Instability and receptivity of laminar wall jets

Anatoli Tumin, Lolita Aizatulin

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Results of eigenvalue analysis based on global and local eigenvalue considerations are presented. A collocation method with the Chebyshev polynomial approximation has been used for the global eigenvalue analysis. The results explain the appearance of a second unstable mode. In the case of real frequencies with Reynolds number R < 381 there is only one unstable mode. This mode coalesces at R ≈ 381 with a stable mode. At R > 381 they become separated by interchannging their branches, then the second unstable mode occurs. The receptivity problem has been considered with respect to perturbations emanating from a wall. The results illustrate that high-frequency modes have a stronger response than low-frequency modes. It is shown that the method of expansion in a biorthogonal eigenfunction system and the method used by Ashpis and Reshotko are equivalent with regard to the receptivity problem solution.

Original languageEnglish (US)
Pages (from-to)33-45
Number of pages13
JournalTheoretical and Computational Fluid Dynamics
Volume9
Issue number1
StatePublished - 1997
Externally publishedYes

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wall jets
Polynomial approximation
Eigenvalues and eigenfunctions
Reynolds number
eigenvalues
collocation
eigenvectors
polynomials
low frequencies
perturbation
expansion
approximation

ASJC Scopus subject areas

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

Cite this

Instability and receptivity of laminar wall jets. / Tumin, Anatoli; Aizatulin, Lolita.

In: Theoretical and Computational Fluid Dynamics, Vol. 9, No. 1, 1997, p. 33-45.

Research output: Contribution to journalArticle

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