×

Quantifying eddy structures and very-large-scale motions in turbulent round jets. (English) Zbl 1485.76049

Summary: Coherent structures in turbulent round jets are evaluated for a jet Reynolds number up to \(Re_d=50\,000\) with the aid of two-point measurements and an existing direct numerical simulation (DNS) dataset at \(Re_d=7290\). The experimental data comprise simultaneous velocity time series acquired with both radial and azimuthal separations between the sensors. A spectral correlation analysis is applied to these data that reveals that the coherent structures in the jet flow consist of two principal configurations, which correspond to two main spectral domains. One spectral domain, which is signified by small to medium wavelengths, is associated with hierarchical eddy structures (ESs) for which a physical aspect ratio of \(1.2:1:1\) in the axial, radial and azimuthal directions is observed. The other spectral domain, indicated by large wavelengths, is associated with very-large-scale motions (VLSMs). The wavelength marking the boundary between these spectral domains is used to decompose the velocity fluctuations into ES and VLSM components, and the corresponding ES and VLSM components of two-point correlations are obtained from the experimental data. The VLSM component of two-point correlations denotes helical structures as the dominant VLSMs in the jet turbulent region. Instantaneous axial velocity fluctuation fields from DNS support the prevalence of helical VLSMs in the jet. Moreover, the ES signatures are evident in the unwrapped axial-azimuthal planes of the DNS, indicating that the VLSMs are formed by the concatenation of ESs. Consistent with the experimental two-point correlations and DNS flow fields, a conceptual model is proposed for the ESs and VLSMs, which illustrates their arrangements.

MSC:

76F10 Shear flows and turbulence
76F65 Direct numerical and large eddy simulation of turbulence
76F55 Statistical turbulence modeling
76-05 Experimental work for problems pertaining to fluid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Adrian, R.J.2007Hairpin vortex organization in wall turbulence. Phys. Fluids19 (4), 041301. · Zbl 1146.76307
[2] Adrian, R.J., Meinhart, C.D. & Tomkins, C.D.2000Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech.422, 1-54. · Zbl 0959.76503
[3] Anghan, C., Dave, S., Saincher, S. & Banerjee, J.2019Direct numerical simulation of transitional and turbulent round jets: evolution of vortical structures and turbulence budget. Phys. Fluids31 (6), 065105.
[4] Baars, W.J., Hutchins, N. & Marusic, I.2016Spectral stochastic estimation of high-Reynolds-number wall-bounded turbulence for a refined inner-outer interaction model. Phys. Rev. Fluids1 (5), 054406.
[5] Baars, W.J., Hutchins, N. & Marusic, I.2017Self-similarity of wall-attached turbulence in boundary layers. J. Fluid Mech.823, R2. · Zbl 1419.76299
[6] Baars, W.J. & Marusic, I.2020Data-driven decomposition of the streamwise turbulence kinetic energy in boundary layers. Part 1. Energy spectra. J. Fluid Mech.882, A25. · Zbl 1460.76449
[7] Baidya, R., et al.2019Simultaneous skin friction and velocity measurements in high Reynolds number pipe and boundary layer flows. J. Fluid Mech.871, 377-400. · Zbl 1419.76300
[8] Bailey, S.C.C., Hultmark, M., Smits, A.J. & Schultz, M.P.2008Azimuthal structure of turbulence in high Reynolds number pipe flow. J. Fluid Mech.615, 121-138. · Zbl 1175.76003
[9] Balakumar, B.J. & Adrian, R.J.2007Large-and very-large-scale motions in channel and boundary-layer flows. Phil. Trans. R. Soc. A365 (1852), 665-681. · Zbl 1152.76369
[10] Ball, C.G., Fellouah, H. & Pollard, A.2012The flow field in turbulent round free jets. Prog. Aerosp. Sci.50, 1-26.
[11] Baltzer, J.R., Adrian, R.J. & Wu, X.2013Structural organization of large and very large scales in turbulent pipe flow simulation. J. Fluid Mech.720, 236. · Zbl 1284.76218
[12] Bendat, J.S. & Piersol, A.G.2011Random Data: Analysis and Measurement Procedures. John Wiley & Sons. · Zbl 0259.62003
[13] Breda, M. & Buxton, O.R.H.2018Influence of coherent structures on the evolution of an axisymmetric turbulent jet. Phys. Fluids30 (3), 035109.
