ANALYSIS OF MAGNETOFLUID DYNAMIC RADIATION-CONVECTION BOUNDARY-LAYER FLOW WITH THE COMBINED HAM-PADÉ APPROXIMANTS METHOD

The purpose of this study is to implement a powerful semi-analytical method which is a combination of the homotopy analysis method (HAM) and Padé approximants, for solving coupled magnetohydrodynamic radiative-convective boundary-layer flows. Comparisons between the HAM-Padé and an optimized Runge-Kutta numerical quadrature reveal that the new technique is a promising tool for solving MHD boundary-layer equations. The presence of a heat sink is shown to reduce temperature, and the presence of a heat source elevates temperature in the boundary layer transverse to the sheet. Increasing thermal radiation flux strongly enhances temperature, in the boundary layer. Increasing magnetohydrodynamic parameter elevates temperature and decelerates the boundary layer flow, reducing the momentum boundary layer thickness. The HAM-Padé simulation demonstrates excellent potential for electrically-conducting boundary-layer convection flows and holds significant promise in other nonlinear multi-physical viscous flow problems in mechanical and chemical engineering.

Homotopy analysis method, Padé approximants, MHD, Boundary-layers, Convection, auxillary function, semi-analytical, magnetic materials processing