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Journal Articles Physical Review Fluids Year : 2022

Stochastic receptivity of laminar compressible boundary layers: an input-output analysis

Abstract

This study extends the input-output framework for the receptivity analysis of an incompressible boundary layer introduced by Ran et al. (Stochastic receptivity analysis of boundary layer flow Phys. Rev. Fluids. 4, 093901, 2019) to the laminar adiabatic supersonic case. Spatially distributed in the wall-normal direction, a delta-correlated Gaussian noise is considered as input, both including the velocity and temperature fields. Similarly, components of the resulting velocity and/or temperature fields are chosen as outputs. To study effects on the boundary layer the measurements of the output are restricted within the δ 99 boundary layer thickness implying, however, that effects like acoustic radiation to the freestream are outside the scope of the present analysis. The main goal of the study is twofold: First, to demonstrate the potential of the chosen approach by comparison with familiar results; second, to extend the current state of knowledge in the compressible regime in selected points by exploiting the extended capabilities of the chosen framework. To this end, the importance of the different inputs – especially the temperature effects – for the amplification of two-dimensional, oblique flow structures and streaks are discussed. Furthermore, the influence of first and second Mach modes (not present in the incompressible regime) is identified within the stochastic framework for the first time and results are discussed in the light of previous receptivity analyses where the output is restricted to a single mode. By varying the spatial distribution of the forcing, the dependence of the receptivity on the wall-normal position, where the forcing is introduced, is illustrated and discussed. Finally, dominant coherent structures are identified by evaluating the first singular vector of the correlation matrix (POD modes). By analyzing the dependence of both forcing and response POD modes on the choice of the measured component, further insight is provided about the contribution of temperature fluctuation to the stochastically maintained variance of the system.
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Dates and versions

hal-03710063 , version 1 (30-06-2022)

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Frédéric Alizard, Tobias Gibis, Björn Selent, Ulrich Rist, Christoph Wenzel. Stochastic receptivity of laminar compressible boundary layers: an input-output analysis. Physical Review Fluids, 2022, ⟨10.1103/PhysRevFluids.7.073902⟩. ⟨hal-03710063⟩
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