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Global instability in a laminar boundary layer perturbed by an isolated roughness element

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Abstract

Roughness-induced boundary-layer instabilities are investigated by means of hot-film anemometry in a water channel to provide experimental evidence of a global instability. It is shown that the roughness wake dynamics depends on extrinsic disturbances (amplifier) at subcritical Reynolds numbers, whereas intrinsic, self-sustained oscillations (wavemaker) are suspected at supercritical Reynolds numbers. The critical Reynolds number, therefore, separates between two different instability mechanisms. Furthermore, the critical Reynolds number from recent theoretical results is successfully confirmed in this experiment, supporting the physical relevance of 3-d global stability theory.

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References

  • Brandt L, Cossu C, Chomaz JM, Huerre P, Henningson DS (2003) On the convectively unstable nature of optimal streaks in boundary layers. J Fluid Mech 485:221–242

    Article  MathSciNet  MATH  Google Scholar 

  • Bucci MA, Puckert DK, Andriano C, Loiseau JC, Cherubini S, Robinet JC, Rist U (2018) Roughness-induced transition by quasi-resonance of a varicose global mode. J Fluid Mech 836:167–191

    Article  MathSciNet  Google Scholar 

  • Chomaz JM (2005) Global instabilities in spatially developing flows: non-normality and nonlinearity. Annu Rev Fluid Mech 37:357–392

    Article  MathSciNet  MATH  Google Scholar 

  • Chomaz JM, Huerre P, Redekopp LG (1988) Bifurcations to local and global modes in spatially developing flows. Phys Rev Lett 60(1):25–28

    Article  Google Scholar 

  • Fransson JHM, Brandt L, Talamelli A, Cossu C (2005) Experimental study of the stabilization of Tollmien-Schlichting waves by finite amplitude streaks. Phys Fluids 17(5):054110

    Article  MATH  Google Scholar 

  • Fransson JHM, Talamelli A, Brandt L, Cossu C (2006) Delaying transition to turbulence by a passive mechanism. Phys Rev Lett 96(064):501

    Google Scholar 

  • Gregory N, Walker WS (1956) The effect on transition of isolated surface excrescence in the boundary layer. Aero Res Counc R & M:2779

  • Huerre P, Monkewitz P (1990) Local and global instabilities in spatially developing flows. Annu Rev Fluid Mech 22:473–537

    Article  MathSciNet  MATH  Google Scholar 

  • Kachanov YS, Michalke A (1994) Three-dimensional instability of flat-plate boundary layers: theory and experiment. Eur J Mech B/Fluids 13:401–422

    MATH  Google Scholar 

  • Loiseau JC, Cherubini S, Robinet JC, Leriche E (2014) Investigation of the roughness-induced transition: global stability analyses and direct numerical simulations. J Fluid Mech 760:175–211

  • Mochizuki M (1961) Hot wire investigations of smoke patterns caused by a spherical roughness element. Nat Sci Rep Ochanomizu Univ 12(2):87–101

    MathSciNet  Google Scholar 

  • Puckert DK, Rist U (2017) Transition downstream of an isolated cylindrical roughness element on a flat plate boundary layer. In: Dillmann A, Heller G, Krämer E, Wagner C, Bansmer S, Radespiel R, Semaan R (eds) New results in numerical and experimental fluid mechanics XI, vol 136. Springer, New York, pp 295–304

  • Puckert DK, Dieterle M, Rist U (2017) Reduction of freestream turbulence at low velocities. Exp Fluids 58(5):45

    Article  Google Scholar 

  • Shahinfar S, Sattarzadeh SS, Fransson JHM (2014) Passive boundary layer control of oblique disturbances by finite-amplitude streaks. J Fluid Mech 749:1–36

    Article  MATH  Google Scholar 

  • Sreenivasan KR, Strykowski PJ, Olinger DJ (1987) Hopf bifurcation, Landau equation and vortex shedding behind circular cylinders. In: Ghia KN (ed) Proc. Forum Unsteady Flow Sep., vol 52. ASME, New York, pp 1–13

  • Strykowski PJ, Sreenivasan KR (1990) On the formation and suppression of vortex ‘shedding’ at low reynolds numbers. J Fluid Mech 218:71–107

    Article  Google Scholar 

  • Subasi A, Puckert D, Gunes H, Rist U (2015) Calibration of constant temperature anemometry with hot-film probes for low speed laminar water channel flows. In: The 13th International Symposium on Fluid Control, Measurement and Visualization. FLUCOME2015, Doha

  • Tani I, Komoda H, Komatsu Y, Iuchi M (1962) Boundary-layer transition by isolated roughness. Aeron Res Inst Univ Tokyo Rep 375:129–143

    Google Scholar 

  • Theofilis V (2011) Global linear instability. Annu Rev Fluid Mech 43:319–352

    Article  MathSciNet  MATH  Google Scholar 

  • Wiegand T (1996) Experimentelle Untersuchungen zum laminar-turbulenten Transitionsprozess eines Wellenzugs in einer Plattengrenzschicht. Ph.D thesis, Universität Stuttgart

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Acknowledgements

The financial support of the Deutsche Forschungsgemeinschaft (DFG) under Reference Number RI 680/32-1 is gratefully acknowledged for enabling this project. We would like to thank J.-C. Robinet and S. Cherubini for fruitful discussions and the unknown reviewers for their comments.

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Correspondence to Dominik K. Puckert.

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Puckert, D.K., Rist, U. Global instability in a laminar boundary layer perturbed by an isolated roughness element. Exp Fluids 59, 48 (2018). https://doi.org/10.1007/s00348-018-2510-7

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  • DOI: https://doi.org/10.1007/s00348-018-2510-7

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