Generalized Newton-Busemann Law For Two-Dimensional Steady Hypersonic-limit Euler Flows Passing Ramps With Skin-Frictions

TL;DR

This paper develops a generalized Newton-Busemann law for hypersonic-limit Euler flows passing ramps with skin-frictions, using Radon measure solutions to model shock layers and boundary effects.

Contribution

It introduces a novel approach using Radon measures to model shock layers and extends the Newton-Busemann law to include skin-friction effects in hypersonic flows.

Findings

Constructed Radon measure solutions with boundary-supported densities.

Derived generalized Newton-Busemann law incorporating skin-frictions.

Modeled infinite-thin shock layers under various friction assumptions.

Abstract

By considering Radon measure solutions for boundary value problems of stationary non-isentropic compressible Euler equations on hypersonic-limit flows passing ramps with frictions on their boundaries, we construct solutions with density containing Dirac measures supported on the boundaries of the ramps, which represent the infinite-thin shock layers under different assumptions on the skin-frictions. We thus derive corresponding generalizations of the celebrated Newton-Busemann law in hypersonic aerodynamics for distributions of drags/lifts on ramps.