A Lagrangian criterion of unsteady flow separation for two-dimensional periodic flows |
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| Authors: | Shuaibin Han Shuhai Zhang Hanxin Zhang |
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| Institution: | 1. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan Province, China;2. China Aerodynamics Research and Development Center, Mianyang 621000, Sichuan Province, China |
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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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| Keywords: | orthotropic rectangular plate nonlinear bending method of twovariable method of mixing perturbation uniformly valid asymptotic solutions two-dimensional periodic flow unsteady flow separation Lagrangian criterion finite-time Lyapunov exponent(FTLE) |
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