Optimal disturbances in compressible boundary layers

Anatoli Tumin, Eli Reshotko

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

Abstract

The problem of transient growth in compressible boundary layers is considered within the scope of partial differential equations. As follows from previous investigations, the optimal disturbances correspond to steady counter-rotating streamwise vortices. The corresponding scaling of the perturbations leads to the governing equations for a Görtler type of instability, with the Görtler number equal to zero. The iteration procedure employs back and forth marching solutions of the adjoint and original systems of equations. At low Mach numbers, the results agree with those for Blasius boundary-layer flows. In the case of parallel flows, the method leads to the same results obtained for compressible flows within the scope of linearized Navier-Stokes equations. It is shown that there is an optimal spacing of the streamwise vortices and an optimal location for their excitation.

Original languageEnglish (US)
Title of host publication41st Aerospace Sciences Meeting and Exhibit
StatePublished - 2003
Event41st Aerospace Sciences Meeting and Exhibit 2003 - Reno, NV, United States
Duration: Jan 6 2003Jan 9 2003

Other

Other41st Aerospace Sciences Meeting and Exhibit 2003
CountryUnited States
CityReno, NV
Period1/6/031/9/03

Fingerprint

compressible boundary layer
Boundary layers
Vortex flow
disturbances
boundary layer
vortices
disturbance
parallel flow
Parallel flow
compressible flow
vortex
boundary layer flow
Compressible flow
Boundary layer flow
Mach number
partial differential equations
Navier-Stokes equation
Navier Stokes equations
Partial differential equations
iteration

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Tumin, A., & Reshotko, E. (2003). Optimal disturbances in compressible boundary layers. In 41st Aerospace Sciences Meeting and Exhibit

Optimal disturbances in compressible boundary layers. / Tumin, Anatoli; Reshotko, Eli.

41st Aerospace Sciences Meeting and Exhibit. 2003.

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

Tumin, A & Reshotko, E 2003, Optimal disturbances in compressible boundary layers. in 41st Aerospace Sciences Meeting and Exhibit. 41st Aerospace Sciences Meeting and Exhibit 2003, Reno, NV, United States, 1/6/03.
Tumin A, Reshotko E. Optimal disturbances in compressible boundary layers. In 41st Aerospace Sciences Meeting and Exhibit. 2003
Tumin, Anatoli ; Reshotko, Eli. / Optimal disturbances in compressible boundary layers. 41st Aerospace Sciences Meeting and Exhibit. 2003.
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