Entropy Value on the Surface of a Non-Symmetric Convex Bow Part of a Body in the Supersonic Flow

Abstract

In this study, using the Euler equations, we investigate 3D stationary flows behind a detached bow shock produced in a supersonic flow around a body with a smooth convex bow. The supersonic free stream was considered to be uniform. Maximal entropy on the body surface is substantiated. The streamline that ends at the front stagnation point on the body (the stagnation streamline) is shown to cross the bow shock at the point where the plane tangent to it is perpendicular to the free stream direction. This means that the entropy value on the body surface is calculated by the free stream parameters and is equal to the entropy value behind a normal shock at the point of the stagnation streamline onset.