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ADDITIONAL TECHNICAL PAPERS

Structure Inclination Angle in a Turbulent Adverse Pressure Gradient Boundary Layer

[+] Author and Article Information
Per-Åge Krogstad

Department of Mechanics, Thermo and Fluid Dynamics, The Norwegian University of Technology and Science, N-7491 Trondheim, Norwaye-mail: Per.A.Krogstad@mtf.ntnu.no

Jon Harald Kaspersen

Ultrasound Division, Sintef Unimed, N-7465 Trondheim, Norwaye-mail: Jon.H.Kaspersen@unimed.sintef.no

J. Fluids Eng 124(4), 1025-1033 (Dec 04, 2002) (9 pages) doi:10.1115/1.1511161 History: Received May 30, 2000; Revised January 31, 2002; Online December 04, 2002
Copyright © 2002 by ASME
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References

Bradshaw,  P., 1967, “The Turbulent Structure of Equilibrium Turbulent Boundary Layers,” J. Fluid Mech., 29, pp. 625–645.
Spalart,  P. R., and Watmuff,  J. H., 1993, “Experimental and Numerical Study of a Turbulent Boundary Layer With Pressure Gradients,” J. Fluid Mech., 249, pp. 337–371.
Skåre,  P. E., and Krogstad,  P.-Å., 1994, “A Turbulent Boundary Layer Near Separation,” J. Fluid Mech., 272, pp. 319–348.
Krogstad,  P.-Å., and Skåre,  P. E., 1995, “Influence of a Strong Pressure Gradient on the Turbulent Structure in a Boundary Layer,” Phys. Fluids, 7(8), pp. 2014–2024.
Antonia, R. A., Browne, L. W. B., and Bisset, D. K., 1990, “Effect of Reynolds Number on the Organized Motion in a Turbulent Boundary Layer,” Near-Wall Turbulence, S. J. Kline and N. H. Afgan, eds., Hemisphere, Washington, DC, pp. 488–506.
Krogstad,  P.-Å., Kaspersen,  J. H., and Rimestad,  S., 1998, “Convection Velocities in a Turbulent Boundary Layer,” Phys. Fluids, 10(4), pp. 949–957.
Spina,  E. F., and Smits,  A. J., 1987, “Organized Structures in a Compressible, Turbulent Boundary Layer,” J. Fluid Mech., 182, pp. 85–109.
Head,  M. R., and Bandyopadhyay,  P., 1981, “New Aspects of Turbulent Boundary-Layer Structure,” J. Fluid Mech., 107, pp. 297–338.
Champagne,  F. H., Harris,  V. G., and Corrsin,  S., 1970, “Experiments on Nearly Homogeneous Turbulent Shear Flow,” J. Fluid Mech., 41, pp. 81–139.
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Perry,  A. E., and Marusic,  I., 1995, “A Wall-Wake Model for the Turbulence Structure of Boundary Layers. Part 1. Extension of the Attached Eddy Hypothesis,” J. Fluid Mech., 298, pp. 361–388.
Daubechies, I., 1992, Ten Lectures on Wavelets, SIAM, USA.
Bisset,  D. K., Antonia,  R. A., and Raupach,  M. R., 1991, “Topology and Transport Properties of Large-Scale Organized Motion in a Slightly Heated Rough Wall Boundary Layer,” Phys. Fluids A, 3(9), pp. 2220–2228.
Brown,  G. L., and Thomas,  S. W., 1977, “Large Structure in a Turbulent Boundary Layer,” Phys. Fluids, 20(10), pp. S243–S252.

Figures

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Velocity defect data for the zero (○) and adverse (•) pressure gradient boundary layers
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Shear stresses. Symbols as in Fig. 1.
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Two-point velocity correlations, ρuu, in the (x,y)-plane. Contour levels: 0.1, 0.2, 0.3, 0.5, and 0.8. (a) Adverse pressure gradient, (b) Zero pressure gradient. Dashed lines: 45 deg inclination; Solid line: inclinations of the most energetic structures.
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Distributions of the largest principal stresses. Symbols as in Fig. 1.
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Ratio between the first and second principal stresses. Symbols as in Fig. 1.
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Directions for the largest principal stresses. Symbols as in Fig. 1.
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Spectra for the zero pressure gradient layer at y/δ=0.10. Wavelet spectrum: —•—; Fourier spectrum: —○—.
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Two-point velocity correlations, ρuu, in the (x,y)-plane as function of wavelet scale. Contour levels: −0.7 to 0.9 with 0.2 increments. Left: APG, Right: ZPG.
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Mexican hat (solid line) and Haar (dotted line) wavelets.
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Comparison between correlations obtained using the Mexican hat (solid line) and Haar (dotted line) wavelets. ΔX*≈4.8.
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Correlation inclination angle as function of wavelet scale, ΔX*. Reference probe at Y0*≈0.1. Adverse pressure gradient: filled symbols, Zero pressure gradient: open symbols. ○: Uc taken as the mean velocity of the reference probe. □: Uc taken as the average mean velocity over the ρuu=0.3 contour.
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Two-point velocity correlations, ρvv, in the (x,y)-plane as function of wavelet scale. Contour levels: −0.7 to 0.9 with 0.2 increments. Left: APG, Right: ZPG.

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