涡激旋转下方柱小幅振荡模态的自由流线-边界层理论模型  

Free Streamline-Boundary Layer Model for Small-Amplitude Oscillation Regime of Square Cylinder Under Vortex-Induced Rotation

作　　者：罗宸晟 牟瑞勇 黄行蓉 黄伟希[4] 方乐[1,2,3] Luo Chensheng;Mou Ruiyong;Huang Xingrong;Huang Weixi;Fang Le(Ecole Centrale de Pékin/School of General Engineering,Beihang University,Beijing 100191,China;Beihang Hangzhou Innovation Institute Yuhang,Hangzhou 310023,China;Research Institute of Aero-Engine,Beihang University,Beijing 102206,China;School of Aerospace Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]北京航空航天大学中法工程师学院/国际通用工程学院,北京100191 [2]北京航空航天大学杭州创新研究院,杭州310023 [3]北京航空航天大学航空发动机研究院,北京102206 [4]清华大学航天航空学院,北京100084

出　　处：《动力学与控制学报》2023年第6期55-65,共11页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(52105083,11772032);航空科学基金(2020Z006051003)资助项目。

摘　　要：针对刚体在流体中涡激旋转的数值结果表明,方柱在低雷诺数涡激旋转中有六种模态.本文针对其中的小幅振荡模态,通过综合无黏绕流情况下的自由流线理论与有黏平板的边界层理论,提出了一种理论模型;通过与浸没边界法所得数值结果进行对比,验证了该理论模型的有效性;并分析了小幅振荡模态的主要驱动力,解释了出现周期性振荡的原因.Numerical studies about the vortex-induced rotation(VIR)show that 6 regimes exist for square cylinder under VIR at small Reynolds numbers.Focusing on the small-amplitude oscillation regime,the paper proposes an analytical model of this regime by considering both the free streamline theory of inviscid flow around body and the boundary layer theory of viscous flow over a flat.The validity of this model is proved by comparing with numerical results using immersed boundary method.This paper also analyses the main driving force of small-amplitude oscillation and explains the reason of periodical oscillation.

关 键 词：涡激旋转 方柱 浸没边界法 自由流线 边界层 

分 类 号：O324[理学—一般力学与力学基础] O351.3[理学—力学]