Receptivity of pipe Poiseuille flow

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

The receptivity problem is considered for pipe flow with periodic blow-suction through a narrow gap in the pipe wall. Axisymmetric and non-axisymmetric modes (1, 2, and 3) are analysed. The method of solution is based on global eigenvalue analysis for spatially growing disturbances in circular pipe Poiseuille flow. The numerical procedure is formulated in terms of the collocation method with the Chebyshev polynomials application. The receptivity problem is solved with an expansion of the solution in a biorthogonal eigenfunction system, and it was found that there is an excitation of many eigenmodes, which should be taken into account. The result explains the non-similar character of the amplitude distribution in the downstream direction that was observed in experiments.

Original languageEnglish (US)
Pages (from-to)119-137
Number of pages19
JournalJournal of Fluid Mechanics
Volume315
StatePublished - May 25 1996
Externally publishedYes

Fingerprint

Pipe flow
laminar flow
pipe flow
collocation
suction
Eigenvalues and eigenfunctions
eigenvectors
polynomials
eigenvalues
disturbances
Pipe
Polynomials
expansion
excitation
Experiments

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Receptivity of pipe Poiseuille flow. / Tumin, Anatoli.

In: Journal of Fluid Mechanics, Vol. 315, 25.05.1996, p. 119-137.

Research output: Contribution to journalArticle

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