环空内非牛顿流体依时性Couette流动的谱法研究  

Spectral Method for Research on Time Dependent Couette Flow of Non-Newtonian Fluid in Ring Sleeve

作　　者：付强[1] 

机构地区：[1]西南民族大学理科学报编辑部,四川成都610041

出　　处：《四川师范大学学报（自然科学版）》2010年第6期808-810,共3页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(19832050);四川省学术和技术带头人培养基金(川人发〔2008〕24号)资助项目

摘　　要：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.

关 键 词：OldroydB流体 COUETTE流动 谱方法 

分 类 号：O373[理学—流体力学]