A non-resonant triad on a mixing layer

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摘要：

We consider the weakly nonlinear spatial evolution of a disturbance consisting of a plane wave and a pair of oblique waves inclined at an angle θ other than 60° superimposed on an inviscid mixing layer, with each wave being slightly amplified on a linear basis. A nonlinear critical layer analysis is employed to derive equations governing the evolution of the instability wave amplitudes, which contain a coupling between the oblique and plane waves as well as the usual interaction within the pair of oblique waves. These equations are discussed and it is shown that, as in related work for other flows, these equations may develop a singularity at a finite distance downstream.

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关键词：

Theoretical or Mathematical/ boundary layers flow instability flow simulation mixing shear flow waves/ nonresonant triad weakly nonlinear spatial evolution disturbance plane wave oblique waves inviscid mixing layer instability wave amplitudes singularity shear layer mixing layer/ A4735 Waves in fluid dynamics A4720 Hydrodynamic stability and instability A4710 General fluid dynamics theory, simulation and other computational methods