Mathematical simulation of nonequilibrium shock layer flow around a rotating body

An axisymmetric blunt body rotating uniformly about its own axis is placed in a coaxially directed hypersonic single-species polyatomic gas flow that is assumed to be nonequilibrium with respect to internal and translational degrees of freedom. A mathematical model of this flow based on the well-known approximation of a macrokinetic thin viscous shock layer (TVSL) for bodies of finite thickness is proposed. An important correlation between the flows in the considered kinetic TVSL and the Navier–Stokes TVSL is indicated. With the help of this correlation, the nonequilibrium character of the flow with respect to internal and translational degrees of freedom can be taken into account much more easily by reducing the kinetic problem to the Navier–Stokes one. The solution to the kinetic TVSL problem is constructed as based entirely on the corresponding Navier–Stokes TVSL solution. It is shown that allowance for the kinetics of the nonequilibrium molecular gas flow in the TVSL around the rotating body does not affect friction and heat transfer on the wall (their characteristics coincide in the kinetic and Navier–Stokes TVSL problems). It is also shown that the kinetic TVSL solution near the stagnation point (more specifically, along the normal to the surface at the forward stagnation point) is identical to the Navier–Stokes TVSL solution in the same region.