zbMATH — the first resource for mathematics

Study of the log-layer structure in wall turbulence over a very large range of Reynolds number. (English) Zbl 1391.76178
Summary: Studies of the logarithmic layer structure in turbulent boundary layers are presented that span three orders of magnitude change in Reynolds number. The experiments considered used two separate laboratory scale facilities, as well as the atmospheric surface layer at the SLTEST facility in Utah. Several experimental techniques were used in order to probe the three-dimensional nature of the flow structures. The main focus is on two-point correlation statistics at a given \(z/\delta\), which are found to agree well over all Reynolds numbers when scaled with an outer length-scale. Large-scale coherence recently noted in the logarithmic region of laboratory-scale boundary layers is also found to be present in the atmospheric surface layer flow. Recent findings regarding the influence of these large scale motions on the near-wall region are also presented.

76F40 Turbulent boundary layers
86A10 Meteorology and atmospheric physics
Full Text: DOI
[1] Kim, K.C., Adrian, R.J.: Very large-scale motion in the outer layer. Phys. Fluids 11(2), 417–422 (1999) · Zbl 1147.76430
[2] Hutchins, N., Marusic, I.: Evidence of very long meandering streamwise structures in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28 (2007) · Zbl 1113.76004
[3] del Álamo, J.C., Jiménez, J., Zandonade, P., Moser, R.D.: Scaling of the energy spectra of turbulent channels. J. Fluid Mech. 500, 135–144 (2004) · Zbl 1059.76031
[4] Hoyas, S., Jiménez, J.: Scaling of the velocity fluctuations in turbulent channels up to Re {\(\tau\)} = 2003. Phys. Fluids 18, 011702 (2006)
[5] Guala, M., Hommema, S.E., Adrian, R.J.: Large-scale and very-large-scale motions in turbulent pipe flow. J. Fluid Mech. 554, 521–542 (2006) · Zbl 1156.76316
[6] Ganapathisubramani, B., Longmire, E.K., Marusic, I.: Characteristics of vortex packets in turbulent boundary layers. J. Fluid Mech. 478, 35–46 (2003) · Zbl 1032.76500
[7] Kim, K.C., Adrian, R.: Very large-scale motion in the outer layer. Phys. Fluids 11, 417–422 (1999) · Zbl 1147.76430
[8] Jiménez, J.: The largest scales of turbulent wall flows. In: CTR Annual Research Briefs, Progress in Astronautics and Aeronautics, pp. 943–945. Stanford University (1998)
[9] del Álamo, J.C., Jiménez, J.: Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15, 41–44 (2003) · Zbl 1186.76136
[10] Hutchins, N., Marusic, I.: Large-scale influences in near-wall turbulence. Proc. R. Soc. Lond. A 365, 647–664 (2007) · Zbl 1152.76421
[11] Hambleton, W.T., Hutchins, N., Marusic, I.: Multiple plane PIV measurements in a turbulent boundary layer. J. Fluid Mech. 560, 53–64 (2006) · Zbl 1122.76305
[12] Nickels, T.B., Marusic, I., Hafez, S., Hutchins, N., Chong, M.S.: Some predictions of the attached eddy model for a high Reynolds number boundary layer. Proc. R. Soc. Lond. A 365, 807–822 (2007) · Zbl 1152.76414
[13] Kunkel, G.J., Marusic, I.: Study of the near-wall-turbulent region of the high-Reynolds-number boundary layer using an atmospheric flow. J. Fluid Mech. 548, 375–402 (2006)
[14] Nickels, T.B., Marusic, I., Hafez, S.M., Chong, M.S.: Evidence of the k law in a high-Reynolds-number turbulent boundary layer. Phys. Rev. Lett. 95, 074501 (2005) · Zbl 1152.76414
