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传导-辐射和磁流体组合对磁化可渗透平板自然对流影响的数值解法
引用本文:M·阿什拉夫,S·阿斯加尔,M·A·侯赛因,吴承平.传导-辐射和磁流体组合对磁化可渗透平板自然对流影响的数值解法[J].应用数学和力学,2012,33(6):692-709.
作者姓名:M·阿什拉夫  S·阿斯加尔  M·A·侯赛因  吴承平
作者单位:1. COMSATS信息技术学院数学系,泽沙赫扎德分校,伊斯兰堡44000,巴基斯坦
2. COMSATS信息技术学院数学系,泽沙赫扎德分校,伊斯兰堡44000,巴基斯坦;阿卜杜勒·阿齐兹国王大学数学系,吉达,沙特阿拉伯
3. COMSATS信息技术学院数学系,泽沙赫扎德分校,伊斯兰堡44000,巴基斯坦;达卡大学数学系,达卡,孟加拉国
摘    要:研究粘性、不可压缩、导电流体,在磁化可渗透竖直平板上作自然对流时,数值地分析辐射和磁流体组合的影响.采用两种方法数值地求解非相似的控制方程:1)对所有吸入参数值ξ,采用有限差分法;2)为小数值和大数值的吸入参数值ξ,分别建立起级数的渐近解.用图形和列表形式,给出Prandtl数Pr,磁Prandtl数Pm,磁力参数S,辐射参数Rd,壁面温度θw的变化,对壁面摩擦因数、热交换率和电流密度的影响.最后分析上述物理参数对速度分布、温度分布和磁场横向分量的影响.

关 键 词:磁流体  脉动  自然对流  磁化板:电流密度  热交换

Computational Study of the Combined Effects of Conduction-Radiation and Hydromagnetic on Natural Convection Flow Past a Magnetized Permeable Plate
Institution:Muhammad Ashraf 1,S.Asghar 1,2,M.A.Hossain1,3(1.Department of Mathematics,COMSATS Institute of Information Technology, Chak Shahzad Capmus,Islamabad 44000,Pakistan; 2.Department of Mathematics,King Abdul Aziz University, Jeddah,Saudi Arabia; 3.Department of Mathematics,University of Dhaka,Dhaka,Bangladesh)
Abstract:The computational study of the combined effects of radiation and hydromagnetics on natural convection flow of,viscous,incompressible,electrically conducting fluid past a magnetized permeable vertical plate was presented.The governing non similar equations were solved by using(i) finite difference method for entire value of suction parameter ξ and (ii) asymptotic solution for small and large value of ξ numerically.The effects of varying the Prandtl number Pr,magnetic Prandtl number Pm,magnetic force parameter S,radiation parameter Rd,and surface temperature θw on coefficients of skin friction,rate of heat transfer and current density were shown in graphical form and as well as in tables.Finally,an attempt was made to examine the effects of above mentioned physical parameters on velocity profile,temperature distribution and transverse component of magnetic field.
Keywords:hydromagnetic  fluctuating  natural convection  magnetized plate  current density  heat transfer
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