Abstract
The linear development of Görtler vortices in a curved compressible mixing layer is studied. It has been shown both experimentally and theoretically that the curved mixing layer can support a centrifugal mode, which is believed to be similar to the Görtler vortex mode. This study follows the corresponding incompressible study of Otto, Jackson, and Hu, and attempts to demonstrate the effects compressibility has on the growth of such modes [J. Fluid Mech. 315, 85 (1996)]. The ultimate downstream fate of the modes is studied in the high Taylor/Görtler number regime. The problem of the third boundary condition inherent to the mixing layer model is addressed using the set of boundary conditions for both subsonic and supersonic flows derived by Ting [J. Math. Phys. 28, 153 (1959)]. A class of modes is discussed that have no counterpart in the uniform temperature incompressible case.
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