Mathematical Modeling of an Interactive Transonic Boundary Layer with a Nonlinear Profile of Undisturbed Speed

Abstract

Using the triple-deck theory, a nonclassical boundary layer over a solid flat plate is investigated in the case of unsteady free viscous–inviscid interactions at transonic speeds. A feature of this study is the choice of the quadratic dependence of the longitudinal component of the unperturbed velocity in the boundary layer on the transverse coordinate and the variability of the pressure gradient. A qualitative difference between the flow pattern in the case considered and the case of a linear velocity profile in the boundary layer is shown.