Abstract
Three-dimensional secondary global instability for the two-dimensional Stuart vortex of a free shear layer is investigated. That is in order to clarify an increase mechanism of the turbulence kinetic energy which is due to three-dimensional rib structure between rolls when the flow separation is achieved. We developed a program to compute the optimal transitional modes to amplify kinetic energy the most for the two-dimensional Stuart vortex base flow and compared the three-dimensional optimal growths for several Stuart vortex profiles, they correspond to which pulsation generates in downstream of a hump in DNS study. Results show that linear energy growth rate of turbulence component becomes large at the high-frequency case and small at the low-frequency case, that tendency does not correspond to which in DNS study. It implies that not only the linear growth but also nonlinear process should contribute to generate three-dimensional rib structure and increase turbulence energy.
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References
A. Yakeno, S. Kawai, T. Nonomura, K. Fujii, Separation-control based on turbulent transition around a two-dimensional hump at different Reynolds numbers. Int. J. Heat Fluid Flow 55, 52–64 (2015)
A. Yakeno, Y. Abe, S. Kawai, T. Nonomura, K. Fujii, Unsteady shear layer flow under excited local body-force for flow-separation control in downstream of a two-dimensional hump. Int. J. Heat Fluid Flow 74, 15–27 (2018)
D. Barkley, H.M. Blackburn, S.J. Sherwin, Direct optimal growth analysis for timesteppers. Int. J. Numer. Methods Fluids 57, 1435–1458 (2008)
M.K. Khandelwal, S. Suzuki, M. Hirota, Y. Hattori, Hyperbolic instability of stratified vortices, in Proceedings of the Fourteenth International Conference on Flow Dynamics (ICFD), Sendai, IS14-17 (2017)
Acknowledgements
This work is partially supported by Tohoku University Center for Gender Equality Promotion (TUMUG).
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Yakeno, A., Hirota, M. (2019). Three-Dimensional Global Stability on Stuart Vortex of Free Shear Layer. In: Örlü, R., Talamelli, A., Peinke, J., Oberlack, M. (eds) Progress in Turbulence VIII. iTi 2018. Springer Proceedings in Physics, vol 226. Springer, Cham. https://doi.org/10.1007/978-3-030-22196-6_2
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DOI: https://doi.org/10.1007/978-3-030-22196-6_2
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