多孔壁面对高速边界层最优增长条带二次失稳的影响规律  

Effects of porous wall on secondary instability of optimal growth streaks in high speed boundary layers

作　　者：王宇天 刘建新 王晓坤[1] 李晓明[1] WANG Yutian;LIU Jianxin;WANG Xiaokun;LI Xiaoming(Aviation University of Air Force,Changchun 130022,China;School of Mechanical Engineering,Tianjin University,Tianjin 300072,China)

机构地区：[1]空军航空大学,长春130022 [2]天津大学机械工程学院,天津300072

出　　处：《航空学报》2023年第22期142-156,共15页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(92052301,12172252,12202495)。

摘　　要：边界层转捩是高超声速飞行器设计中的关键基础理论问题。当环境扰动强度较高时,将在模态扰动失稳区上游发生由最优增长条带二次失稳触发的亚临界转捩。为评估多孔壁面在亚临界转捩中的控制效果,以超/高超声速平板边界层流动为研究对象,建立了基于伴随抛物化稳定性方程的优化系统与求解方法。以最优扰动非线性演化形成的三维条带边界层为新的基本流动开展全局稳定性分析,研究表明:多孔壁面对第一模态频率范围内的二次失稳扰动为促进作用,对第二模态频率范围内的二次失稳扰动起抑制作用,并且转折频率接近局部快/慢模态的同步频率,对于工程应用中多孔涂层的布置方案具有一定的指导意义。Boundary layer transition is a key fundamental theoretical problem in the design of hypersonic vehicles.High intensity environmental disturbances leads to subcritical transition upstream of the mode instability region,trig⁃gered by secondary instability of optimal growth streaks.To assess the effect of the porous wall on the subcritical tran⁃sition,this paper studies both super/hypersonic flat-plate boundary layer flows.Based on the adjoint parabolized stabil⁃ity equations,an optimization system as well as a numerical method is developed.The three-dimensional boundary layer flow with streaks resulted from the optimal disturbances of nonlinear evolution is used as the new base flow for the bi-global stability analysis.The result shows that,the secondary instability modes in the frequency range of the second modes are stabilized by the porous wall,while those in the frequency range of the first modes are destabilized,with the turning frequency close to the local synchronization frequency.Such regularity is helpful for the arrangement of porous coating in engineering applications.

关 键 词：亚临界转捩 最优扰动 全局稳定性分析 多孔壁面 抛物化稳定性方程 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]