminar flow and heat transfer of a non-Newtonian fluid through a straight horizontal porous channel in the presence of heat source. Ind. J. Theo. Phys. 2005; 53(1): 37-47.
Olayiwola RO, Ayeni RO. A Mathematical Model and Simulation of In-situ Combustion in Porous Media. Journal of Nigerian Mathematical Physics 2012; 21: 545-554.
Olayiwola RO. A Mathematical Model of Solid Fuel Arrhenius Combustion in a Fixed-Bed. International Journal of Numerical Mathematics 2011; 6: 214-233.
Bhattacharyya K, Hayat T, Alsaedi A. Analytic solution of Magnethydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer. Journal of Chinese Physics. 2013; 8 Article ID 024702.
Mustafa M, Hayat T, Pop I and Aziz A. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Transfer –Asian Resc. 2011; 40: 563-576.
Mukhopadhyay S, Bhattacharyya K, Layek GC. Steady boundary layer flow and heat transfer over a porous moving plate in the presence of thermal radiation. International Journal of heat and Mass transfer. 2011; 54: 2751-2757.
Makinde OD and Mhone PY. Heat transfer to MHD oscillatory flow in a channel filled with porous medium. Rom. Journ. Phys. 2005; 50: 931-938.
Malapati V, Polarapu P. Unsteady MHD Free Convective Heat and Mass Transfer in a Boundary Layer Flow Past a Vertical Peamable Plate with Thermal Radiation and Chemical Reaction. Procedia Engineering 2015; 127: 791-799.
Chamka AJ and Ahmed SE, unsteady MHD heat and mass transfer by mixed convection flow in the forward stagnation region of a rotating sphere at different wall conditions, Chemical Engineering Communications 2012; 199: 122-141
Elbashbeshy EMA and Aldawody DA. The effects of thermal radiation and magnetic field on unsteady mixed convection flow and heat transfer over a stretching in the presence of internal heat generation/absorbtion Int. J. Phy. Sci. 2011; 6: 1540-1548.
Dulal Pal, Bulal Pal Talukdar. The bouancy and chemical reaction effects on MHD mixed convection heat and mass transfer in a porous medium with thermal radiation and ohmic heating, Commun. Nonlinear Sci.Numer Simulat, 2010; 15: 2878-2893.
Mohammed I, Gangadhar S. and Bhaskar RN. Radiation and mass transfer effects on MHD oscillatory flow in a channel filled with porous medium in the presence of chemical reaction. Journal of Applied Fluid Mechanics 2015; 8: 529-537.