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二维弯曲激波/湍流边界层干扰流动理论建模

程剑锐1,施崇广1,瞿丽霞2,徐悦2,尤延铖1,朱呈祥3   

  1. 1. 厦门大学航空航天学院
    2. 中国航空研究院
    3. 厦门大学
  • 收稿日期:2021-06-21 修回日期:2021-09-10 出版日期:2021-09-22 发布日期:2021-09-22
  • 通讯作者: 朱呈祥
  • 基金资助:
    航空科学基金;技术领域基金

Theoretical model of 2D curved shock wave/turbulent boundary layer interaction

Jian-Rui CHENG1, 1,Li-Xia QU1,XU Yue2,   

  • Received:2021-06-21 Revised:2021-09-10 Online:2021-09-22 Published:2021-09-22

摘要: 内外流曲面设计构型的广泛应用使得人们对以弯曲激波为特征的激波/边界层干扰机理的认知面临着艰巨挑战,构建全新的弯曲激波/边界层干扰理论体系意义重大。首先基于弯曲激波理论与自由干扰理论构建了二维弯曲入射激波/平板湍流边界层干扰的无粘流动模型,通过将流场划分为弯曲激波/膨胀波干扰区、弯曲激波/分离激波干扰区、边界层流动分离区三个典型流动区域,利用弯曲激波的波后二阶参数实现了对二维弯曲激波/湍流边界层干扰的流场特征描述。随后,采用数值方法验证了该理论模型的准确性,在五种不同来流马赫数及激波条件下最大误差均小于4.5%。在此基础上,利用该模型着重分析了弯曲入射激波强度、边界层厚度、下游扰动对二维弯曲激波/湍流边界层干扰流场的影响规律,总结了分离区上游影响长度的增长特性。该模型是构建三维弯曲激波/边界层干扰理论体系的基础,也为未来弯曲激波/边界层干扰研究提供了一种新手段。

关键词: 弯曲激波, 湍流边界层, 激波/边界层干扰, 流场结构, 流动分离

Abstract: With the application of curved compression configurations in internal/external flows, it becomes a challenge in the field of curved shock wave/turbulent boundary layer interactions(CSWBLI). As a result, it is of great importance to create new theories of CSWBLI. In this paper, an inviscid model of 2D incident curved shock/turbulent boundary layer interaction on a flat plate was built based on the curved shock theory(CST) and the free interaction theory(FIT). The flowfield was divided into three regions, including the curved shock wave/expansion wave interaction region, the curved shock/separation shock interaction region and the boundary layer region, where the second order parameters behind the curved shock wave were used to describe the characteristics of the 2D CSWBLI flowfield. Thereafter the accuracy of the model was verified by numerical simulations in five models with different mach num-bers and incident shocks, where the maximum error was less than 4.5%. Finally, the influences of incident shock, local boundary layer and downstream disturbance on the interaction were analyzed, based on which the rules of upstream influence length of the separation bubble in the 2D CSWBLI were summarized. The developed model is the fundamental of the flowfield structure of 3D CSWBLI, which also provides a new method to research the curved shock/boundary layer interaction in the future.

Key words: curved shock, turbulent boundary layer, shock wave/boundary layer interaction, flowfield structure, flow separation

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