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Fluid Dynamics

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01-09-2020

Three-Wave Interactions between Disturbances in a Supersonic Boundary Layer

Authors: S. A. Gaponov, N. M. Terekhova

Published in: Fluid Dynamics | Issue 5/2020

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Abstract—

The interaction between vortex disturbances (Tollmien—Schlichting waves) in the supersonic boundary layer on an impermeable surface is studied within the framework of the weakly nonlinear stability theory. The first level of the nonlinear interaction, namely, that in three-wave resonance systems, is investigated. The main features of the interaction in unit triplets consisting of plane and three-dimensional components, are considered, whereupon the group mutual influence (the joint realization of several simple triplets) is studied. The streamwise dynamics of the disturbances of two types, controlled and natural, are modeled. The possibility of energy redistribution is these wave systems in the case of the nonlinear interaction between the constituting wave packets is studied. The resonance interactions are shown to be adequate to the actual nonlinear processes at the earlier transition stages.

previous article Average Vibrational – Convective Fluid Flows in Two-Layer Systems of Different Permeability under Zero Gravity

next article Characteristics of the Turbulent Boundary Layer on a Glass Surface of a Channel behind a Shock Wave

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Title: Three-Wave Interactions between Disturbances in a Supersonic Boundary Layer
Authors: S. A. Gaponov
N. M. Terekhova
Publication date: 01-09-2020
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue 5/2020
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462820050067

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