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Wall-vorticity flux dynamics in a two-dimensional turbulent boundary layer

Published online by Cambridge University Press:  26 April 2006

J. Andreopoulos  and
J. H. Agui
J. Andreopoulos
Affiliation:
Experimental Fluid Mechanics and Aerodynamics Laboratory, Department of Mechanical Engineering, The City College of the City University of New York, Convent Av. and 140th Street, New York, NY 10031, USA
J. H. Agui
Affiliation:
Experimental Fluid Mechanics and Aerodynamics Laboratory, Department of Mechanical Engineering, The City College of the City University of New York, Convent Av. and 140th Street, New York, NY 10031, USA
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Abstract

Four high-frequency-response pressure transducers with 10 viscous units resolution each have been used to obtain simultaneously the fluctuating pressure gradients at the wall of a zero-pressure-gradient boundary layer and then to compute the vorticity flux away from the wall. Since the viscous force on an element of incompressible fluid is determined by the local vorticity gradients, understanding of their dynamical characteristics is essential in identifying the turbulent structure. Extremely high and low amplitudes of both vorticity gradients have been observed which contribute significantly to their statistics although they have low probability of appearance. The r.m.s. of the vorticity flux when scaled with inner wall variables depends very strongly on the Reynolds number, indicating a breakdown of this type of scaling. The application of a small threshold to the data indicated two preferential directions of the vorticity flux vector. An attempt has been made to identify these high- and low-amplitude signals with physical phenomena associated with bursting-sweep processes. Vortical structures carrying bipolar vorticity are the dominant wall structures which are associated with the violent events characterized by large fluctuations of vorticity flux.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 309 , 25 February 1996 , pp. 45 - 84
Copyright
© 1996 Cambridge University Press

