On the Landau constant in mixing layers
Abstract
The nonlinear evolution of weakly amplified waves in a hyperbolic tangentfree shear layer is described when the Reynolds number is large and the critical layer is dominated by viscosity. The StuartLandau equation governing the finiteamplitude development of disturbances is obtained by asymptotic matching. The Landau constant multiplying the cubic nonlinearity is determined to be stabilizing. A stable finiteamplitude equilibrium state is therefore reached by linearly amplified waves. The earlier result in Huerre (1980) is shown to be incorrect.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 February 1987
 DOI:
 10.1098/rspa.1987.0021
 Bibcode:
 1987RSPSA.409..369H
 Keywords:

 Computational Fluid Dynamics;
 Flow Distortion;
 Landau Factor;
 Mixing Layers (Fluids);
 Nonlinear Evolution Equations;
 Shear Layers;
 Turbulent Mixing;
 High Reynolds Number;
 Viscous Flow;
 Wave Amplification;
 Fluid Mechanics and Heat Transfer