### 船尾形状对旋成体马格努斯效应的影响

1. 中国空气动力研究与发展中心 计算空气动力研究所, 绵阳 621000
• 收稿日期:2017-09-13 修回日期:2018-04-08 出版日期:2018-06-15 发布日期:2018-03-14
• 通讯作者: 陈波,E-mail:chenbo01010401@163.com E-mail:chenbo01010401@163.com
• 基金资助:
国家"973"项目（61324801ZT03）；国家自然科学基金（11572341）

### Influence of boattail shape on Magnus effects of a spinning rotating body

XIAO Zhongyun, MIAO Tao, CHEN Bo, JIANG Xiong

1. Computational Aerodynamics Institute, China Aerodynamic Research and Development Center, Mianyang 621000, China
• Received:2017-09-13 Revised:2018-04-08 Online:2018-06-15 Published:2018-03-14
• Supported by:
National Basic Research Program of China (61324801ZT03); National Natural Science Foundation of China (11572341)

Abstract: The pointed rotating body and boattail shape are common layout forms of projectiles such as bullets, cannons and rockets. Studies have shown that the boattail layout has the effect of reducing the bottom resistance and increasing the range, while on the other side it has an adverse effect on the motion stability owing to the increasing Magnus effects of rotating bodies. In order to explain this flow phenomena, the numerical simulation of the flow field of a three-dimensional spinning bullet is carried out to analyze the Magnus forces and moments from subsonic to supersonic, focusing on the comparison between the standard and the boattail bottom shape. The results indicate that the boattail shape has an effect of increasing the Magnus effect relative to the standard shape at all incoming flows, and the Magnus forces and movements are proportional to the boattail angle. In order to reveal the flow mechanism, a comparative analysis of the distributions of Magnus moment coefficients, boundary layer thickness and boundary layer displacement thickness for the two layouts is performed at selected incoming speeds. Results show that the stern Magnus effect at subsonic and transonic speeds is caused by the accelerated flow around the corner, which increases the local pressure coefficient amplitude. For supersonic flow, the Magnus effect is caused by the expansion of the flow at the stern, which increases the boundary layer displacement thickness distortion on both sides of the rotating body. Both of the effects increase the Magnus moment of rotating body, in terms of subsonic flow, this effect occurs at the joint between the column section and the stern section, while in supersonic flow, it occurs at the stern section after the joint. Both effects may play a role when the incoming velocity is around the acoustic velocity point, causing the Magnus effect of the boattail configuration to increase substantially.