[14] Browand, F.K. & Laufer, J.1975 The roles of large scale structures in the initial development of circular jets. In Symposia on Turbulence in Liquids, p. 35. University of Missouri-Rolla.
[15] Casey, T.A., Sakakibara, J. & Thoroddsen, S.T.2013Scanning tomographic particle image velocimetry applied to a turbulent jet. Phys. Fluids25 (2), 025102.
[16] Cavalieri, A.V.G., Rodríguez, D., Jordan, P., Colonius, T. & Gervais, Y.2013Wavepackets in the velocity field of turbulent jets. J. Fluid Mech.730, 559-592. · Zbl 1291.76280
[17] Crow, S.C. & Champagne, F.H.1971Orderly structure in jet turbulence. J. Fluid Mech.48, 547-591.
[18] Delville, J., Ukeiley, L., Cordier, L., Bonnet, J. & Glauser, M.1999Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition. J. Fluid Mech.391, 91-122. · Zbl 0995.76030
[19] Dimotakis, P.E., Miake-Lye, R.C. & Papantoniou, D.A.1983Structure and dynamics of round turbulent jets. Phys. Fluids26 (11), 3185-3192.
[20] Fellouah, H., Ball, C.G. & Pollard, A.2009Reynolds number effects within the development region of a turbulent round free jet. Intl J Heat Mass Transfer52 (17-18), 3943-3954.
[21] Fiedler, H.E.1988Coherent structures in turbulent flows. Prog. Aerosp. Sci.25 (3), 231-269.
[22] Fu, Z., Agarwal, A., Cavalieri, A.V.G., Jordan, P. & Brès, G.A.2017Turbulent jet noise in the absence of coherent structures. Phys. Rev. Fluids2 (6), 064601.
[23] Glauser, M.N., Leib, S.J. & George, W.K.1987 Coherent structures in the axisymmetric turbulent jet mixing layer. In Turbulent Shear Flows 5, pp. 134-145. Springer.
[24] Guala, M., Hommema, S.E. & Adrian, R.J.2006Large-scale and very-large-scale motions in turbulent pipe flow. J. Fluid Mech.554, 521. · Zbl 1156.76316
[25] Head, M.R. & Bandyopadhyay, P.1981New aspects of turbulent boundary-layer structure. J. Fluid Mech.107, 297-338.
[26] Hussain, A.K.M.F.1983Coherent structures—reality and myth. Phys. Fluids26 (10), 2816-2850. · Zbl 0524.76066
[27] Hussain, A.K.M.F.1986Coherent structures and turbulence. J. Fluid Mech.173, 303-356.
[28] Hutchins, N. & Marusic, I.2007Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech.579, 1-28. · Zbl 1113.76004
[29] Hutchins, N., Monty, J.P., Ganapathisubramani, B., Ng, H.C. & Marusic, I.2011Three-dimensional conditional structure of a high-Reynolds-number turbulent boundary layer. J. Fluid Mech.673, 255. · Zbl 1225.76161
[30] Jung, D., Gamard, S. & George, W.K.2004Downstream evolution of the most energetic modes in a turbulent axisymmetric jet at high Reynolds number. Part 1. The near-field region. J. Fluid Mech.514, 173-204. · Zbl 1067.76507
[31] Lee, J.H. & Sung, H.J.2011Very-large-scale motions in a turbulent boundary layer. J. Fluid Mech.673, 80-120. · Zbl 1225.76162
[32] Lee, J.H., Sung, H.J. & Adrian, R.J.2019Space-time formation of very-large-scale motions in turbulent pipe flow. J. Fluid Mech.881, 1010-1047. · Zbl 1430.76272
[33] Liepmann, D. & Gharib, M.1992The role of streamwise vorticity in the near-field entrainment of round jets. J. Fluid Mech.245, 643-668.
[34] Ligrani, P.M. & Bradshaw, P.1987Subminiature hot-wire sensors: development and use. J. Phys. E20 (3), 323.
