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Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method 被引量:11

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method
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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 a, 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. 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 a, 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第1期25-36,共12页 应用数学和力学(英文版)
关键词 MAGNETOHYDRODYNAMIC Jeffery-Hamel flow Adomian decomposition method nonlinear ordinary differential equation NANOFLUID magnetohydrodynamic, Jeffery-Hamel flow, Adomian decomposition method nonlinear ordinary differential equation, nanofluid
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