• 学报（中文） •

### 压缩性对涡环物理特征及其传播速度的影响规律

1. 上海交通大学 航空航天学院， 上海 200240
• 发布日期:2019-10-11
• 通讯作者: 刘洪，男，教授，博士生导师，电话(Tel.)：13917733806; E-mail: hongliu@sjtu.edu.cn.
• 作者简介:林海燕(1987-)，女，江苏省南通市人，博士生，主要从事超声速涡动力学研究.
• 基金资助:
国家自然科学基金重点项目(91441205)、国家自然科学基金青年科学基金项目(51606120)

### The Compressible Effect on Characteristics and Translate Velocity of Vortex Ring

LIN Haiyan，XIANG Yang，ZHANG Bin，LIU Hong

1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China
• Published:2019-10-11

Abstract: Vortex ring is the fundamental structure in three dimensional fluid field. Three dimensional Navier-Stokes simulations are performed through finite volume method to reveal the compressible effect on axial symmetry vortex ring generated at the open end of a shock tube. Local Mach number and vortex Mach number can characterize the compressibility quantificationally. Compressibility vortex ring can be classified into three categories which correspond to subsonic, transonic and supersonic. The parameters related to vortex ring structure are also affected by compressibility. As the increase of compressibility, the vorticity profile in vortex core deviates from Gaussian distribution and the concentrated vorticity fields in the vortex core diminishes; the radius of vortex ring increase with the increasing compressibility; the radius of vortex core increase first then decrease slightly due to the embedded shock wave. The velocity of vortex ring is proportional to the compressibility. The theoretical velocity obtained from simulation agrees well with the calculated value obtained by vortex Mach number, which indicates that the formula is suitable to all three kinds of compressible vortex rings.