APPLICATION OF DTM ON MHD JEFFERY HAMEL PROBLEM WITH NANOPARTICLE

Abstract

In this paper, the MHD Jeffery Hamel problem with nanoparticles for various values of Hartmann number has been investigated. The present study discusses about the velocity profile in the steady 2-dimensional flow of a MHD fluid with nanoparticles between two nonparallel walls. At first a similarity transformation is used to reduce the partial differential equations modeling the flow, to a single third-order nonlinear differential equation containing the semi angle between the plates, Reynolds number, the magnetic field strength and nanoparticle volume fraction as parameters. Differential Transformation method (DTM) has been used in order to study the problem and finally the obtained analytical results have been compared with numerical solutions and results achieved from pervious works in some numerical cases.