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基于谱方法的管内非牛顿流体非定常流动

付强

吉首大学学报(自然科学版)2002,Vol.23Issue(4):12-18,7.
吉首大学学报(自然科学版)2002,Vol.23Issue(4):12-18,7.

基于谱方法的管内非牛顿流体非定常流动

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

付强1

作者信息

  • 1. 西南民族学院物理系,四川 成都 610041
  • 折叠

摘要

Abstract

In the present investigation, the unsteady flow of upper - convected Maxwell fluid in a horizontal circularpipe is studied by spectral method. The unsteady problem is mathematically reduced to a partial differential equation ofsecond order. By using spectral method the partial differential equation can be reduced to a system of ordinary differen-tial equations for different terms of Chebyshev polynomials approximations. The ordinary differential equations are solvedby the method of Laplace transform and the eigenvaluemethod that led to an analytical form of the solutions.

关键词

谱方法/非定常流动/Chebyshev多项式

Key words

spectral method/unsteady flow/Chebyshev polynomial

分类

数理科学

引用本文复制引用

付强..基于谱方法的管内非牛顿流体非定常流动[J].吉首大学学报(自然科学版),2002,23(4):12-18,7.

基金项目

Supported by Natural Science Foundation of China(19832050) and the key project of the State Nationalities Af-fairs Commission of China(9905) (19832050)

吉首大学学报(自然科学版)

1007-2985

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