Analysis of steady three{Dimensional hydromagnetic stagnation point flow towards a stretching sheet with heat generation

This paper is concerned with the three-dimensional hydromagnetic stag- nation point °ow towards a stretching sheet with heat generation. It is assumed that a uniform magnetic eld is applied normal to the plate which is maintained at a con- stant temperature. The coupled partial di®erential equations are reduced into ordinary di®erential equations by using similarity transformations. The series solutions of the coupled non-linear system is obtained using an analytical technique namely the homo-Topy analysis method (HAM). We use a two-stage method, where both the convergence control parameter and the initial guess are optimally selected to minimize the residual error due to the approximation. To do the latter, we consider a family of initial guesses parameterized by a constant which gives the decay rate of the solutions. In several cases considered, we are able to obtain solutions with extremely small residual errors after relatively few iterations are computed. The convergence, salient features of the °ow and heat transfer characteristics are analyzed and discussed in detail through graphs. We also discuss the e®ect of the strength of the uniform magnetic eld, the surface stretching velocity, and the heat generation/absorption coe±cient on both the °ow and heat transfer.