Biorthogonal eigenfunction system in the triple-deck limit

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The solutions of receptivity problems for a periodic-in-time actuator placed on the wall in a two-dimensional boundary layer and for a two-dimensional hump are discussed within the scope of the biorthogonal eigenfunction expansion technique in the limit of high Reynolds number when the triple-deck scaling is imposed. It is shown that the solutions obtained with the help of the biorthogonal eigenfunction system are equivalent to the solutions derived within the scope of the triple-deck theory.

Original languageEnglish (US)
Pages (from-to)165-190
Number of pages26
JournalStudies in Applied Mathematics
Volume117
Issue number2
DOIs
StatePublished - Aug 2006

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Eigenvalues and eigenfunctions
Eigenfunctions
Eigenfunction Expansion
Reynolds number
Boundary Layer
Actuator
Scaling
Boundary layers
Actuators

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Biorthogonal eigenfunction system in the triple-deck limit. / Tumin, Anatoli.

In: Studies in Applied Mathematics, Vol. 117, No. 2, 08.2006, p. 165-190.

Research output: Contribution to journalArticle

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