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arXiv 2012.01854physics.flu-dyn
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绕钝头体的高超音速前缘后掠流的感受性和稳定性

Receptivity and stability of hypersonic leading-edge sweep flows around a blunt body

Youcheng Xi, Jie Ren, Liang Wang, Song Fu

摘要:

本文对高超声速后掠流绕无限翼展钝头体进行了整体稳定性/感受性分析。首次得到了前附着线模态随后掠角从20 °到70 °变化的特性。整体特征函数表现出前缘附着线不稳定性的特征。同时,横流(在小后掠角)或第二Mack模式(在较大后掠角)占主导地位进一步下游。我们建立了一个基于伴随的双正交本征函数系统,以解决此类流动对任何外力和边界扰动的感受性问题。感受性分析表明,无论后掠角如何,整体模态对附着线附近施加的外力和表面扰动的响应最大。本文还证明了本文提出的双正交本征函数系的整体推广可以成功地应用于复杂流动。

英文摘要:

This study performs global stability/receptivity analyses of hypersonic sweep flows around a blunt body with an infinite span. For the first time, we obtain the characteristics of the leading attachment-line mode to the variation of sweep angles from 20 to 70 degrees. The global eigenfunctions exhibit the characteristics of the attachment-line instability at the leading edge. At the same time, cross-flow (at small sweep angles) or second Mack mode (at larger sweep angles) dominates further downstream. We establish an adjoint-based bi-orthogonal eigenfunction system to address the receptivity problem of such flows to any external forces and boundary perturbations. The receptivity analyses indicate that the global modes are the most responsive to external forces and surface perturbations applied in the vicinity of the attachment line, regardless of the sweep angles. It is also proved that the present global extension of the bi-orthogonal eigenfunction system can be successfully applied to complex flows.

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