Asymmetric travelling waves in a square duct
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抄録
Two types of asymmetric solutions are found numerically in square-duct flow. They emerge through a symmetry-breaking bifurcation from the mirror-symmetric solutions discovered by Okino et al. (J. Fluid Mech., vol. 657, 2010, pp. 413–429). One of them is characterized by a pair of streamwise vortices and a low-speed streak localized near one of the sidewalls and retains the shift-and-reflect symmetry. The bifurcation nature as well as the flow structure of the solution show striking resemblance to those of the asymmetric solution in pipe flow found by Pringle & Kerswell (Phys. Rev. Lett., vol. 99, 2007, A074502), despite the geometrical difference between their cross-sections. The solution seems to be embedded in the edge state of square-duct flow identified by Biau & Bottaro (Phil. Trans. R. Soc. Lond. A, vol. 367, 2009, pp. 529–544). The other solution deviates slightly from the mirror-symmetric solution from which it bifurcates: the shift-and-rotate symmetry is retained but the mirror symmetry is broken.
収録刊行物
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- JOURNAL OF FLUID MECHANICS
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JOURNAL OF FLUID MECHANICS 693 57-68, 2012-01-06
Cambridge University Press
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詳細情報 詳細情報について
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- CRID
- 1050564285718041600
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- NII論文ID
- 120005243198
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- NII書誌ID
- AA00698198
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- ISSN
- 00221120
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- HANDLE
- 2433/171946
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles