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Direct numerical simulations of riblets to constrain the growth of turbulent spots

Published online by Cambridge University Press:  26 January 2011

JAMES S. STRAND  and
DAVID B. GOLDSTEIN
JAMES S. STRAND*
Affiliation:
Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712, USA
DAVID B. GOLDSTEIN
Affiliation:
Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX 78712, USA
*
†Email address for correspondence: [email protected]
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Abstract

A spectral direct numerical simulation (DNS) code was used to study the growth and spreading of turbulent spots in a nominally laminar, zero-pressure-gradient boundary layer. In addition to the flat-plate case, the interaction of these spots with riblets was investigated. The flat plate, riblets and initial spot perturbation were simulated via an immersed boundary method, and a ‘suction wall’ allowed the available channel code to model a boundary layer. In both flat-wall and riblet cases, self-similar arrowhead-shaped spots formed. The λ2 variable of Jeong & Hussain (1995) was used to visualize the vortical structures within a spot, and a spot was seen to consist primarily of a multitude of entwined hairpin vortices. The range of scales of the hairpin vortices was found to increase as the spot matures. Ensemble averaging was used to obtain more accurate results for the spot spreading angle, both for the flat-wall case and the riblet case. The spreading angle for the flat-wall spot was 6.3°, in reasonably good agreement with prior DNS work. The spreading angle for the spot over riblets was 5.4°, a decrease of 14% compared with the flat-wall.

