[01] K. R. Jayakumar, Department of Mathematics, K. S. Institute of Technology Bangalore, India. [02] A. T. Eswara, Department of Mathematics, GSSS Institute of Engineering and Technology for Women KRS Road, Mysore, India.

In this study, we examine the effect of variable viscosity on steady MHD free convection flow of an electrically conducting fluid over a porous plate, in the presence of suction and injection. The system of coupled nonlinear partial differential equations governing the non-similar flow has been solved numerically using implicit finite difference scheme along with a quasilinearization technique. Computations are performed and numerical results are displayed graphically to illustrate the influence of the different physical parameters such as magnetic field parameter, viscosity variation parameter, suction and injection on the flow field and heat transfer characteristics.

Skin Friction, Heat Transfer, Variable Viscosity, Suction, Injection

[01] E. M.Sparrow, R. D. Cess. “Free convection with blowing or suction”. Journal of Heat Transfer. 83 (1961), pp.387-396. [02] J. H. Merkin. “Free convection with blowing and suction.” Int. J. Heat Mass Transfer. 15 (1972), pp.989-999. [03] J. F. Clarke. “Transpiration and natural convection the vertical flat plate problem”. Journal of Fluid Mechanics. 57 (1973), pp.45-61. [04] J. H. Merkin. “The effect of blowing and suction on free convection boundary layers”. Int. J. of Heat and Mass Transfer. 18 (1975), pp.237-244. [05] M. Vedhanayagam, R. A. Altenkirch, R. Eichorn. “A transformation of the boundary layer equations for free convection past a vertical flat plate with arbitrary blowing and wall temperature variations”. Int. J. of Heat and Mass Transfer. 23 (1980), pp.1286-1288. [06] J. F. Clarkw, N. Riley. “Natural convection induced in a gas by the presence of a hot porous horizontal surface.” Q.J.Mech. Appl. Math. 28 (1975), pp.373-396. [07] H. T. Lin, W. S. Yu. “Free convection on a horizontal plate with blowing and suction”. Transactions of ASME Journal of Heat Transfer. 110 (1988), pp.793-796. [08] V.Kumaran, I.Pop. “Steady free convection boundary layer over a vertical flat plate embedded in a porous medium filled with water at 40C”. Int. J. of Heat and Mass Transfer. 49 (2006), pp.3240-3252. [09] K. R. Jayakumar, A. H. Srinivasa and A. T. Eswara. “Natural Convection MHD Flow over a Vertical Flat Plate with Suction and Injection.” III National conference on emerging trends in Fluid Mechanics and Graph Theory, Christ University, Bangalore, Feb. 2012. [10] A. T .Eswara, B. C. Bommaiah. “The effect of variable viscosity on laminar flow due to a point sink ”. Ind. J. Pure Appl. Math. 35 (6); (2004), pp.811-815. [11] K. R. Jayakumar, A. H. Srinivasa and A. T. Eswara, “Nonsimilar MHD boundary layers in two-dimensional forced flow with temperature-dependent viscosity.” Journal of Current Sciences, 1 (2009), pp.407 – 417/ [12] F. C. Lai, F. A. Kulacki, “The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium.” Int. J. Heat Mass Transfer, 33 (1990), pp.1028-1031/. [13] Jayakumar.K. R., Srinivasa. A. H and Eswara. A. T. (2009). “Axisymmetric MHD Boundary Layer flow and Heat Transfer with Variable Viscosity.” Int. J. of Computational Intelligence Research and Applications, vol.3, pp 271 – 276. [14] J. R. Radbill, G. A. McCue. “Quasilinearization and Nonlinear Problems in Fluid and Orbital Mechanics.” Elsevier, New York, (1970). [15] R. S. Varga, “Matrix Iterative Analysis,” Prentice-Hall, New Jersy, 2000.