考虑变粘性系数的MHD驻点流解析解  

Analytical solutions of variable thermal conductivity on MHD stagnation-oint flow

作　　者：李明军[1] 李胜男[1] 李桂波[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《沈阳师范大学学报（自然科学版）》2017年第1期68-72,共5页Journal of Shenyang Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11171281);辽宁省科技厅自然科学基金资助项目(201502065;201602673)

摘　　要：研究变粘性系数的2维MHD驻点流问题。平板被放置在大小为H0的磁场中,对Navier-Stokes方程组进行计算,其中粘性系数是温度的函数。通过物理分析得到变粘性系数的MHD驻点流动的Navier-Stokes控制方程组。通过相似变换,将控制方程组转化为常微分方程组。数值分析了磁场效应和温度变化对壁面摩擦系数、壁面传热及流场特征等的影响,并得到了速度、磁场及温度随各参数的变化趋势。The two-dimensional MHD stagnation-point flow with variable viscosity is studied.The plate is placed in the size of the relatively static magnetic field of H0,the Navier-Stokes equations are calculated,where viscosity is considered as a function of temperature.The governing Navier-Stokes equations for the MHD stagnation-point flow with variable viscosity were obtained through physical analysis.By using similarity transformation,the governing equations are firstly transformed into the ordinary differential equations（ODEs）.Numerically the effects of magnetic strength and temperature changes to the skin friction coefficient,heat transfer near the wall and flow field characteristics are analyzed,and the trend of velocity,magnetic field and temperature field with different parameters are also obtained.

关 键 词：驻点流 MHD流 变粘性系数 相似解 打靶法 

分 类 号：O242[理学—计算数学]