Abstract
Adequate high-quality data on three-dimensional velocities in the atmospheric surface layer (height \(\delta \)) were acquired in the field at the Qingtu Lake Observation Array. The measurement range occupies nearly the entire logarithmic layer from approximately \(0.006\delta \)–\(0.2\delta \). The turbulence intensity and eddy structures of the velocity fluctuations in the logarithmic region were primarily analyzed, and their variations in the z (wall-normal) direction were revealed. The primary finding was that the turbulent intensity of wall-normal velocity fluctuations exhibits a sharp upswing in the logarithmic region, which differs from classic scaling law and laboratory results. The upswing of the wall-normal turbulence intensity in the logarithmic region is deemed to be linear based on an ensemble of 20 sets of data. In addition, the wall-normal extent of the correlated structures and wall-normal spectra were compared to low Reynolds number results in the laboratory.
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References
Adrian RJ, Meinhart CD, Tomkins CD (2000) Vortex organization in the outer region of the turbulent boundary layer. J Fluid Mech 422:1–54
Baidya R, Philip J, Monty JP, Hutchins N, Marusic I (2014) Comparisons of turbulence stresses from experiments against the attached eddy hypothesis in boundary layers. In: Proceedings of 19th Australasian fluid mechanics conference, 8–11 December 2014, Melbourne, Australia
Baidya R, Philip J, Hutchins N, Monty JP, Marusic I (2017) Distance-from-the-wall scaling of turbulent motions in wall-bounded flows. Phys Fluids 29(2):020712
Clauser FH (1956) The turbulent boundary layer. Adv Appl Mech 4(3):1–51
DeGraaff DB, Eaton JK (2000) Reynolds number scaling of the flat-plate turbulent boundary layer. J Fluid Mech 422:319–346
delÁlamo JC, Jiménez J, Zandonade P, Moser RD (2004) Scaling of the energy spectra of turbulent channels. J Fluid Mech 500:135–144
Favre AJ, Gaviglio JJ, Dumas R (1957) Space–time double correlations and spectra in a turbulent boundary layer. J Fluid Mech 2:313–342
Ganapathisubramani B, Longmire EK, Marusic I (2003) Characteristics of vortex packets in turbulent boundary layers. J Fluid Mech 478:35–46
Guala M, Metzger M, McKeon BJ (2011) Interactions within the turbulent boundary layer at high Reynolds number. J Fluid Mech 666:573–604
Head MR, Bandyopadhyay PR (1981) New aspects of turbulent structure. J Fluid Mech 107:297–338
Högström U, Hunt JCR, Smedman AS (2002) Theory and measurements for turbulence spectra and variances in the atmospheric neutral surface layer. Boundary-Layer Meteorol 103(1):101–124
Hultmark M, Vallikivi M, Bailey SCC, Smits AJ (2012) Turbulent pipe flow at extreme Reynolds numbers. Phys Rev Lett 108:324–329
Hunt JCR, Carlotti P (2001) Statistical structure at the wall of the high Reynolds number turbulent boundary layer. Flow Turbul Combust 66:453–475
Hunt JCR, Morrison JF (2001) Eddy structure in turbulent boundary layers. Eur J Mech B Fluids 19:673–694
Hunt JCR, Moin P, Lee M, Moser RD, Spalart P, Mansour NN, Kaimal JC, Gaynor E (1989) Cross correlation and length scales in turbulent flows near surfaces. In: Advances in turbulence 2 (2nd European turbulence conference, Berlin, August 1988). Springer, Berlin, pp 128–134
Hutchins N, Marusic I (2007) Large-scale influences in near-wall turbulence. Philos Trans R Soc Lond A 365:647–664
Hutchins N, Chauhan K, Marusic I, Monty J, Klewicki J (2012) Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory. Boundary-Layer Meteorol 145:273–306
Jiménez J, Hoyas S (2008) Turbulent fluctuations above the buffer layer of wall-bounded flows. J Fluid Mech 611:215–236
Kaimal JC, Wyngaard J, Izumi Y, Coté OR (1972) Spectral characteristics of surface-layer turbulence. Q J R Meteorol Soc 98(417):563–589
Klewicki JC, Priyadarshana PJA, Metzger MM (2008) Statistical structure of the fluctuating wall pressure and its in-plane gradients at high Reynolds number. J Fluid Mech 609:195–220
Kovasznay LSG, Kibens V, Blackwelder RF (1970) Large-scale motion in the intermittent region of a turbulent boundary layer. J Fluid Mech 41:283–326
Kunkel GJ, Marusic I (2006) Study of the near-wall-turbulent region of the high-Reynolds-number boundary layer using an atmospheric flow. J Fluid Mech 548:375–402
Liu HY, Bo TL, Liang YR (2017) The variation of large-scale structure inclination angles in high Reynolds number atmospheric surface layers. Phys Fluids 29(3):035104
Marusic I (2001) On the role of large-scale structures in wall turbulence. Phys Fluids 13:735–743
