On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure

WANG Zhi-liang; ZHOU Zhe-wei

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WANG Zhi-liang, ZHOU Zhe-wei. On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1101-1112.

Citation:

WANG Zhi-liang, ZHOU Zhe-wei. On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1101-1112.

Citation:

WANG Zhi-liang, ZHOU Zhe-wei. On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1101-1112.

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On the Receptivity of Pipe Poiseuille Flow With a Bump on the Wall Under the Periodical Pressure

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2003-07-07
Rev Recd Date: 2004-08-08
Publish Date: 2004-11-15

Abstract

Abstract

Asymptotic method was a dopted 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.
- Poiseuille flow,
- bi-orthogonal,
- eigen-function,
- receptivity

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References(10)

References

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