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Entropy  2012 

Control Parameters for Boundary-Layer Instabilities in Unsteady Shock Interactions

DOI: 10.3390/e14020131

Keywords: unsteady shock interactions, boundary layer flows, control parameters, induced flow instabilities, spectral entropy rates, coherent structures, chaotic flow

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Abstract:

This article presents the computation of a set of control parameters for the deterministic prediction of laminar boundary-layer instabilities induced by an imposed unsteady shock interaction. The objective of the study is exploratory in nature by computing a supersonic flight environment for flow over a blunt body and the deterministic prediction of the spectral entropy rates for the boundary layer subjected to an unsteady pressure disturbance. The deterministic values for the spectral entropy rate within the instabilities are determined for each control parameter. Computational results imply that the instabilities are of a span-wise vortex form, that the maximum vertical velocity wave vector components are produced in the region nearest the wall and that extended transient coherent structures are produced in the boundary layer at a vertical location slightly below the mid-point of the boundary layer.

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