Investigation of the hypersonic flow around a thermally insulated sliding plate in the regime of strong viscous-inviscid interaction under variable conditions at the trailing edge

The aim of this work is to study the effect of the fourth terms of the expansions in the vicinity of the leading edge on the flow characteristics and the propagation of disturbances of the induced pressure for flow functions in the spatial boundary layer when flowing around a sliding plate of finite length in the regime of strong viscous-inviscid interaction under variable conditions at the trailing edge. It is found that the fourth term of the expansion is proportional to the second derivative of the induced pressure along the transverse coordinate. The corresponding boundary value problems are formulated and solved for the four terms of the expansion depending on the governing parameters, and the importance of taking into account the fourth term of the expansion when calculating the flow characteristics in the presence of a slip angle and a sufficiently large second derivative of the pressure at the trailing edge of the plate with respect to its span is shown. The scientific novelty of the work lies in the fact that the boundary value problem for the fourth terms of the expansion is formulated and solved for the first time.