[01] Oyelami Funmilayo Helen, Department of Mathematical and physical sciences, Afe Babalola University, Ado Ekiti, Nigeria.

In the present context, the effects of magnetic field and wall slip condition is considered on an unsteady, Newtonian, incompressible, viscous fluid flowing through a non-Darcy porous medium. The governing momentum and energy equations have been solved by using Crank Nicolson’s finite technique which is fast converging and unconditionally stable. Numerical results have been presented by showing the influence of physical parameters on velocity, temperature and concentration profiles. In all studied cases, velocity, temperature and concentration profiles are affected by all the considered parameters.

Viscous Fluid, Wall Slip, Newtonian Fluid, Thermal Radiation, Magnetic Field

[01] O. D. Makinde, B. I. Olajuwon and A. W Gbolagade, Adomian decomposition approach to a boundary layer flow with thermal radiation past a moving vertical porous plate. Int. journal of applied maths and Mech, 3 (3). 62-70. 2007. [02] P. Chandran, N. C. Sacheti and A. K. Singh, unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion. J Phys Soc Jpn, 67. 124-129. 1998. [03] O. D. Makinde, E. Osalusi, MHD Steady flow in a channel with slip at the permeable boundaries. Rom. J. Phys, 51 (3–4). 319-328. 2006. [04] A Mehmood and Ali. The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel. Rom. Journal of Physics, 52 (1-2). 85-91. 2007. [05] A. R. A. Khaled, K. Vafai, the effect of the slip condition on stokes and coutte flows due to an oscillating wall exact solutions. Int. J. Nonlinear Mech, 39 795-809. 2004. [06] Samiulhaq, C. Fetecau, I. Khan, F. Ali and S. Shafie, Radiation and porosity effects on the magnetohydrodynamic flow past an oscillating vertical plate with uniform heat flux. Z Naturforsch, 67a. 572-580. 2012. [07] M. K. Mazumdar and R. K. Deka, MHD flow past an impulsively started infinite vertical plate in presence of thermal radiation, Rom. Journal of Physics, 52 (5-7) 565-573. 2007. [08] P. Sibanda and O. D. Makind, A mathematical introduction to incompressible flow. University of Zimbabwe Publications, 103-104. 2000. [09] M. Yurusoy and M. Pakdemirili. Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet. Mechanical research communication, 26 (2). 171-175. 1999. [10] W. Marques Jr., G. M. Kremer, F. M. Shapiro, Couette flow with slip and jump boundary conditions. Continumm Mech. Thermodynam, 12. 379-386. 2000. [11] G. Astarita, Mass transfer with Chemical reaction, Elsevier Publishing Company, Amsterdam. 1967. [12] A. Apelblat, Mass transfer with a chemical reaction of the first order effect of axial diffusion, The Chemical Engineering Journal, 23 (2), 93-103. 1982. [13] C. Chang and K. T. Kang, Radiation-natural convection interaction in two dimensional complex enclosures, ASME, Journal of heat transfer, 105, 89-95. 1983. [14] R. Muthucumaraswamy, P. Ganesan, Effect of the chemical reaction and injection on flow characteristics in an unsteady motion of an isothermal plate, J. Appl. Mech. Tech. Phys., 42, 655-667. 2001. [15] R. A Mohamed, Double-Diffusive Convection-Radiation Interaction on Unsteady MHD Flow over a Vertical Moving Porous Plate with Heat Generation and Soret Effects, Applied Mathematics Science, 3 (13), 629-651. 2009.