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References

Alfredsson, P. H. & Johansson, A. V. 1984 Time scales in turbulent channel flow. Phys. Fluids 27, 1974.Google Scholar
Andreopoulos, J., Durst, F. & Jovanovic, J. 1984 Influence of Reynolds number on characteristics of turbulent boundary layers. Exps. Fluids 2, 7.Google Scholar
Ashurst, W. T., Kerstein, A. R., Kerr, R. M. & Gibson, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343.Google Scholar
Balint, J. L., Wallace, J. M. & Vukoslavcevic, P. 1991 Vorticity and velocity fields of a turbulent boundary layer. J. Fluid Mech. 228, 53.Google Scholar
Bradshaw, P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241.Google Scholar
Blackwelder, R. F. & Eckelman, H. 1979 Streamwise vortices associated with the bursting phenomenon. J. Fluid Mech. 94, 577.Google Scholar
Blackwelder, R. F. & Kaplan, R. E. 1976 On the bursting phenomenon near the wall in bounded turbulent shear flows. J. Fluid Mech. 76, 89.Google Scholar
Blake, W. K. 1970 Turbulent boundary-layer wall-pressure fluctuations on smooth and rough walls. J. Fluid Mech. 44, 637.Google Scholar
Bull, M. K. 1967 Wall pressure fluctuations associated with subsonic turbulent boundary layer flow. J. Fluid Mech. 28, 719.Google Scholar
Coles, D. E. 1962 The turbulent boundary layer in a compressible fluid. In Rand Rep. R403-PR., ARC 24473: Appendix A: A Manual of Experimental Boundary Layer Practice for Low Speed Flow.
Corcos, G. M. 1963 On the resolution of pressure in turbulence. J. Acoust. Soc. Am. 35, 192.Google Scholar
Devenport, W. J., Agarwal, N. K., Dewitz, M. B., Simpson, R. L. & Poddar, K. 1990 Effects of a fillet on the flow past a wing-body junction. AIAA J. 28, 2017.Google Scholar
Ersoy, S. & Walker, J. D. A. 1986 Flow induced at a wall by a vortex pair. AIAA J. 24, 1597.Google Scholar
Falco, R. E. 1983 New results. A review and synthesis of the mechanism of turbulent production in boundary layers and its modification. AIAA Paper 83-0377.
Falco, R. E. 1993 Predictions of the Reynolds number dependence of the turbulent boundary layer using a new structural model Symposium on Near Wall Turbulence (ed . R. So, C. Speziale & B. Launder). Elsevier.
Farabee, T. M. & Casarella, M. J. 1991 Spectral features of wall pressure fluctuations beneath a turbulent boundary layer. Phys. Fluids A 3, 2410.Google Scholar
Gad-El-Hak, M. & Bandyopandyay, P. R. 1994 Reynolds number effects in wall-bounded turbulent flows. Appl. Mech. Rev. 47, 307.Google Scholar
Hanratty, T. J. 1988 A conceptual model of the viscous wall region. Zoran Zaric Memorial Conference (ed . S. Kline & N. Afgan), p. 81. Hemisphere.
Haritonidis, J. H., Grescko, L. S. & Breuer, K. S. 1988 Wall pressure peaks and spectra Zoran Zaric Memorial Conference (ed . S. Kline & N. Afgan), p. 397. Hemisphere.
Hasan, M. A. Z., Casarella, M. J. & Rood, E. D. 1986 An experimental study of the wall pressure field around a wing-body junction. Trans. ASME J. Vib., Acoustics, Stress and Reliability in Design 108, 308.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary layer structure. J. Fluid Mech. 107, 297.Google Scholar
Honkan, A. 1994 An experimental study of the vortical structure of turbulent flows. PhD thesis, Dept. of Mech. Engng, City College of CUNY.
Jimenez, J. & Moin, P. 1991 The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225, 213.Google Scholar
Johansson, A. V. & Alfredsson. P. H. 1982 On the structure of turbulent channel flow. J. Fluid Mech. 122, 295.Google Scholar
Johansson, A. V., Alfredsson, P. H. & Kim, J. 1991 Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid Mech. 224, 579.Google Scholar
Johansson, A. V., Her, J.-Y. & Haritonidis, J. H. 1987 On the generation of high-amplitude wall pressure peaks in turbulent boundary layers and spots. J. Fluid Mech. 175, 119.Google Scholar
Keith, W. L., Hurdis, D. A. & Abraham, B. M. 1992 A comparison of turbulent boundary layer wall-pressure spectra. Trans. ASME J. Fluids Engng 114, 338.Google Scholar
Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flows. J. Fluid Mech. 205, 421.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133.Google Scholar
Kim, J. & Moin, P. 1986 The structure of the vorticity field in turbulent channel flow. Part 2. Study of ensemble-average fields. J. Fluid Mech. 162, 339.Google Scholar
Klewicki, J. C. & Falco, R. E. 1990 On accurately measuring statistics associated with small-scale structure in turbulent boundary layers using hot-wire probes. J. Fluid Mech. 219, 119.Google Scholar
Klewicki, J. C, Falco, R. E. & Foss, J. F. 1992 Some characteristics of the vortical motions in the outer region of turbulent boundary layers. Trans. ASME J. Fluids Engng 114, 530.Google Scholar
Kline, S. J., Reynolds, W. C, Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.Google Scholar
Lighthill, M. J. 1963 Boundary layer theory. In Laminar Boundary Layers (ed.L. Rosenhead), p. 46. Oxford University Press.
Lu, L. J. & Smith, C. R. 1988 Image processing of hydrogen bubble flow visualization for quantitative evaluation of hairpin type vortices as a flow structure of turbulent boundary layers. Rep. FM-14. Lehigh University.
Luchik, T. S. & Tiederman, W. G. 1987 Timescale and structure of injections and bursts in turbulent channel flows. J. Fluid Mech. 174, 529.Google Scholar
Lyman, F. A. 1990 Vorticity production at a solid boundary. Appl. Mech. Rev. 43, 157.Google Scholar
Mcgrath, B. E. & Simpson, R. L. 1987 Some features of pressure fluctuations in turbulent boundary layers with zero and favorable pressure gradient. NASA Rep. CR-4051.
Moin, P. & Kim, J. 1985 The structure of vorticity fields in turbulent channel flow. Part 1. Analysis of instantaneous field and statistical correlations. J. Fluid Mech. 155, 441.Google Scholar
Morrison, J. F. & Bradshaw, P. 1991 Bursts and sources of pressure fluctuation in turbulent boundary layers. Eighth Symp. on Turbulent Shear Flows, Tech. University of Munich.
Morrison, J. F., Subramanian, C. S. & Bradshaw, P. 1992 Bursts and the law of the wall in turbulent boundary layers. J. Fluid Mech. 241, 75.Google Scholar
Naguib, A. M. & Wark, C. K. 1992 An investigation of wall-layer dynamics using a combined temporal filtering and correlation technique. J. Fluid Mech. 243, 541.Google Scholar
Offen, G. R. & Kline, S. J. 1975 A proposed model of the bursting process in turbulent boundary layers. J. Fluid Mech. 70, 209.Google Scholar
Orlandi, P. & Jimenez, J. 1991 A model for bursting of near wall vortical structures in boundary layers. Eighth Symp. on Turbulent Shear Flows, Tech. University of Munich.
Panton, R. L. 1984 Incompressible Flows. Wiley Interscience.
Panton, R. L. & Gilles, R. 1992 The turbulent boundary layer pressure spectrum. Bull. Am. Phys Soc. 37, 1702.Google Scholar
Robinson, S. K. 1990 A perspective on coherent structures and conceptual models for turbulent boundary layer physics. AIAA 21st Fluid Dynamics, Plasmadynamics and Lasers Conf, Seattle WA, Paper 90-1638.
Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601.Google Scholar
Schewe, G. 1983 On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary layer flow. J. Fluid Mech. 134, 311.Google Scholar
Shah, D. A. & Antonia, R. A. 1989 Scaling of the bursting period in turbulent boundary layer and duct flows. Phys. Fluids A 1, 318.Google Scholar
Spalart, P. R. 1988 Direct numerical simulation of a turbulent boundary layer up to Re= 1410. J. Fluid Mech. 187, 61.Google Scholar
Theodorsen, T. 1952 Mechanism of turbulence. In Proc. 2nd Midwestern Conf. on Fluid Mechanics, Ohio State University, p. 1.
Thomas, A. S. W. & Bull, M. K. 1983 On the role of wall-pressure fluctuations in deterministic motions in the turbulent boundary layer. J. Fluid Mech. 128, 283.Google Scholar
Tiederman, W. G. 1988 Eulerian detection of turbulent bursts Zoran Zaric Memorial Conference (ed . S. Kline & N. Afgan), p. 874. Hemisphere.
Uberoi, M. A. & Kovasznay, L. S. G. 1953 On the mapping of random signals. Q. Appl. Maths 10, 375.Google Scholar
Willmarth, W. W. 1975 Pressure fluctuations beneath turbulent boundary layers. Ann. Rev. Fluid Mech. 7, 13.Google Scholar
Willmarth, W. W. & Roos, F. W. 1965 Resolution and structure of the wall pressure field beneath a turbulent boundary layer. J. Fluid Mech. 22, 81.Google Scholar
Willmarth, W. W. & Sharma, L. K. 1984 Study of turbulent structure with hot wires smaller than the viscous length. J. Fluid Mech. 142, 121.Google Scholar
Willmarth, W. W. & Wooldridge, C. E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer. J. Fluid Mech. 14, 187.Google Scholar