用群方法求解幂律非牛顿导电流体的Rayleigh问题

Solution of the Rayleigh Problem for a Power-Law Non-Newtonian Conducting Fluid via Group Method

研究了如下磁流体Rayleigh问题 :一块半无限大平板受瞬态冲击后以恒定速度在无限大非牛顿幂律流体的区域内运动· 讨论了在横向外在磁场作用下非牛顿导电流体在无限大区域内的非定常流动· 用变换群理论得到了这个强非线性问题的解· 通过单参数群变换减少了一个自变量 。

An investigation is made of the magnetic Rayleigh problem where a semi_infinite plate is given an impulsive motion and thereafter moves with constant velocity in a non_Newtonian power law fluid of infinite extent. The solution of this highly non_linear problem is obtained by means of the transformation group theoretic approach. The one_parameter group transformation reduces the number of independent variables by one and the governing partial differential equation with the boundary conditions reduce to an ordinary differential equation with the appropriate boundary conditions. Effect of the some parameters on the velocity u(y,t) has been studied and the results are plotted.