Numerical solution for heat transfer of non-newtonian second-grade fluid flow over stretching sheet via successive linearization method

The main purpose of this paper is to obtain the numerical solutions for the MHD flow of heat transfer of incompressible second grade fluid on a stretching sheet channel. The governing partial differential equations are converted into ordinary differential equation by using a similarity transformation. The nonlinear equation governing the flow problem is modeled and then solved numerically by means of a successive linearization method (SLM). The numerical results are derived in tables for comparisons. The important result of this comparison is to show the high precision of the SLM in solving system of nonlinear differential equations. The solutions take into account the behavior of Newtonian and non-Newtonian fluids. Graphical outcomes of various non-Newtonian parameters such as mixed convection parameter, Hartman, Deborah and Prandtl numbers on the flow, field are discussed and analyzed. Besides this the present results have been tested and compared with the available published results in a limiting manner and an excellent agreement is found. © International Association of Engineers.