[15] Klewicki, J.C., Metzger, M.M., Kelner, E., Thurlow, E.M.: Viscous sublayer flow visualizations at R {\(\theta\)} 1500000. Phys. Fluids 7 (1995)
[16] Metzger, M.M., Klewicki, J.C.: A comparative study of near-wall turbulence in high and low Reynolds number boundary layers. Phys. Fluids 13 (2001) · Zbl 1184.76364
[17] Marusic, I., Kunkel, G.J.: Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15, 2461–2464 (2003) · Zbl 1186.76353
[18] Tomkins, C.D., Adrian, R.J.: Spanwise structure and scale growth in turbulent boundary layers. J. Fluid Mech. 490, 37–74 (2003) · Zbl 1063.76514
[19] Adrian, R.J., Moin, P.: Stochastic estimation of organized turbulent structure: homogeneous shear flow. J. Fluid Mech. 190, 531–559 (1988) · Zbl 0642.76070
[20] del Álamo, J.C., Jiménez, J., Zandonade, P., Moser, R.D.: Self-similar vortex clusters in the turbulent logarithmic region. J. Fluid Mech. 561, 329–358 (2006) · Zbl 1157.76346
[21] Adrian, R.J., Meinhart, C.D., Tomkins, C.D.: Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54 (2000) · Zbl 0959.76503
[22] Marusic, I.: On the role of large-scale structures in wall turbulence. Phys. Fluids 13(3), 735–743 (2001) · Zbl 1184.76351
[23] Balakumar, B.J., Adrian, R.J.: Large- and very-large scale motions in channel and boundary-layer flows. Proc. R. Soc. Lond. A 365, 665–681 (2007) · Zbl 1152.76369
[24] Christensen, K.T., Adrian, R.J.: Statistical evidence of hairpin vortex packets in wall turbulence. J. Fluid Mech. 431, 433–443 (2001) · Zbl 1008.76029
[25] Tanahashi, M., Kang, S.-J., Miyamoto, T., Shiokawa, S., Miyauchi, T.: Scaling law of fine scale eddies in turbulent channel flows up to Re {\(\tau\)} = 800. Int. J. Heat Fluid Fl. 25, 331–340 (2004)
[26] Kasagi, N., Fukagata, K., Suzuki, Y.: Adaptive control of wall-turbulence for skin friction drag reduction and some consideration for high Reynolds number flows. In: 2nd International Symposium on Seawater Drag Reduction, pp. 17–31. Busan (2005)
[27] Hutchins, N., Hambleton, W.T., Marusic, I.: Inclined cross-stream stereo PIV measurements in turbulent boundary layers. J. Fluid Mech. 541, 21–54 (2005) · Zbl 1119.76304
[28] Marusic, I., Hutchins, N.: Experimental study of wall turbulence: implications for control. In: Gad-el-Hak, M. (ed.) Transition and Turbulence Control (2005) · Zbl 1180.76004
[29] del Álamo, J.C., Jiménez, J.: Linear energy amplification in turbulent channels. J. Fluid Mech. 559, 205–213 (2006) · Zbl 1095.76021
[30] Townsend, A.A.: The Structure of Turbulent Shear Flow. Cambridge University Press (1956) · Zbl 0070.43002
[31] Perry, A.E., Chong, M.S.: On the mechanism of wall turbulence. J. Fluid Mech. 119, 173–217 (1982) · Zbl 0517.76057
[32] Perry, A.E., Marusic, I.: A wall wake model for the turbulent structure of boundary layers. Part 1. Extension of the attached eddy hypothesis. J. Fluid Mech. 298, 361–388 (1995) · Zbl 0849.76030
[33] Bandyopadhyay, P.R., Hussain, A.K.M.F.: The coupling between scales in shear flows. Phys. Fluids 27(9), 2221–2228 (1984)
[34] Rao, K.N., Narasimha, R., Badri Narayanan, M.A.: The ’bursting’ phenomena in a turbulent boundary layer. J. Fluid Mech. 48, 339–352 (1971)
[35] Adrian, R.J., Christensen, K.T., Lui, Z.-C.: Analysis and interpretation of instantaneous turbulent velocity fields. Exp. Fluids 29, 275–290 (2000)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.