二维稳定高超声速极限欧拉流通过带表皮摩擦匝道时的广义牛顿-布塞曼定律

Pub Date : 2024-04-19 DOI:10.1007/s10255-024-1087-6

Ai-fang Qu, Xue-ying Su, Hai-rong Yuan

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引用次数: 0

摘要

通过考虑高超音速极限流经过其边界上有摩擦的斜面上的静止非各向同性可压缩欧拉方程的边界值问题的拉顿量解，我们构建了密度包含斜面边界上支持的狄拉克量的解，它代表了皮肤摩擦不同假设下的无限薄冲击层。因此，我们推导出高超音速空气动力学中著名的牛顿-布塞曼定律在斜面上阻力/升力分布的相应概括。

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Generalized Newton-Busemann Law for Two-dimensional Steady Hypersonic-limit Euler Flows Passing Ramps with Skin-frictions

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.

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