BUOYANCY RATIO AND HEAT SOURCE EFFECTS ON MHD FLOW OVER AN INCLINED NON-LINEARLY STRETCHING SHEET

This paper numerically investigates the magnetohydrodynamic boundary layer convective flow of an electrically conducting fluid in the presence of buoyancy ratio, heat source, variable magnetic field and radiation over an inclined nonlinear stretching sheet under convective surface boundary conditions. The Rosseland approximation is adopted for thermal radiation effects and the non-uniform magnetic field applied in a transverse direction to the flow. The coupled nonlinear momentum, thermal and species concentration governing boundary layer equations are rendered into a system of third order momentum and second order energy and mass diffusion ordinary differential equations via similarity transformations with appropriate boundary conditions. The nonlinear, non-dimensional, well-posed boundary value problem is then solved with the implicit finite difference scheme known as Keller Box Method. A detailed study of the influence of the emerging dimensionless parameters governing the flow on velocity, temperature and concentration distributions is conducted. Also the evolution of skin friction coefficient, Nusselt number and Sherwood number values are depicted graphically. Numerical results are validated with some limiting cases documented in previously testified results, and good correlation is confirmed. This investigation is relevant to the delineation of space, astrophysical plasmas, polymer processing and extrusion of rubber and plastic sheets.