On harmonic perturbations in compressible mixing layers

Hong Yang, Anatoli Tumin

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

11 Scopus citations


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
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624101137
StatePublished - 2002
Event32nd AIAA Fluid Dynamics Conference and Exhibit 2002 - St. Louis, MO, United States
Duration: Jun 24 2002Jun 26 2002

Publication series

Name32nd AIAA Fluid Dynamics Conference and Exhibit


Other32nd AIAA Fluid Dynamics Conference and Exhibit 2002
Country/TerritoryUnited States
CitySt. Louis, MO

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering


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