MHD Stagnation-Point Flow towards a Heated Stretching Sheet

Abstract

Boundary layer flow near a stagnation-point and heat transfer over a stretching sheet is very important due to its ever increasing wide range of applications. A similarity analysis is proposed to investigate the structure of the boundary layer near the stagnation-point region scaling group of transformation. A special form of Lie group transformations will be applied to find the similarity solution. The main advantage of this method is that no ad hoc assumptions or a prior knowledge of the equations under investigation is needed. Similarity solutions reduce the number of independent variables of the problem. As a result the governing non-linear partial differential equations reduce to non-linear ordinary differential equations. These equations are solved numerically using the Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme. Numerical results are obtained for the velocity and temperature. The obtained results are presented graphically and corresponding physical aspect of the problem are discussed.