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Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (1): 25-36.doi: https://doi.org/10.1007/s10483-012-1531-7

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Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

 M. SHEIKHOLESLAMI, D. D. GANJI, H. R. ASHORYNEJAD, H. B. ROKNI   

  1. Faculty of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Islamic Republic of Iran
  • 收稿日期:2010-12-14 修回日期:2011-09-15 出版日期:2011-12-29 发布日期:2012-01-01

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method

 M. SHEIKHOLESLAMI, D. D. GANJI, H. R. ASHORYNEJAD, H. B. ROKNI   

  1. Faculty of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Islamic Republic of Iran
  • Received:2010-12-14 Revised:2011-09-15 Online:2011-12-29 Published:2012-01-01

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2080

被引次数

100

摘要：

In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell’s electromagnetism governing equations are reduced to nonlinear ordinary differential equations to model the problem. The obtained results are well agreed with that of the Runge-Kutta method. The present plots confirm that the method has high accuracy for different α, Ha, and Re numbers. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated.

关键词: magnetohydrodynamic, Jeffery-Hamel flow, Adomian decomposition method, nonlinear ordinary differential equation, nanofluid

Abstract:

In this study, the effects of magnetic field and nanoparticle on the Jeffery-Hamel flow are studied using a powerful analytical method called the Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell’s electromagnetism governing equations are reduced to nonlinear ordinary differential equations to model the problem. The obtained results are well agreed with that of the Runge-Kutta method. The present plots confirm that the method has high accuracy for different α, Ha, and Re numbers. The flow field inside the divergent channel is studied for various values of Hartmann number and angle of channel. The effect of nanoparticle volume fraction in the absence of magnetic field is investigated.

Key words: magnetohydrodynamic, Jeffery-Hamel flow, Adomian decomposition method, nonlinear ordinary differential equation, nanofluid

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