Three-dimensional spatial normal modes in compressible boundary layers

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

Three-dimensional spatially growing perturbations in a two-dimensional compressible boundary layer are considered within the scope of linearized Navier - Stokes equations. The Cauchy problem is solved under the assumption of a finite growth rate of the disturbances. It is shown that the solution can be presented as an expansion into a biorthogonal eigenfunction system. The result can be used in a decomposition of flow fields derived from computational studies when pressure, temperature, and all the velocity components, together with some of their derivatives, are available. The method can also be used if partial data are available when a priori information may be utilized in the decomposition algorithm.

Original languageEnglish (US)
Pages (from-to)295-322
Number of pages28
JournalJournal of Fluid Mechanics
Volume586
DOIs
StatePublished - Sep 10 2007

Fingerprint

compressible boundary layer
Boundary layers
two dimensional boundary layer
Decomposition
decomposition
Cauchy problem
Eigenvalues and eigenfunctions
Navier-Stokes equation
Navier Stokes equations
Flow fields
flow distribution
eigenvectors
disturbances
Derivatives
perturbation
expansion
Temperature
temperature

ASJC Scopus subject areas

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

Cite this

Three-dimensional spatial normal modes in compressible boundary layers. / Tumin, Anatoli.

In: Journal of Fluid Mechanics, Vol. 586, 10.09.2007, p. 295-322.

Research output: Contribution to journalArticle

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