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Flow visualization of superbursts and of the log-layer in a DNS at \(Re_{\tau} = 950\). (English) Zbl 1201.76092
Summary: This paper uses direct numerical simulations (DNS) of turbulent flow in a channel at \(Re_{\tau} = 950\) [J. C. del Álamo, J. Jiménez, P. Zandonade and R. D. Moser, J. Fluid Mech. 500, 135-144 (2004; Zbl 1059.76031)] to provide a picture of the turbulent structures making large contributions to the Reynolds shear stress. Considerable work of this type has been done for the viscous wall region at smaller \(Re _{\tau }\), for which a log-layer does not exist. Recent PIV measurements of turbulent velocity fluctuations in a plane parallel to the direction of flow have emphasized the dominant contribution of large scale structures in the outer flow. This prompted T. J. Hanratty and D. V. Papavassiliou [In Panton, R.L. (ed), Self-sustaining Mechanism of Wall Turbulence. Computational Mechanics Publications, Southampton, 83–108 (1997)] to use DNS at \(Re_{\tau } = 150,300\) to examine these structures in a plane perpendicular to the direction of flow. They identified plumes which extend from the wall to the center of a channel. The data at \(Re_{\tau } = 950\) are used to explore these results further, to examine the structure of the log-layer, and to test present notions about the viscous wall layer.

MSC:
76F65 Direct numerical and large eddy simulation of turbulence
76M27 Visualization algorithms applied to problems in fluid mechanics
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[1] Adrian, R.J., Meinhart, C.D., Tomkins, C.D.: Vortex origination in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54 (2000) · Zbl 0959.76503 · doi:10.1017/S0022112000001580
[2] 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). http://torroja.dmt.upm.es/ftp/channels/data · Zbl 1059.76031 · doi:10.1017/S002211200300733X
[3] 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 · doi:10.1017/S0022112006000814
[4] Antonia, R.A., Kim, J.: Low Reynolds number effects on near-wall turbulence. J. Fluid Mech. 276, 61–80 (1994) · doi:10.1017/S0022112094002466
[5] Balasubramanian, B.J.: Nature of turbulence in wall-bounded flows. Ph.D. thesis (University of Illinois, Urbana, 2005)
[6] Bernard, P.S., Thomas, J.M., Handler, R.A.: Vortex dimensions and the production of Reynolds stress. J. Fluid Mech. 253, 385–419 (1993) · Zbl 0800.76185 · doi:10.1017/S0022112093001843
[7] Bernard, P.S., Wallace, J.M.: Turbulent Flow. Wiley, Hoboken, New Jersey (2002)
[8] Brooke, J.W., Hanratty, T.J.: Origin of turbulence-producing eddies in a channel flow. Phys. Fluids A 5, 1011–1022 (1993) · Zbl 0800.76195 · doi:10.1063/1.858666
[9] Bullock, K.J., Cooper, R.E., Abernathy, F.H.: Structural similarity in radial correlations and spectra of longitudinal velocity fluctuations in pipe flow. J. Fluid Mech. 88, 585–608 (1978) · doi:10.1017/S0022112078002293
[10] Chapman, D.R., Kuhn, G.D.: Two-component Navier Stokes computational model of viscous sublayer turbulence. AIAA Pap. 81–1024 (1981)
[11] Finnicum, D.S., Hanratty, T.J.: Effect of favorable pressure gradients on turbulent boundary layers. AIChE J. 34, 529–540 (1988) · doi:10.1002/aic.690340402
[12] Ganapathisubrfamani, B., Longmire, E.K., Marusic, I.: Characteristics of vortex packets in turbulent boundary-layers. J. Fluid Mech. 478, 35–46 (2003) · Zbl 1032.76500
[13] Guezennec, Y.G., Piomelli, U., Kim, J.: Conditionally-averaged structures in wall-bounded turbulent flows. In: Studying turbulence using numerical simulation databases. Proc. of the 1987 summer program. Center for Turbulence Research, NASA Ames Research Center, CTR-S87, pp. 263–272 (1987)
[14] Hanratty, T.J.: A conceptual model of the viscous wall region. In: Kline, S.J., Afgan, N.H. (eds.)Near-Wall Turbulence. (Hemisphere, 1988), pp. 81–103
[15] Hanratty, T.J., Papavassiliou, D.V.: The role of wall vortices in producing turbulence. In: Panton, R.L. (ed.) Self-sustaining Mechanism of Wall Turbulence. Computational Mechanics Publications, pp. 83–108 (1997)
[16] Heist, D.K., Hanratty, T.J., Na, Y.: Observation of streamwise vortices by rotation of arch vortices. Phys. Fluids A 12, 2965–2975 (2000) · Zbl 1184.76215 · doi:10.1063/1.1311969
[17] Hoyas, S., Jiménez, J.: Scaling of the velocity fluctuations in turbulent channels up to \( \operatorname{Re} _{\tau } = 2003 \) . Phys. Fluids 18, 011702 (2006) · doi:10.1063/1.2162185
[18] Hutchins, N., Ganapathsubramani, B., Marusic, I.: Spanwise periodicity and the existence of very large scale coherence in turbulent boundary layers. In: Proc. Fourth International Symposium on Turbulence and Shear Flow Phenomena, vol. 1. Williamsburg, 27–29 June 2005, pp. 39–44
