Analytical Investigation of MHD Jeffery–Hamel flow problem with heat transfer by differential transform method

Abstract

The aim of this research paper is to study and analyse the effects of Reynolds number, Hartmann number and thermal profile on velocity profiles of magneto hydro dynamics Jeffery–Hamel fluid flow between two non-parallel plates with angles 2θ and electromagnetic induction (E0). An approximate analytical solution of the problem that is formulated using the Navier–Stokes and continuity equations has obtained in the form of a convergent series using differential transform method. The nature and the variation of the velocity profiles of Jeffery–Hamel flow with heat transfer are discussed herewith considering different thermal profiles with distinct positive values of Ha and Re in both convergent and divergent channels. The authenticity and the usefulness of this method have demonstrated by comparing with the available results of optimal homotopy perturbation method and the numerical method.