Distribution Patterns of Eigenvalues of Laminar Pipe Flow 3rd Report, Effect of the Reynolds Number

Yoshikazu Suematsu, Toshiyuki Hayase, Kenji Hase, Tadaya Ito

研究成果: Article査読


This study investigates the structure and dynamic behavior of a linear system which describes the perturbation of a laminar pipe flow. In the preceding papers a numerical method for calculating the eigenvalues with sufficient accuracy was proposed, and the characteristic distribution pattern of eigenvalues for Poiseuille pipe flow and the classification of the modes of the perturbations were presented. This paper discusses the effects of the Reynolds number on the distribution pattern of eigenvalues. In the first place, for the Poiseuille pipe flow, it is shown how the distribution of eigenvalues in a complex phase velocity plane takes a tree like shape as the Reynolds number increases. Then the distributions of eigenvalues are calculated for the laminar developing pipe flow and the Poiseuille pipe flow with rigid rotation, which are known to be unstable for high Reynolds number. It is found that these distribution patterns take the same shape as that of Poiseuille pipe flow, and that the unstable eigenvalues belong to the specified modes of perturbations, as predicted in the former report.

ジャーナルTransactions of the Japan Society of Mechanical Engineers Series B
出版ステータスPublished - 1988

ASJC Scopus subject areas

  • 凝縮系物理学
  • 機械工学


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