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 language | English |
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DOIs | |
State | Published - 2021 |
Externally published | Yes |
Event | AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021 - Virtual, Online Duration: 2 Aug 2021 → 6 Aug 2021 |
Conference
Conference | AIAA Aviation and Aeronautics Forum and Exposition, AIAA AVIATION Forum 2021 |
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City | Virtual, Online |
Period | 2/08/21 → 6/08/21 |
All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Energy Engineering and Power Technology
- Nuclear Energy and Engineering