伴有磁场和纳米固体颗粒时的Jeffery-Hamel流动解析研究——Adomian分解法

M·塞克厚勒什勒米; D·D·甘集; H·R·阿秀讷加德; H·B·若克尼

doi:10.3879/j.issn.1000-0887.2012.01.003

伴有磁场和纳米固体颗粒时的Jeffery-Hamel流动解析研究——Adomian分解法

doi: 10.3879/j.issn.1000-0887.2012.01.003

巴博尔科技大学机械工程学院,巴博尔 P.O.Box 484,伊朗

详细信息

中图分类号: O361.3;O368
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出版历程
- 收稿日期: 2010-12-20
- 修回日期: 2011-09-15
- 刊出日期: 2012-01-15

Analytical Investigation of Jeffery-Hamel Flow With High Magnetic Field and Nano Particle by Adomian Decomposition Method

Faculty of Mechanical Engineering, Babol University of Technology, Babol, P.O.Box 484, Islamic Republic of Iran

摘要

摘要: 用一种强有力的解析方法，称为Adomian分解法(ADM)，来研究磁场和纳米颗粒对Jeffery-Hamel流动的影响．将该问题模型的控制方程，即将传统的流体力学Navier-Stokes方程和Maxwell电磁方程，简化为非线性的常微分方程．该方法得到的结果与Runge-Kutta方法得到的数值结果相一致，结果用表格列出．不同α，Ha和Re数下的图形表明，本方法可以得到高精度的结果．首先对不同的Hartmann数和管壁倾角，研究喇叭形管道中的流场；最后在没有磁场作用时，研究纳米固体颗粒体积率的影响．
- 磁流体动力学 /
- Jeffery-Hamel 流 /
- ADM（Adomian分解法） /
- 非线性常微分方程 /
- 纳米流体
Abstract: The effect of magnetic field and nano particle on the Jeffery-Hamel flow were studied by a powerful analytical method that was called Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell’s electromagnetism governing equations were reduced to nonlinear ordinary differential equations to model this problem. The obtained results by this method are well agreed with the numerical (Runge-Kutta method) results and tabulated in a table. The plots confirm that the used method is in high accuracy for different α,Ha and Re numbers. First the flow field inside the divergent channel was studied for various values of Hartmann number and angle of channel and at last the effect of nanoparticle volume fraction in absence of magnetic field was investigated.
- magneto hydro dynamic /
- Jeffery-Hamel flow /
- ADM /
- nonlinear ordinary differential equation /
- nanofluid

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