Spatial input–output analysis of large-scale structures in actuated turbulent boundary layers

Chang Liu, Igal Gluzman, Mitchell Lozier, Samaresh Midya, Stanislav Gordeyev, Flint O. Thomas, Dennice F. Gayme

Research output: Contribution to conferencePaperpeer-review

Abstract

Introducing a controlled external actuation has been shown to provide important insight into the dynamics of turbulent boundary layers. Input-output (resolvent) analysis provides an important tool for the analysis of the actuated flow field, but the decomposition leads to an ambiguity in determining a streamwise wavenumber associated with the spatially localized external actuation. This paper proposes spatial input–output analysis based on the recently developed one-way spatial integration in which the problem is reformulated in terms of spatial evolution equations that do not require specification of the streamwise wavenumber of interest. This downstream marching has the added benefit of embedding a wall-normal dependent convective velocity for actuated large-scale structures associated with a dominant temporal frequency. We use this framework to examine the effect of localized periodic actuation at a given temporal frequency, which is modeled as a streamwise body force associated with that frequency. The results are compared with experiments featuring an active large-scale structures actuator. The large-scale structures associated with the modal velocity field obtained from spatial input-output analysis are shown to closely match those associated with the phase-locked velocity computed based on hot-wire measurements. We then analyze the downstream propagation of these structures. We show that the model captures the decrease in inclination angle that arises from the variation in the convective velocity over the wall-normal extent. These results highlight the promise of a spatial framework in modeling and analyzing the formation and streamwise evolution of large-scale structures induced by a spatially localized perturbation with a dominant temporal frequency.

Original languageEnglish
DOIs
StatePublished - 2021
Externally publishedYes
EventAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021 - Virtual, Online
Duration: 2 Aug 20216 Aug 2021

Conference

ConferenceAIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021
CityVirtual, Online
Period2/08/216/08/21

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering

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