Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle

被引：3
|
作者：
Duan, Ben [1 ]
Weng, Shangkun [2 ,3 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[3] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2018年 / 69卷 / 05期
关键词：
Euler; Axially symmetric; Stream function; Swirl; FREE-BOUNDARY PROBLEMS; FULL EULER EQUATIONS; TRANSONIC SHOCKS; LARGE VORTICITY; IRROTATIONAL FLOWS; SONIC FLOWS; STABILITY; EXISTENCE; SYSTEM; DUCT;
D O I：
10.1007/s00033-018-1029-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. For general infinitely long axisymmetric nozzles, it is worth noting that this is a first result containing non-trivial swirl velocity.
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页数：17
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