Three-dimensional spatial normal modes in compressible boundary layers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 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 utilized for 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 be used also if partial data are available when a priori information may be utilized in the decomposition alogorithm. Properties of the discrete spectrum for a boundary layer over a cone with an adiabatic wall at the edge Mach number 5.6 is explored. It is shown that the synchronism of the slow discrete mode with acoustic waves at a low frequency or a low Reynolds number is primarily two-dimensional. At high angles of disturbance propagation, the fast discrete mode is no longer synchronized with entropy and vorticity modes.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
Pages13416-13444
Number of pages29
Volume18
StatePublished - 2006
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, NV, United States
Duration: Jan 9 2006Jan 12 2006

Other

Other44th AIAA Aerospace Sciences Meeting 2006
CountryUnited States
CityReno, NV
Period1/9/061/12/06

Fingerprint

compressible boundary layer
Boundary layers
boundary layer
decomposition
Decomposition
disturbance
Navier-Stokes equations
acoustic wave
disturbances
Vorticity
two dimensional boundary layer
vorticity
Eigenvalues and eigenfunctions
Reynolds number
flow field
Navier Stokes equations
Mach number
entropy
Cones
Flow fields

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Tumin, A. (2006). Three-dimensional spatial normal modes in compressible boundary layers. In Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting (Vol. 18, pp. 13416-13444)

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

Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 18 2006. p. 13416-13444.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tumin, A 2006, Three-dimensional spatial normal modes in compressible boundary layers. in Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. vol. 18, pp. 13416-13444, 44th AIAA Aerospace Sciences Meeting 2006, Reno, NV, United States, 1/9/06.
Tumin A. Three-dimensional spatial normal modes in compressible boundary layers. In Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 18. 2006. p. 13416-13444
Tumin, Anatoli. / Three-dimensional spatial normal modes in compressible boundary layers. Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting. Vol. 18 2006. pp. 13416-13444
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