Optimal streamwise vortices intended for supersonic mixing enhancement

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

Abstract

The theory of optimal, spatially growing disturbances is applied to a compressible turbulent mixing layer. It is suggested that the weak steady disturbances generated by tiny vortex generators be considered as in the triple decomposition method. The linearized equations for the disturbances are closed via the eddy viscosity model with a turbulent Prandtl number equal to one. The optimization procedure is formulated in terms of Mack's energy norm. As an example, a parallel flow with a hyperbolic tangent velocity profile and a temperature profile following from the Crocco-Busemann relation is analyzed. Theoretical results indicate that the optimization procedure leads to streamwise vortices, and it is consistent with experimental findings. The theory provides the possibility of estimating the spacing of the tiny vortex generators placed on the splitter plate. Results show that an increase in the convective Mach number is accompanied by an increase in the transient growth effect.

Original languageEnglish (US)
Title of host publication40th AIAA Aerospace Sciences Meeting and Exhibit
StatePublished - 2002
Event40th AIAA Aerospace Sciences Meeting and Exhibit 2002 - Reno, NV, United States
Duration: Jan 14 2002Jan 17 2002

Other

Other40th AIAA Aerospace Sciences Meeting and Exhibit 2002
CountryUnited States
CityReno, NV
Period1/14/021/17/02

Fingerprint

vortex generators
vortex
Vortex flow
disturbances
vortices
disturbance
augmentation
eddy viscosity
parallel flow
Parallel flow
optimization
turbulent mixing
Prandtl number
velocity profile
tangents
norms
Mach number
temperature profile
temperature profiles
eddy

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

Cite this

Tumin, A. (2002). Optimal streamwise vortices intended for supersonic mixing enhancement. In 40th AIAA Aerospace Sciences Meeting and Exhibit

Optimal streamwise vortices intended for supersonic mixing enhancement. / Tumin, Anatoli.

40th AIAA Aerospace Sciences Meeting and Exhibit. 2002.

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

Tumin, A 2002, Optimal streamwise vortices intended for supersonic mixing enhancement. in 40th AIAA Aerospace Sciences Meeting and Exhibit. 40th AIAA Aerospace Sciences Meeting and Exhibit 2002, Reno, NV, United States, 1/14/02.
Tumin A. Optimal streamwise vortices intended for supersonic mixing enhancement. In 40th AIAA Aerospace Sciences Meeting and Exhibit. 2002
Tumin, Anatoli. / Optimal streamwise vortices intended for supersonic mixing enhancement. 40th AIAA Aerospace Sciences Meeting and Exhibit. 2002.
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