考虑感应磁场影响时,伸展表面上的MHD驻点流动及其热传递  

MHD Stagnation-Point Flow and Heat Transfer Towards a Stretching Sheet With Induced Magnetic Field

作　　者：F·M·阿里 R·纳扎尔 N·M·阿里菲 I·波普 海治(译) 张禄坤(校) 

机构地区：[1]马来西亚博特拉大学数学系与数学研究所,雪兰莪43400,马来西亚 [2]马来西亚国民大学数学学院,雪兰莪43600,马来西亚 [3]克鲁日大学数学系,克鲁日R-3400,罗马尼亚 [4]不详

出　　处：《应用数学和力学》2011年第4期391-399,共9页Applied Mathematics and Mechanics

基　　金：马来西亚高等教育部研究基金资助项目(UKM-ST-07-FRGS0036-2009)

摘　　要：考虑感应磁场的影响,研究不可压缩粘性流体在伸展表面上,作稳定磁流体动力学(MHD)的驻点流动.通过相似变换,将非线性的偏微分方程,变换成为常微分方程.用打靶法数值地求解变换后的边界层方程,得到不同的磁场参数和Prandtl数Pr时的数值解.对a/c>1和a/c<1两种情况(其中a和c均为正值),讨论感应磁场参数对表面摩擦因数、局部Nusselt数、速度和温度的影响,绘出变化曲线并给予讨论.The problem of steady magnetohydrodynamic（MHD） stagnation point flow of an incompressible viscous fluid over a stretching sheet was studied.The effect of induced magnetic field was taken into account.The nonlinear partial differential equations were transformed into ordinary differential equations via the similarity transformation.The transformed boundary layer equations were solved numerically using the shooting method.Numerical results are obtained for various magnetic parameter β and Prandtl number Pr.The effects of induced magnetic field on the skin friction coefficient,local Nusselt number,velocity and temperature profiles for both a/c1 and a/c1,where a and c are positive constants,are presented graphically and discussed in detail.

关 键 词：边界层 热传递 感应磁场 磁流体动力学 数值解 伸展表面 

分 类 号：O345[理学—固体力学]