基于谱方法的管内非牛顿流体非定常流动

journal6 ›› 2002, Vol. 23 ›› Issue (4): 12-18.

基于谱方法的管内非牛顿流体非定常流动

（西南民族学院物理系，四川成都610041）

出版日期:2002-12-15 发布日期:2012-11-09

Unsteady Flow of Non-Newtonian Fluid in Pipe by Spectral Method

(Dept.of Physics,Sowthwest University for Nationalities,Chengdu 610041,Sichuan China)

Online:2002-12-15 Published:2012-11-09
About author:FU Qiang(1965-),male,was born in Jianyang,Sichuan Province,associate professor of Dept.of Physics,Southwest University for Nationalities,research area is mechanics of non-Newtonian fluid.
Supported by:
Supported by Natural Science Foundation of China(19832050) and the key project of the State Nationalities Affairs Commission of China(9905)

摘要/Abstract

摘要：以上随体Maxwell流体为非牛顿流体介质，探索了一种用谱方法解析处理水平圆管内非牛顿流体非定常流动的方法.该非定常问题归结为一个非线性二阶偏微分方程的求解问题.用谱方法将非线性二阶偏微分方程求解问题化为常微分方程组Chebyshev多项式数的近似问题，用Laplac变换法和本征值方法求解常微分方程组得到问题的解析结果.

关键词： 谱方法, 非定常流动, Chebyshev多项式

Abstract: In the present investigation,the unsteady flow of upper-convected Maxwell fluid in a horizontal circular pipe is studied by spectral method.The unste
ady problem is mathematically reduced to a partial differential equation of second order.By using spectral method the partial differential equation can be reduced to a system of ordinary differential equations for different terms of Chebyshev polynomials approximations.The ordinary differential equations are solved by the method of Laplace transform and the eigenvalue method that led to an analytical form of the solutions.

Key words: spectral method, unsteady flow, Chebyshev polynomial

付强. 基于谱方法的管内非牛顿流体非定常流动[J]. journal6, 2002, 23(4): 12-18.

FU Qiang. Unsteady Flow of Non-Newtonian Fluid in Pipe by Spectral Method[J]. journal6, 2002, 23(4): 12-18.

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