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  

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

作　　者：M·塞克厚勒什勒米 D·D·甘集 H·R·阿秀讷加德 H·B·若克尼 M.Sheikholeslami;D.D.Ganji;H.R.Ashorynejad;Houman B.Rokni(Faculty ofMechanical Engineering,Babol University of Technology,Babol,P 0.Box 484,IslamicRepublic of Iran)

机构地区：[1]巴博尔科技大学机械工程学院,巴博尔P.O.Box484,伊朗

出　　处：《应用数学和力学》2012年第1期24-34,共11页Applied Mathematics and Mechanics

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.The effect of magnetic field and nano particle on the Jeffery-Hamel flow were stud- ied by a powerful analytical method that was called Adomian decomposition method （ADM）. The traditional Navier-Stokes equation of fluid mechanics and Maxwell＇ s electromagnetism gov- erning equations were reduced to nonlinear ordinary differential equations to model this prob- lem. The obtained results by this method are well agreed with the numerical （Runge-Kutta method） results and tabulated in a table. The plots confu＇m that the used method is in high accuracy for different α, Hα 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.

关 键 词：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 

分 类 号：O361.3[理学—流体力学] O368[理学—力学]