采用谱方法研究了环形套管内OldroydB流体依时性Couette流动的速度场分布.该问题可归结为高阶微方程的初值边值问题的求解问题.采用构造的Chebysehv多项式为基的谱方法,成功地得到该问题的解析解答.其结果与差分数值解一致.
In this paper the time-dependent Couette flow of Oldroyd B fluid in ring sleeve is studied by spectral method.The timedependent Couette flow problem is mathematically reduced to the problem of the initial value and boundary value for a higher-order differential equation.The analytical solutions are given by the spectral method with Chebysehv polynomial.The results are fundamental agreement with those by the different method.