Marusic I, Heuer WD (2007) Reynolds number invariance of the structure inclination angle in wall turbulence. Phys Rev Lett 99(11):114504
Marusic I, Hutchins N (2008) Study of the log-layer structure in wall turbulence over a very large range of Reynolds number. Flow Turbul Combust 81:115–130
Marusic I, Kunkel GJ (2003) Streamwise turbulent intensity formulation for flat-plate boundary layer. Phys Fluids 15:2461–2464
Marusic I, Uddin AKM, Perry AE (1997) Similarity law for the streamwise turbulence intensity in zeropressure-gradient turbulent boundary-layers. Phys Fluids 9:3718–3726
Marusic I, Mckeon BJ, Monkewitz PA, Nagib HM, Smits AJ, Sreenivasan KR (2010a) Wall-bounded turbulent flows at high Reynolds numbers: recent advances and key issues. Phys Fluids 22:065103
Marusic I, Hutchins N, Mathis R (2010b) High Reynolds number effects in wall-turbulence. J Heat Fluid Flow 31:418–428
Marusic I, Monty JP, Hultmark M, Smits AJ (2013) On the logarithmic region in wall turbulence. J Fluid Mech 716:R3
McKeon BJ, Li J, Jiang W, Morrison JF, Smits AJ (2004) Further observations on the mean velocity in fully-developed pipe flow. J Fluid Mech 501:135–147
Metzger MM (2002) Scalar dispersion in high Reynolds number turbulent boundary layers. PhD thesis, The University of Utah
Metzger MM, Klewicki JC (2001) A comparative study of near-wall turbulence in high and low Reynolds number boundary layers. Phys Fluids 13:692–701
Metzger MM, Mckeon BJ, Holmes H (2007) The near-neutral atmospheric surface layer: turbulence and non-stationarity. Philos Trans R Soc A 365:859–876
Morrill-Winter C, Klewicki J, Baidya R, Marusic I (2015) Temporally optimized spanwise vorticity sensor measurements in turbulent boundary layers. Exp Fluids 56(12):216
Morris SC, Stolpa SR, Slaboch PE, Klewicki JC (2007) Near surface particle image velocimetry measurements in a transitionally rough-wall atmospheric surface layer. J Fluid Mech 580:319–338
Morrison JF, McKeon BJ, Jiang W, Smits AJ (2004) Scaling of the streamwise velocity component in turbulent pipe flow. J Fluid Mech 508:99–131
Nickels TB, Marusic I, Hafez S, Hutchins N, Chong MS (2007) Some predictions of the attached eddy model for a high Reynolds number boundary layer. Philos Trans R Soc A 365:807–822
Örlü R, Fiorini T, Segalini A, Bellani G, Talamelli A, Alfredsson PH (2017) Reynolds stress scaling in pipe flow turbulence—first results from CICLoPE. Philos Trans R Soc A 375(2089):20160187
Panofsky HA, Tennekes H, Lenschow DH, Wyngaard JC (1977) The characteristics of turbulent velocity components in the surface layer under convective conditions. Boundary-Layer Meteorol 11(3):355–361
Perry AE, Chong MS (1982) On the mechanism of wall turbulence. J Fluid Mech 119:173–217
Perry AE, Li JD (1990) Experimental support for the attached eddy hypothesis in zero-pressure-gradient turbulent boundary layers. J Fluid Mech 218:405–438
Perry AE, Marusic I (1995) 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
Smits AJ, McKeon BJ, Marusic I (2011) High Reynolds number wall turbulence. Annu Rev Fluid Mech 43:353–375
Spalart PR (1988) Direct simulation of a turbulent boundary layer up to $R_{\theta }= 1410$. J Fluid Mech 187:61–98
Townsend AA (1976) The structure of turbulent shear flow. Cambridge University Press, Cambridge
Tutkun M, George WK, Delville J, Stanislas M, Johansson PBV, Foucaut JM, Coudert S (2009) Two-point correlations in high Reynolds number flat plate turbulent boundary layers. J Turbul 10(21):1–22
Wang GH, Zheng XJ (2016) Very large scale motions in the atmospheric surface layer: a field investigation. J Fluid Mech 802:464–489
Weber RO (1999) Remarks on the definition and estimation of friction velocity. Boundary-Layer Meteorol 93:197–209
Wyngaard JC (1992) Atmospheric turbulence. Annu Rev Fluid Mech 24:205–233
Zagarola MV, Smits AJ (1998) Mean-flow scaling of turbulent pipe flow. J Fluid Mech 373:33–79
Zhao R, Smits AJ (2007) Scaling of the wall-normal turbulence component in high-Reynolds-number pipe flow. J Fluid Mech 576:457–473
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Funding was provided by National Natural Science Foundation of China (Grant Nos. 11490551, 11232006, 11421062), Fundamental Research Funds for the Central Universities (Grant No. lzujbky-2016-k13).
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Yang, H., Bo, T. Scaling of Wall-Normal Turbulence Intensity and Vertical Eddy Structures in the Atmospheric Surface Layer. Boundary-Layer Meteorol 166, 199–216 (2018). https://doi.org/10.1007/s10546-017-0306-6
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DOI: https://doi.org/10.1007/s10546-017-0306-6