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受自由来流湍流作用的边界层扰动的尺度律

Scaling of boundary-layer disturbances exposed to free-stream turbulence

Pierre Ricco

arXiv 2609.00740首次发表:更新:

AI 中文总结

本文针对Matsubara与Alfredsson2001年的实验结果,基于边界区方程的拟稳态渐近解等,建立模型解释自由来流湍流产生的Klebanoff模态能量谱的尺度律,给出理论结果。

AI 中文摘要

本文针对Matsubara与Alfredsson(2001)的实验结果,给出了关于Klebanoff模态能量谱尺度律的理论研究结果;Klebanoff模态是自由来流湍流在平板转捩边界层中产生的流向拉长的涡旋扰动。该尺度律由描述流向与展向能量谱流向演化的模型解释,理论框架基于边界区方程的拟稳态渐近解、自由来流谱的轴对称模型,以及边界层对外扰动的谱响应。

英文摘要

We present theoretical results related to the experimental findings of Matsubara and Alfredsson (2001) on the scaling of the energy spectra of the Klebanoff modes, i.e. streamwise-elongated vortical disturbances generated by free-stream turbulence in a flat-plate transitional boundary layer. The scaling is explained by a model that describes the streamwise evolution of the streamwise and spanwise energy spectra. The theoretical framework is based on the quasi-steady asymptotic solution of the boundary-region equations, on an axial-symmetric model of the free-stream spectrum, and on the spectral response of the boundary layer to the external perturbations.

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