JFM classification

Flow Control: Drag reduction Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 668 , 10 February 2011 , pp. 267 - 292
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Amini, J. & Lespinard, G. 1982 Experimental study of an ‘insipient spot’ in a transitional boundary layer. Phys. Fluids 25 (10), 1743–1750.CrossRefGoogle Scholar
Breuer, K. S. & Landahl, M. T. 1990 The evolution of a localized disturbance in a laminar boundary layer. Part 2. Strong disturbances. J. Fluid Mech. 220, 595–621.CrossRefGoogle Scholar
Bruse, M., Bechert, D. W., Th. van der Hoeven, J. G., Hage, W. & Hoppe, G. 1993 Experiments with conventional and with novel adjustable drag-reducing surfaces. In Near-wall Turbulent Flows: Proceedings of the International Conference, pp. 719–738. Tempe, AZ.Google Scholar
Cantwell, B., Coles, D. & Dimotakis, P. 1978 Structure and entrainment in the plane of symmetry of a turbulent spot. J. Fluid Mech. 87, 641–672.CrossRefGoogle Scholar
Chu, J., Strand, J. & Goldstein, D. 2010 Investigation of turbulent spot spreading mechanism. In 48th AIAA Aerospace Sciences Meeting, Orlando, Florida. AIAA Paper 2010–0716.Google Scholar
Colmenero, G. E. 2004 Turbulent boundary layer control with discrete actuators using wall information. Master's thesis, Aerospace Engineering Department, The University of Texas at Austin.CrossRefGoogle Scholar
Coustols, E. & Savill, A. M. 1992 Turbulent skin-friction drag reduction by active and passive means. Parts 1 and 2. Special course on skin-friction drag reduction. AGARD Rep. 768, pp 1–8 to 8–55.Google Scholar
Elder, J. W. 1960 An experimental investigation of turbulent spots and breakdown to turbulence. J. Fluid Mech. 9, 235–246.CrossRefGoogle Scholar
Emmons, H. W. 1951 The laminar–turbulent transition in a boundary layer. Part I. J. Aeronaut. Sci. 18 (7), 490–498.CrossRefGoogle Scholar
Goldstein, D. B., Cohen, J. & Levinski, V. 2001 DNS of hairpin vortex formation in Poiseuille flow due to two-hole suction. In The Third AFOSR International Conference on DNS and LES, Arlington, TX.Google Scholar
Goldstein, D. B., Handler, R. & Sirovich, L. 1993 Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 105, 354–366.CrossRefGoogle Scholar
Goldstein, D. B., Handler, R. & Sirovich, L. 1995 Direct numerical simulation of turbulent flow over a modeled riblet covered surface. J. Fluid Mech. 302 (10), 333–376.CrossRefGoogle Scholar
Goldstein, D. B. & Tuan, T.-C. 1998 Secondary flow induced by riblets. J. Fluid Mech. 363, 115–151.CrossRefGoogle Scholar
Handler, R. A., Hendricks, E. W. & Leighton, R. I. 1989 Low Reynolds number calculation of turbulent channel flow: a general discussion. NRL Mem. Rep. 6410, pp. 1–103.Google Scholar
Henningson, D., Spalart, P. & Kim, J. 1987 Numerical simulations of turbulent spots in plane Poiseuille and boundary layer flow. Phys. Fluids 30 (10), 2914–2917.CrossRefGoogle Scholar
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 69–94.CrossRefGoogle Scholar
Jocksch, A. & Kleiser, L. 2008 Growth of turbulent spots in high-speed boundary layers on a flat plate. Intl J. Heat Fluid Flow 29, 1543–1557.CrossRefGoogle Scholar
Katz, Y., Seifert, A. & Wygnanski, I. J. 1995 On turbulent spots in a laminar boundary layer subjected to a self-similar adverse pressure gradient. J. Fluid Mech. 296, 185–209.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.CrossRefGoogle Scholar
Krishnan, L. & Sandham, N. D. 2007 Strong interaction of a turbulent spot with a shock-induced separation bubble. Phys. Fluids 19, 016102.CrossRefGoogle Scholar
Narasimha, R. 1985 The laminar–turbulent transition zone in the boundary layer. Prog. Aerosp. Sci. 22 (1), 29–80.CrossRefGoogle Scholar
Perry, A. E., Lim, T. T. & Teh, E. W. 1981 A visual study of turbulent spots. J. Fluid Mech. 104, 387–405.CrossRefGoogle Scholar
Schubauer, G. B. & Klebanoff, P. S. 1955 Contributions on the mechanics of boundary-layer transition. NACA TN-3489.Google Scholar
Schubauer, G. B. & Klebanoff, P. S. 1956 Contributions on the mechanics of boundary-layer transition. NACA TR-1289.Google Scholar
Singer, B. 1996 Characteristics of a young turbulent spot. Phys. Fluids 8 (2), 509–521.CrossRefGoogle Scholar
Singer, B. & Joslin, R. 1994 Metamorphosis of a hairpin vortex into a young turbulent spot. Phys. Fluids 6 (11), 3724–3736.CrossRefGoogle Scholar
Strand, J. 2007 DNS of surface textures to control the growth of turbulent spots. Master's thesis, The University of Texas at Austin.CrossRefGoogle Scholar
Strand, J. & Goldstein, D. 2007 DNS of riblets to control the growth of turbulent spots. In 45th AIAA Aerospace Sciences Meeting, Reno, NV. AIAA Paper 2007–1312.Google Scholar
Strand, J. & Goldstein, D. 2010 DNS of surface textures to control the growth of turbulent spots. In 48th AIAA Aerospace Sciences Meeting, Orlando, FL. AIAA Paper 2010–0915.Google Scholar
Van Dyke, M. 1982 An Album of Fluid Motion. The Parabolic Press.CrossRefGoogle Scholar
White, F. M. 1991 Viscous Fluid Flow, chap. 4, 2nd edn. McGraw Hill.Google Scholar
Wu, X. & Moin, P. 2008 Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer. J. Fluid Mech. 630, 5–41.CrossRefGoogle Scholar
Wygnanski, I. J., Sokolov, M. & Friedman, D. 1976 On a turbulent ‘spot’ in a laminar boundary layer. J. Fluid Mech. 78, 785–819.CrossRefGoogle Scholar
Wygnanski, J., Zilberman, M. & Haritonidis, J. H. 1982 On the spreading of a turbulent spot in the absence of a pressure gradient. J. Fluid Mech. 123, 69–90.CrossRefGoogle Scholar