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热交换多孔圆盘间三阶流体的MHD轴对称流动
引用本文:T·哈亚特,A·沙菲克,M·纳瓦兹,A·艾沙伊迪,黄锋.热交换多孔圆盘间三阶流体的MHD轴对称流动[J].应用数学和力学,2012,33(6):710-725.
作者姓名:T·哈亚特  A·沙菲克  M·纳瓦兹  A·艾沙伊迪  黄锋
作者单位:1. 真纳大学数学系45320,伊斯兰堡44000,巴基斯坦
2. 空间技术研究院人文与科学系,伊斯兰堡44000,巴基斯坦
3. 阿卜杜勒阿齐兹国王大学科学院数学系,沙特阿拉伯
基金项目:Alsaedi博士对沙特阿拉伯阿卜杜勒阿齐兹国王大学科学研究院(DSR)的资助
摘    要:在两个具有热交换可渗透的多孔圆盘之间,研究三阶流体的磁流体动力学(MHD)流动.通过适当变换,将偏微分的控制方程转换为常微分方程.采用同伦分析法(HAM)求解转换后的方程.定义了均方残余误差的表达式,并选择了最佳的、收敛的控制参数值.检测了无量纲参数变化时的无量纲速度和温度场.列表显示表面摩擦因数和Nusselt数,并分析了无量纲参数的影响.

关 键 词:热交换  轴对称流动  三阶流体  多孔圆盘  表面摩擦因数  Nusselt数

MHD Axisymmetric Flow of a Third-Grade Fluid Between Porous Disks With Heat Transfer
Institution:T.Hayata1,Anum Shafiq1,M.Nawaz2,A.Alsaedi3(1.Department of Mathematics,Quaid-i-Azam University,45320, Islamabad 44000,Pakistan; 2.Department of Humanities and Sciences,Institute of Space Technology,P.O.Box 2750,Islamabad 44000,Pakistan; 3.Department of Mathematics,Faculty of Science,King Abdulaziz University,P.O.Box 80257,Jeddah 21589,Saudi Arabia)
Abstract:The magnetohydrodynamic(MHD) flow of third-grade fluid between two permeable disks with heat transfer was investigated.The governing partial differential equations were converted into the ordinary differential equations by using suitable transformations.Transformed equations were solved by using homotopy analysis method(HAM).The expressions for square residual errors were defined and optimal values of convergencecontrol parameters were selected.The dimensionless velocity and temperature fields were examined for various dimensionless parameters.Skin friction coefficient and Nusselt number were tabulated to analyze the effects of dimensionless parameters.
Keywords:heat transfer  axisymmetric flow  third-grade fluid  porous disks  skin friction coefficient  Nusselt number
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