横流驻波增长因子模式在跨声速边界层的应用  

Applications of transition model based on amplification factor of stationary crossflow waves in transonic boundary layers

作　　者：王玉轩 徐家宽[1] 张扬[2] 乔磊[1] 白俊强[1,3] WANG Yuxuan;XU Jiakuan;ZHANG Yang;QIAO Lei;BAI Junqiang(School of Aeronautics,Northwestern Polytechnical University,Xi'an 710072,China;State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi'an Jiaotong University,Xi'an 710049,China;Unmanned System Research Institute,Northwestern Polytechnical University,Xi'an 710072,China)

机构地区：[1]西北工业大学航空学院,西安710072 [2]西安交通大学机械结构强度与振动国家重点实验室,西安710049 [3]西北工业大学无人系统技术研究院,西安710072

出　　处：《空气动力学学报》2022年第6期108-116,共9页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(12102361);中央高校基本科研业务费(G2021KY05101)。

摘　　要：经过近半个世纪的研究表明,在航空航天飞行器表面边界层的转捩预测方面,基于线性稳定性理论(linear sta-bility theory,LST)的e^(N)方法是国内外知名研究机构非常信赖的方法之一,然而传统的线性稳定性理论求解过程较为复杂,难以推广应用到复杂的气动外形。随着当地化转捩模式的快速发展,将传统线性稳定性理论的分析流程模式化,即将线性稳定性理论分析转化为一个CFD问题,成为研究热点。在Coder&Maughmer发展了二维Tollmien-Schlichting(T-S)波的增长因子输运方程之后,本文作者于2019年首次提出了低速边界层的横流驻波增长因子输运方程,并在2020年将其拓展至跨声速流动。本文选取了只针对跨声速后掠翼边界层横流转捩的试验标模验证该方法的合理性和精确性。经过验证,所提出的横流关键指示因子的当地化预测公式构造合理,增长因子模式的预测结果与标准LST和风洞试验结果吻合良好。After nearly half a century’s research,it is known that the e^(N) method based on linear stability theory(LST)is one of the most reliable methods for the boundary layer transition prediction.However,the traditional LST is difficult to be applied to complex aerodynamic configurations due to its complicated process of searching for the solution.With the rapid development of local-variable-based transition models,it has become a research hotspot to model the analysis process of the traditional LST,that is,to transform the LST analysis into a computational fluid dynamics(CFD)problem.After Coder&Maughmer developed the transport equation for the amplification factor of two-dimensional Tollmien-Schlichting(T-S)waves,the amplification factor transport equation for stationary crossflow waves in incompressible boundary layers was first proposed in 2019 and then extended to transonic flows in 2020 by the present authors.In this study,a wind-tunnel test model that only targets the crossflow transition of a transonic swept wing boundary layer was selected to verify the rationality and accuracy of the method.It is shown that,the proposed local prediction formula for the key indicator factor of crossflow is reasonable,and the prediction results based on the amplification factor are in good agreement with the standard LST and wind tunnel test results.

关 键 词：线性稳定性理论 e^(N)方法 增长因子 转捩模式 横流驻波 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程] O317[理学—一般力学与力学基础]