Asymptotic analysis of the structure of long-wave Görtler vortices in a hypersonic boundary layer

An asymptotic (at high Reynolds and Görtler numbers) model of nonlinear long-wave Görtler vortices localized inside the boundary layer near a concave surface located in a hypersonic viscous gas flow in the regime of weak viscid-inviscid interaction is constructed. The maximum wavelength is evaluated. Numerical solutions are obtained for an inviscid local limit in the linear approximation. It is shown that an increase in the free-stream Mach number exerts a stabilizing effect on the vortices, and a change in the Prandtl number has no significant effect on them. For the case where the vortices form a three-layered disturbed flow structure, it is shown analytically for the first time that surface heating exerts a stabilizing action on the vortices.