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

被引：0
|
作者：
Qu, Ai-fang [1 ]
Su, Xue-ying [2 ]
Yuan, Hai-rong [3 ,4 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[3] East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, Shanghai 200241, Peoples R China
[4] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2024年
基金：
中国国家自然科学基金;
关键词：
compressible Euler equations; hypersonic-limit flow; Newton-Busemann law; Radon measure solution; Dirac measure; skin friction; RADON MEASURE SOLUTIONS; DELTA-SHOCKS; EQUATIONS; SYSTEMS;
D O I：
10.1007/s10255-024-1087-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：13
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