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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Contributed by Zhou Zhe-wei
Foundation items: the National Natural Science Foundation of China (19772026); the Key Project Science Foundation of Shanghai Science Committee (1998-10)
Biographies: Wang Zhi-liang (1974 ∼); Zhou Zhe-wei (1950 ∼)
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Zhi-liang, W., Zhe-wei, Z. On the receptivity of pipe poiseuille flow with a bump on the wall under the periodical pressure. Appl Math Mech 25, 1203–1214 (2004). https://doi.org/10.1007/BF02438275
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DOI: https://doi.org/10.1007/BF02438275