Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (11): 1203-1214.

• 论文 •    下一篇

ON THE RECEPTIVITY OF PIPE POISEUILLE FLOW WITH A BUMP ON THE WALL UNDER THE PERIODICAL PRESSURE

王志亮, 周哲玮   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:2003-07-07 修回日期:2004-08-08 出版日期:2004-11-18 发布日期:2004-11-18
  • 通讯作者: ZHOU Zhe-wei(1950~ ), Professor, Doctor(Corresponding author, Tel:+86-21-56334092;E-mail:zhwzhou@yc.shu.edu.cn) E-mail:zhwzhou@yc.shu.edu.cn
  • 基金资助:

    the National Natural Science Foundation of China(19772026);the Key Project Science Foundation of Shanghai Science Committee(1998-10)

ON THE RECEPTIVITY OF PIPE POISEUILLE FLOW WITH A BUMP ON THE WALL UNDER THE PERIODICAL PRESSURE

WANG Zhi-liang, ZHOU Zhe-wei   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:2003-07-07 Revised:2004-08-08 Online:2004-11-18 Published:2004-11-18

摘要: Asymptotic method was adopted to obtain a receptivity model for a pipe Poiseuille flow under periodical pressure,the wall of the pipe with a bump.Bi-orthogonal eigen-function systems and Chebyshev collocation method were used to resolve the problem.Various spatial modes and the receptivity coefficients were obtained.The results show that different modes dominate the flow in different stages,which is comparable with the phenomena observed in experiments.

Abstract: Asymptotic method was adopted to obtain a receptivity model for a pipe Poiseuille flow under periodical pressure,the wall of the pipe with a bump.Bi-orthogonal eigen-function systems and Chebyshev collocation method were used to resolve the problem.Various spatial modes and the receptivity coefficients were obtained.The results show that different modes dominate the flow in different stages,which is comparable with the phenomena observed in experiments.

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