Kinetyc viscous shock layer near leading edge of a thin rotating disc

A. L. Ankudinov

Matematičeskoe modelirovanie, Tome 35 (2023) no. 11, pp. 94-102.

Résumé

A regularized problem of describing an irregular nonequilibrium flow of a homogeneous molecular gas in a hypersonic kinetic thin viscous shock layer (kinetic TVSL) near the leading edge of the windward side of a thin rotating disk when it flows around 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 no 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 (solution) is also an important attribute of numerical modeling of the TVSL downstream.

Détail

Keywords: kinetic thin viscous shock layer (kinetic TVSL), polyatomic gas, nonequilibrium, rotating thin disk, angle of attack, leading edge, correlation of TVSL flows.

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