New Analytical Study for Nanofluid between Two Non-Parallel ‎Plane Walls (Jeffery-Hamel Flow)‎

Abstract

The aim of this paper is to analyze the problem of magneto hydrodynamic Jeffrey-Hamel flow (JHF) with nanoparticles. The governing equations for this problem are reduced to an ordinary differential equation and it is solved using new analytical method (NAM) and fourth-order Runge-Kutta Method (RK ∼ 4). The NAM is an iterative method that relies mainly on derivatives with Taylor expansion interference. In addition, the velocity profile has been computed and shown for various values of physical parameters. The objective of the present work is to investigate the effect of the angles between the plates, Reynold number, magnetic number and nanoparticles volume fraction on the velocity profile.

Keywords

• magneto hydrodynamic flow
• jeffrey-hamel flow
• nanoparticle
• non-linear ordinary differential equation
• analytical solution‎