Joint effect of heat and mass transfer on the compressible boundary layer stability

Abstract

The study continues the cycle of investigations concerned with the modeling of the methods of controlling flow regimes in compressible boundary layers. The effect of distributed heat and mass transfer on the stability parameters of a supersonic boundary layer is considered at amoderate supersonic Mach number M = 2. Emphasis is placed on the modeling of both the normal injection, when only the V component of the mean velocity is nonzero, and injection in other directions, including the tangential injection, when only the U component is nonzero on the wall. The formulation of the problem is similar with that of the gas curtain influence on the small fluctuation development. It is assumed that the effect of the injection of a similar gas with different temperatures is analogous to the injection of a gas with different densities, namely, the cold gas injection mimics the heavy gas injection, and vice versa. For this reason, in this study this modeling is realized by means of varying the temperature factor (wall heating or cooling). The case, in which the so-called “cutoff” regime is realized, that is, the velocity disturbances on a porous surface can be taken to be zero, is also considered.