Analytical Investigation of Jeffery-Hamel Flow with High Magnetic Field and Nano Particle by RVIM

Publish Year:

1391

نوع سند:

مقاله ژورنالی

زبان:

English

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شناسه ملی سند علمی:

JR_IJE-25-3_029

تاریخ نمایه سازی: 17 خرداد 1393

Abstract:

Many researchers have been interested in application of mathematical methods to find analytical solutions of nonlinear equations and for this purpose, new methods have been developed. One of thenewest analytical methods to solve nonlinear equations is Reconstruction of variational IterationMethod (RVIM) which is an accurate and a rapid convergence method in finding the approximate solution for nonlinear equations. By applying Laplace Transform, RVIM overcomes the difficulty of the perturbation techniques and other variational methods in case of using small parameters andLagrange multipliers, respectively. In this study RVIM is applied for the effects of magnetic field and nano particle on the Jeffery-hamel flow. The traditional Navier-Stokes equation of fluid mechanics and Maxwell’s electromagnetism governing equations are reduced to nonlinear ordinary differentialequations to model the problem. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. Finally the effect of nano particle volume fraction in the absence of magnetic field is investigated, too. The validity of RVIM method is ascertained by comparing our results with numerical (Runge Kutta method) results.

Keywords:

Magneto Hydro Dynamic , Jeffery–hamel Flow , RVIM , Nonlinear Ordinary Differential Equation , Nanofluid

Authors

a.aimani
a.a imani

Islamic Azad University, Babol Branch, Babol, Iran

yrostamian
y rostamian

Faculty of Mechanical Engineering, Islamic Azad University, Sari Branch, Sari, Iran

d.dganji
d.d ganji

Department of Mechanical Engineering, Babol University of Technology, P.O. Box ۴۸۴, Babol, Iran.

h.b rokni

University of Denver, Mechanical and Materials Engineering, ۲۳۹۰ S York St., Denver, CO, USA.