Abstract
In this paper, magneto hydro dynamic (MHD) Jeffery-Hamel flow with nanoparticle has been investigated and its nonlinear ordinary differential equation has been solved through homotopy perturbation method (HPM). The governing boundary layer equations are written into a dimensionless form by similarity transformations. The effect of semi-angle has also been investigated in both convergent and divergent channel. A closed agreement between the obtained results and forth order Runge Kutta solution has been established. The proposed procedure can be applied to investigate the effect of other parameters on current problem. Key words: Magneto hydro dynamic flow, Jeffery Hamel problem, homotopy perturbation method, analytical solution.
Highlights
The incompressible viscous fluid flow through convergent divergent channels is one of the most applicable cases in fluid mechanics, civil, environmental, mechanical and biomechanical engineering
The aim of the present study is to investigate the magneto hydro dynamics flow between two non-parallel walls by using analytical method
We want to study the effect of semi-angle between two walls on velocity profile
Summary
The incompressible viscous fluid flow through convergent divergent channels is one of the most applicable cases in fluid mechanics, civil, environmental, mechanical and biomechanical engineering. After introducing the problem of the fluid flow through a divergent channel by Jeffery and Hamel in 1915 and 1916, respectively, it is called Jeffery-Hamel flow. Magneto hydro dynamics (MHD) is important in the magnetic confinement of plasmas in experiments of controlled thermonuclear fusion. Most of the phenomena in engineering such as present problem are essentially nonlinear. Because of the difficulties of solving nonlinear equations, using helpful and simple approaches are very important. A great deal of interest has been focused on the application of homotopy perturbation method to solve a wide variety of problems (Shakeri et al, 2012; Si et al, 2010)
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