DTM-Pade solution for heat transfer of hydromagnetic flow over a vertical plate

Abstract

This study deals with heat transfer of hydromagnetic flow over a vertical plate. The similarity solution is used to transform the system of partial Differential equations to ordinary non-linear Differential equations. The non-linear equations of the flow field had been solved using Differential transformation method empowered by Pade approximants which compared well with the fourth order Runge-Kutta method. The results are presented graphically and discussed. It is found that power index, variable magnetic field, prandtl and other quantities of physical interest significantly influenced the velocity and temperature profile.