环形套管内非牛顿流体非定常旋转流动谱方法研究  

Research on analytical approach to time-dependent rotation flow of non-Newtonian fluid in the gap between cylinders

作　　者：尹析明[1] 

机构地区：[1]成都纺织高等专科学校,成都611731

出　　处：《四川大学学报（自然科学版）》2009年第4期1016-1020,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(19832050)

摘　　要：采用在区间[1,m]上的 Chebbyshev 多项式为基底的谱方法,研究了环形套管内上随体 Maxwell 非牛顿流体由一类定常流动状态向另一类定常流动状态的非定常旋转流动的速度场分布,把该问题的高阶偏微分方程的边、初值问题降阶化为低阶的各级近似的常微分方程问题,并该出解析答案,其结果与差分结果较为一致.The improved Chebyshev polynomials are introduced for the interval of definition [1, m] on which the spectral approach is developed. Using the spectral approach, the rotation flow of the fluid is studied in the gap between cylinders. The time-dependent rotation flow problem is mathematically reduced to the initial and boundary value problem of a partial differential equation. The analytical solutions are given for the 1^st , 2^nd order approximations. The results which are calculated by spectral approach are compared with that calculated by finite difference method. The compared results are in accordance.

关 键 词：上随体Maxwell非牛顿流体 非定常旋转流动 谱方法 CHEBYSHEV多项式 

分 类 号：O373[理学—流体力学]