On harmonic perturbations in compressible mixing layers

Hong Yang, Anatoli Tumin

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

7 Citations (Scopus)

Abstract

A theoretical model of harmonic perturbations in a compressible turbulent mixing layer is proposed. The model utilizes the triple decomposition method. It is assumed that the instantaneous velocities, temperature, and pressure consist of three distinctive components: mean (time-averaged), coherent (phase-averaged), and random (turbulent) motion. The interaction between incoherent turbulent fluctuations and large-scale coherent disturbances is incorporated by the Newtonian eddy viscosity model. The governing equations for the coherent disturbances have the same form as in laminar flow with substitution of the Reynolds number and the Prandtl number by their turbulent counterparts. A slight divergence of the flow is also taken into account. Theoretical results and comparison with experimental data reveal the significance of interaction between the coherent and random constituents of the flow. The model is applied to the case of a mixing layer over a cavity in order to predict the resonance frequencies.

Original languageEnglish (US)
Title of host publication32nd AIAA Fluid Dynamics Conference and Exhibit
StatePublished - 2002
Event32nd AIAA Fluid Dynamics Conference and Exhibit 2002 - St. Louis, MO, United States
Duration: Jun 24 2002Jun 26 2002

Other

Other32nd AIAA Fluid Dynamics Conference and Exhibit 2002
CountryUnited States
CitySt. Louis, MO
Period6/24/026/26/02

Fingerprint

Prandtl number
Laminar flow
Reynolds number
Substitution reactions
Viscosity
Decomposition
Temperature

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering

Cite this

Yang, H., & Tumin, A. (2002). On harmonic perturbations in compressible mixing layers. In 32nd AIAA Fluid Dynamics Conference and Exhibit

On harmonic perturbations in compressible mixing layers. / Yang, Hong; Tumin, Anatoli.

32nd AIAA Fluid Dynamics Conference and Exhibit. 2002.

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

Yang, H & Tumin, A 2002, On harmonic perturbations in compressible mixing layers. in 32nd AIAA Fluid Dynamics Conference and Exhibit. 32nd AIAA Fluid Dynamics Conference and Exhibit 2002, St. Louis, MO, United States, 6/24/02.
Yang H, Tumin A. On harmonic perturbations in compressible mixing layers. In 32nd AIAA Fluid Dynamics Conference and Exhibit. 2002
Yang, Hong ; Tumin, Anatoli. / On harmonic perturbations in compressible mixing layers. 32nd AIAA Fluid Dynamics Conference and Exhibit. 2002.
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