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arXiv 2107.08696physics.flu-dyn
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均匀剪切来流作用下平板边界层的瞬态增长

Transient growth in a flat plate boundary layer under a stream with uniform shear

Shyam Sunder Gopalakrishnan, Alakesh Chandra Mandal

AI总结:

本研究针对均匀剪切来流下半无限平板边界层的瞬态增长展开,发现初始最优扰动为流向涡,相比Blasius边界层能量更高、展向波长更大,且最大最优放大倍数随自由流剪切梯度指数增长。

摘要:

边界层流动中涉及外部涡量的最简单问题之一,是半无限平板在均匀剪切来流作用下的流动。我们研究该流动中的瞬态增长现象,以探究自由流剪切对能量放大的作用,并分析其与Blasius(布拉修斯)流动的差异。研究发现,引发最大增长的初始最优扰动是流向涡,这与其他剪切流动的情况一致。与Blasius边界层相比,该流动的最优能量更高,流向涡的展向波长更大。我们给出了最大最优放大倍数的标度律,发现其随自由流剪切梯度呈指数增长。

英文摘要:

One of the simplest problems involving external vorticity in boundary layer flows is the flow over a semi-infinite plate under a stream of uniform shear. We study the transient growth phenomenon in this flow to investigate the role of freestream shear on energy amplification, and analyse the differences with the Blasius flow. The initial optimal disturbance which triggers the maximum growth is found to be streamwise vortices, as in other shear flows. Compared to the Blasius boundary layer, higher optimum energy and larger spanwise wavelength of streamwise vortices have been observed. We provide scaling laws for the maximum optimal amplification, which is found to increase exponentially with the freestream shear gradient.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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