[19] Iwamoto, K., Fukagata, K., Kasagi, N., Suzuki, Y.: DNS of turbulent channel flow at \( \operatorname{Re} _{\tau } = 1160 \) and evaluation of feedback control at practical Reynolds numbers. In: Proc. Fifth Symp. Smart Control of Turbulence. Tokyo, 29 February–2 March 2004, pp. 119–125
[20] Iwamoto, K., Kasagi, N., Suzuki, Y.: Direct numerical simulation of turbulent channel flow at \( \operatorname{Re} _{\tau } = 2320 \) . In: Proc. Sixth Symp. Smart Control of Turbulence, Tokyo, 6–9 March 2005
[21] Kasagi, N., Tomita, Y., Kuroda, A.: Direct numerical simulation of passive scalar field in a turbulent channel flow. Trans. ASME J: J. Heat Transfer 114, 598–606 (1992) · doi:10.1115/1.2911323
[22] Kim, J., Moin, P., Moser, R.D.: Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166 (1987) · Zbl 0616.76071 · doi:10.1017/S0022112087000892
[23] Kim, K.C., Adrian, R.: Very large scale motions in the outer-layer. Phys. Fluids 11, 417–422 (1999) · Zbl 1147.76430 · doi:10.1063/1.869889
[24] Liu, Z.C., Adrian, R.J., Hanratty, T.J.: Study of turbulent channel flow at moderate Reynolds numbers with particle-image velocimetry and proper orthogonal decomposition. In: 7th International Symp. on Appl. of Laser Techn. to Fluid Mech., Lisbon, Portugal, 11–14 July 1994
[25] Liu, Z.C., Adrian, R.J., Hanratty, T.J.: A study of streaky structure in a turbulent channel flow with particle image velocimetry. In: 8th International Symp. on Appl. of Laser Techn. to Fluid Mech., Lisbon, Portugal, 8–11 July 1996
[26] Liu, Z.C., Adrian, R.J., Hanratty, T.J.: Large scale models of turbulent channel flow: transport and structures. Tech. Rep. 929, Theoretical and Applied Mechanics, University of Illinois, Urbana-Champaign (2000) (see also J. Fluid Mech. 448, 53–80) · Zbl 1102.76314
[27] Lyons, S.L., Nikolaides, C., Hanratty, T.J.: The size of turbulent eddies close to a wall. AIChE J. 34, 938–945 (1988) · doi:10.1002/aic.690340606
[28] Lyons, S.L.: A direct numerical simulation of fully developed turbulent channel flow with passive heat transfer. Ph.D. thesis, University of Illinois, Urbana (1989)
[29] Lyons, S.L., Hanratty, T.J., McLaughlin, J.B.: Turbulence-producing eddies in the viscous wall region. AIChE J. 35, 1962–1974 (1989) · doi:10.1002/aic.690351207
[30] Lyons, S.L., Hanratty, T.J., McLaughlin, J.B.: Large-scale computer simulation of fully developed channel flow with heat transfer. Int. J. Num. Methods Fluids 13, 999–1028 (1991) · Zbl 0741.76060 · doi:10.1002/fld.1650130805
[31] Marusic, I.: On the role of large scale wall in wall turbulence. Phys. Fluids 13, 735–743 (2001) · Zbl 1184.76351 · doi:10.1063/1.1343480
[32] Moser, R.D., Kim, J., Mansour, N.N.: Direct numerical simulation of turbulent channel flow up to \( \operatorname{Re} _{\tau } = 590 \) . Phys. Fluids A 11, 943–945 (1999) · Zbl 1147.76463 · doi:10.1063/1.869966
[33] Na, Y., Hanratty, T.J., Liu, Z.C.: The use of DNS to defined stress producing events for turbulent flow over a smooth wall. Flow Turbul. Combust. 66, 495–512 (2001) · Zbl 0993.76038 · doi:10.1023/A:1013562531776
[34] Nakagawa, S., Hanratty, T.J.: Particle image velocimetry measurements of flow over a wavy wall. Phys. Fluids 13, 3504–3507 (2001) · Zbl 1184.76389 · doi:10.1063/1.1399291
[35] Nakagawa, S., Na, Y., Hanratty, T.J.: Influence of a wavy boundary on turbulence. I. Highly rough surface. Exp. Fluids 35, 422–436 (2003) · doi:10.1007/s00348-003-0681-2
[36] Nakagawa, S., Hanratty, T.J.: Influence of a wavy boundary on turbulence. II. Intermediate roughened and hydraulically smooth surfaces. Exp. Fluids 35, 437–447 (2003) · doi:10.1007/s00348-003-0682-1
[37] Nikolaides, C.: A study of the coherent structures in the viscous wall region of a turbulent flow. Ph.D. thesis, University of Illinois, Urbana (1984)
[38] Papavassiliou, D.V.: Structure and transport in wall turbulence. Ph.D. thesis, University of Illinois, Urbana (1996)
[39] Robinson, S.K., Kline, S.J., Spalart, P.R.: Quasi-coherent structures in the turbulent boundary-layer: Part II Verification and new information from a numerically simulated flat-plate layer. In: Zoran, P.Z. (ed.) International Seminar on Near-Wall Turbulence. Dubrovnik, Yugoslavia, May 1988
[40] 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 · doi:10.1017/S0022112003005251
[41] Townsend, A.A.: The Structure of Turbulent Shear Flows, 2nd edn. Cambridge University Press, Cambridge (1976) · Zbl 0325.76063
[42] Vlachogiannis, M., Hanratty, T.J.: Influence of wavy structured surfaces and large scale polymer structures on drag reduction. Exp. Fluids 36, 685–700 (2004) · doi:10.1007/s00348-003-0745-3
[43] Zhou, J., Meinhart, C.D., Balachandar, S., Adrian, R.J.: Formation of coherent hairpin packets in wall turbulence. In: Panton, R.L. (ed.) Self-sustaining Mechanism of Wall Turbulence. Computational Mechanics Publications, pp. 109–134 (1997)
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