Abstract
The mixing layer is a model problem in fluid dynamics which has great importance for hydrodynamic stability and turbulence research. It is also a model problem for certain aerospace applications such as combustion devices for propulsive systems. Reactants mixing in these devices may be hindered by compressibility effects. In this investigation, linear stability analysis is used to study compressible binary mixing layers. The laminar mixing layer base flow dependence on the convective Mach number, Lewis and Prandtl numbers an on the Chapman-Rubesin parameter are first investigated using a local similar solution approach. The inviscid temporal and spatial stability of this base flow is then investigated. Two and three-dimensional disturbances are considered in a local normal modes formulation. The results show that variations of the Chapman-Rubesin parameter, Prandtl and Lewis numbers across the mixing layer should be taken into account in the calculations as they affect the base flow profiles and also temporal and spatial growth rates. Curves for the variation of the temporal and spatial growth rate against wave number and angular frequency for convective Mach number ranging from 0.01 to 1.6 are presented.
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