Effects of suction on the nonstationary lower branch modes of a compressible boundary layer flow due to a rotating disk

Turkyilmazoglu M.

STUDIES IN APPLIED MATHEMATICS, vol.115, no.4, pp.357-385, 2005 (SCI-Expanded) identifier identifier


In this paper, suction and injection effects are investigated theoretically on the structure of the lower branch neutral stability modes of three-dimensional small disturbances imposed on the compressible boundary layer flow due to a rotating disk. In a recent study [1], it was demonstrated that the short-wavelength stationary/nonstationary compressible crossflow vortex modes at sufficiently high Reynolds numbers with reasonably small scaled frequencies can be described by an asymptotic expansion procedure as set up in [2] for the incompressible stationary modes, which rigorously takes into account the nonparallel effects. Employing this rational asymptotic technique, it is shown here that the wavenumber and the orientation of the compressible lower branch modes are governed by an eigenrelation that is under the strong influence of a suction/injection parameter (s) over bar, which, when set to zero, the relation turns out to be the one obtained previously by Turkyilmazoglu [1] for zero-suction compressible modes.