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A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows

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Abstract

The present paper proposes a Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows based on the principle of weighted averaging zero skin-friction given by Haller (HALLER, G. Exact theory of unsteady separation for two-dimensional flows. Journal of Fluid Mechanics, 512, 257–311 (2004)). By analyzing the distribution of the finite-time Lyapunov exponent (FTLE) along the no-slip wall, it can be found that the periodic separation takes place at the point of the zero FTLE. This new criterion is verified with an analytical solution of the separation bubble and a numerical simulation of lid-driven cavity flows.

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Authors and Affiliations

  1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, 621000, Sichuan Province, China

    Shuaibin Han & Shuhai Zhang

  2. China Aerodynamics Research and Development Center, Mianyang, 621000, Sichuan Province, China

    Hanxin Zhang

Authors
  1. Shuaibin Han
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  2. Shuhai Zhang
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  3. Hanxin Zhang
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Corresponding author

Correspondence to Shuhai Zhang.

Additional information

Citation: HAN, S. B., ZHANG, S. H., and ZHANG, H. X. A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows. Applied Mathematics and Mechanics (English Edition), 39(7), 1007–1018 (2018) https://doi.org/10.1007/s10483-018-2350-8

Project supported by the National Natural Science Foundation of China (Nos. 11372340 and 11732016)

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Han, S., Zhang, S. & Zhang, H. A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows. Appl. Math. Mech.-Engl. Ed. 39, 1007–1018 (2018). https://doi.org/10.1007/s10483-018-2350-8

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  • DOI: https://doi.org/10.1007/s10483-018-2350-8

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