Asymptotics of dispersion curves in time-dependent problems of free viscous–inviscid interaction at transonic speeds

Abstract

New high-frequency asymptotics of the dispersion relation have been obtained when analyzing the stability of a transonic boundary layer with self-induced pressure. It is shown that the dependence of the perturbation frequency on the wave number (except for the range of small wave numbers), which was previously considered unambiguous, is an exceptional case.