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ROUGHNESS INDUCED TRANSIENT GROWTH: NONLINEAR EFFECTS

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IUTAM Symposium on Laminar-Turbulent Transition

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 78))

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Abstract

Numerical simulations are used to model the disturbance field associated with a spanwise periodic array of circular disks in a laminar boundary layer. Besides capturing the major trends from the recent wind tunnel measurements by White and Ergin (2003), the simulations reveal the intricate effects of disturbance nonlinearity and roughness geometry on the transient growth characteristics in the wake of the roughness array and provide a numerical database for validating detailed features of optimal growth theory in the context of roughness induced stationary disturbances.

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REFERENCES

  • Andersson, P., Berggren, M., and Henningson, D.S., “Optimal Disturbances and Bypass Transition in Boundary Layers,” Phys. Fluids, Vol. 11(1), pp. 134-150, 1999.

    Article  MathSciNet  Google Scholar 

  • Fischer, P.F., and Choudhari, M., “Numerical Simulations of Roughness-Induced Transient Growth in a Laminar Boundary Layer,” AIAA Paper 2004-2539, 2004.

    Google Scholar 

  • Fischer, P.F., Kruse, G.W., and Loth, F., “Spectral element methods for transitional flows in complex geometries,” J. of Sci. Comput. Vol. 17, 1, pp. 81-98, 2002.

    MathSciNet  Google Scholar 

  • Fransson, J.H.M., Brandt, L., Talamelli, A., and Cossu, C., “Experimental and Theoretical Investigation of the Nonmodal Growth of Steady Streaks in a Flat Plate Boundary Layer,” Phys. Fluids, Vol. 16(10), pp. 3627-3638, 2004.

    Article  Google Scholar 

  • Gaster, M., Grosch, C.E., and Jackson, T.L., “The Velocity Field Created by a Shallow Bump in a Boundary Layer,” Phys. Fluids, Vol. 6(9), pp. 3079-3085, 1994.

    Article  Google Scholar 

  • Kendall, J.M., “Experimental Study of Disturbances Produced in a Pre-Transitional Laminar Boundary Layer by Weak Free-Stream Turbulence,” AIAA Paper 85-1695, 1985.

    Google Scholar 

  • Landahl, M.T., “A Note on an Algebraic Instability of Inviscid Parallel Shear Flows,” J. Fluid Mech., Vol. 98, pp. 243-251, 1980.

    MATH  MathSciNet  Google Scholar 

  • Leib, S.J., Wundrow, D.W., and Goldstein, M.E., “Effect of Free-Stream Turbulence and Other Vortical Disturbances on a Laminar Boundary Layer,” J. Fluid Mech., Vol. 380, pp. 169-203, 1999.

    Article  MathSciNet  Google Scholar 

  • Luchini, P., “Reynolds-Number-Independent Instability of the Boundary Layer over a Flat Surface: Optimal Perturbations,” J. Fluid Mech., Vol. 404, pp. 289-309, 2000.

    Article  MATH  MathSciNet  Google Scholar 

  • Reshotko, E., “Transient Growth - A Factor in Bypass Transition,” Phys. Fluids, Vol. 13(5), pp. 1067-1075, 2001.

    Article  Google Scholar 

  • Reshotko, E. and Tumin, A., “Investigation of the Role of Transient Growth in Roughness-Induced Transition,” AIAA Paper 2002-2850, 2002.

    Google Scholar 

  • Tumin, A., and Reshotko, E., “Spatial Theory of Optimal Disturbances in Boundary Layers,” Phys. Fluids, Vol. 13(7), pp. 2097-2104, 2001.

    Article  MathSciNet  Google Scholar 

  • Tumin, A., and Reshotko, E., “The Problem of Boundary-Layer Flow Encountering a Three-Dimensional Hump Revisited,” AIAA Paper 2004-0101, 2004.

    Google Scholar 

  • White, E.B., “Transient Growth of Stationary Disturbances in a Flat Plate Boundary Layer,” Phys. Fluids, Vol. 14(2), pp. 4429-4439, 2002.

    Article  MathSciNet  Google Scholar 

  • White, E.B., and Ergin, F.G., “Receptivity and Transient Growth of Roughness-Induced Disturbances,” AIAA Paper 2003-4243, 2003 (submitted for publication to Phys. Fluids).

    Google Scholar 

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Choudhari, M., Fischer, P. (2006). ROUGHNESS INDUCED TRANSIENT GROWTH: NONLINEAR EFFECTS. In: Govindarajan, R. (eds) IUTAM Symposium on Laminar-Turbulent Transition. Fluid Mechanics and Its Applications, vol 78. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4159-4_31

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  • DOI: https://doi.org/10.1007/1-4020-4159-4_31

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3459-6

  • Online ISBN: 978-1-4020-4159-4

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