A numerical study of the spatial stability of three-dimensional developing plane mixing layer

This paper is concerned with the hydrodynamic stability of the free shear layer, The concern of this study lies in obtaining solutions for the viscous spatially three-dimensional stability corresponding to the classical self-similar velocity profile of the free shear layer, In this study several techniques are applied to resolve the serious numerical complication introduced by the finite domain and parasitic contamination of the solution. As the spanwise wave number decreases, the neutral stability occurs at higher frequencies, beta, The maximum amplification rate (-alpha(imax)) increases when spanwise wave number decreases. The decrease of -alpha(imax) with gamma at a fixed Reynolds number is quite linear with the exception of low spanwise wave number (gamma less than or equal to 0.2).