Asymptotic Burnett Model of the Gas Flow in a Thin Shock Layer near a Cylinder

摘要

Using the two-layer ideology of the theory of a viscous shock layer assuming the presence in the structure of the flow between the streamlined surface and the overrunning unperturbed stream of two (each with its own specific) characteristic areas-layers (smeared-out shock + shock layer itself), the complete Burnett equations are simplified in accordance with the problem of the cross-sectional flow-around of a round cylinder by the hypersound flow of rarified gas. The unitary asymptotic composite system of equations is formulated describing the flow in the entire thin shock layer including both of its above-mentioned structural areas (of the sublayer). Unlike the full Burnett equations, the obtained equation of the Burnett thin shock layer has an order not exceeding the order of the corresponding Navier-Stokes problem of the hypersonic thin shock layer, for which the research tool is sufficiently well developed.