Kinetic Viscous Shock Layer near the Leading Edge of a Thin Rotating Disk

A regularized problem of describing an irregular nonequilibrium flow of a homogeneous molecular gas in a hypersonic kinetic thin viscous shock layer (TVSL) near the leading edge of the windward side of a thin rotating disk flowing around it with a finite angle of attack is formulated. It is shown that the friction and heat flow at the leading edge of the rotating disk in the kinetic TVSL coincide, respectively, with similar values in the Navier–Stokes TVSL. A formula for calculating the kinetic pressure at the leading edge of a rotating disk in a kinetic flow is obtained. It is shown that the pressure at the leading edge of the rotating disk in the kinetic TVSL exceeds the pressure at the edge in the Navier–Stokes version of the TVSL. It is shown that taking into account the kinetics of the flow in the flow under study by means of the kinetic approximation of the TVSL affects the pressure (pressure increase) in the region under consideration and does not affect friction and heat exchange on the wall in any way. The proposed mathematical model of the flow in a kinetic TVSL near the edge allows us to obtain an analytical solution of a regularized problem in this area of strong irregularity, which is also an important attribute of the numerical modeling of the TVSL downstream.