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Nonlinear Effects of 2-D and 3-D Disturbances on Laminar Separation Bubbles

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Nonlinear Instability of Nonparallel Flows

Abstract

The stability of a laminar separation bubble caused by a sudden decrease of the free stream velocity along a flat-plate is investigated by means of Direct Numerical Simulations based on the complete 3-D Navier-Stokes equations for incompressible unsteady flow and on primary and secondary stability theory. Four cases with different 2-D and 3-D disturbance development are investigated, (i) a linear case, (ii) and (iii) two cases with secondary instability (subharmonic and fundamental resonance), and (iv) a 3-D nonlinear case (oblique breakdown). Due to the strong (mainly primary) amplification of 2-D and 3-D waves in the bubble, secondary instability is hard to identify and plays only a minor role. The oblique breakdown, however yields strong amplification of higher harmonics and a nonlinearly saturated regime with reasonable turbulent mean-flow characteristics.

This work is Supported by DFG and by Universität Stuttgart.

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References

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© 1994 Springer-Verlag, Berlin Heidelberg

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Rist, U. (1994). Nonlinear Effects of 2-D and 3-D Disturbances on Laminar Separation Bubbles. In: Lin, S.P., Phillips, W.R.C., Valentine, D.T. (eds) Nonlinear Instability of Nonparallel Flows. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85084-4_28

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  • DOI: https://doi.org/10.1007/978-3-642-85084-4_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-85086-8

  • Online ISBN: 978-3-642-85084-4

  • eBook Packages: Springer Book Archive

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