[35] Mankbadi, R. & Liu, J.T.C.1984Sound generated aerodynamically revisited: large-scale structures in a turbulent jet as a source of sound. Phil. Trans. R. Soc. Lond. A311 (1516), 183-217. · Zbl 0589.76071
[36] Marusic, I. & Heuer, W.D.C.2007Reynolds number invariance of the structure inclination angle in wall turbulence. Phys. Rev. Lett.99 (11), 114504.
[37] Matsuda, T. & Sakakibara, J.2005On the vortical structure in a round jet. Phys. Fluids17 (2), 025106. · Zbl 1187.76338
[38] Monty, J.P., Stewart, J.A., Williams, R.C. & Chong, M.S.2007Large-scale features in turbulent pipe and channel flows. J. Fluid Mech.589, 147. · Zbl 1141.76316
[39] Mullyadzhanov, R.I., Sandberg, R.D., Abdurakipov, S.S., George, W.K. & Hanjalić, K.2018Propagating helical waves as a building block of round turbulent jets. Phys. Rev. Fluids3 (6), 062601.
[40] Nickels, T.B. & Marusic, I.2001On the different contributions of coherentstructures to the spectra of a turbulent round jetand a turbulent boundary layer. J. Fluid Mech.448, 367-385. · Zbl 0995.76033
[41] Nickels, T.B. & Perry, A.E.1996An experimental and theoretical study of the turbulent coflowing jet. J. Fluid Mech.309, 157-182.
[42] Nogueira, P.A.S., Cavalieri, A.V.G., Jordan, P. & Jaunet, V.2019Large-scale streaky structures in turbulent jets. J. Fluid Mech.873, 211-237.
[43] Philip, J. & Marusic, I.2012Large-scale eddies and their role in entrainment in turbulent jets and wakes. Phys. Fluids24 (5), 055108.
[44] Sadeghi, H. & Pollard, A.2012Effects of passive control rings positioned in the shear layer and potential core of a turbulent round jet. Phys. Fluids24 (11), 115103.
[45] Samie, M., Hutchins, N. & Marusic, I.2018Revisiting end conduction effects in constant temperature hot-wire anemometry. Exp. Fluids59 (9), 133.
[46] Samie, M., Lavoie, P. & Pollard, A.2020A scale-dependent coherence analysis of turbulent round jets including the effects of shear layer manipulation. Intl J. Heat Fluid Flow82, 108524.
[47] Schmid, P.J.2010Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech.656, 5-28. · Zbl 1197.76091
[48] Schmidt, O.T., Towne, A., Rigas, G., Colonius, T. & Brès, G.A.2018Spectral analysis of jet turbulence. J. Fluid Mech.855, 953-982. · Zbl 1415.76293
[49] Semeraro, O., Bellani, G. & Lundell, F.2012Analysis of time-resolved PIV measurements of a confined turbulent jet using POD and Koopman modes. Exp. Fluids53 (5), 1203-1220.
[50] Shin, D., Sandberg, R.D. & Richardson, E.S.2017Self-similarity of fluid residence time statistics in a turbulent round jet. J. Fluid Mech.823, 1-25. · Zbl 1422.76080
[51] Sillero, J.A., Jiménez, J. & Moser, R.D.2014Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to \(\delta^+ \approx 2000\). Phys. Fluids26 (10), 105109.
[52] Suto, H., Matsubara, K., Kobayashi, M., Watanabe, H. & Matsudaira, Y.2004Coherent structures in a fully developed stage of a non-isothermal round jet. Heat Transfer Asian Res.33 (5), 342-356.
[53] Tomkins, C.D. & Adrian, R.J.2003Spanwise structure and scale growth in turbulent boundary layers. J. Fluid Mech.490, 37-74. · Zbl 1063.76514
[54] Towne, A., Schmidt, O.T. & Colonius, T.2018Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis. J. Fluid Mech.847, 821-867. · Zbl 1404.76145
[55] Townsend, A.A.R.1976The Structure of Turbulent Shear Flow. Cambridge University Press. · Zbl 0325.76063
[56] Tso, J. & Hussain, F.1989Organized motions in a fully developed turbulent axisymmetric jet. J. Fluid Mech.203, 425-448.
[57] Tyliszczak, A. & Geurts, B.J.2014Parametric analysis of excited round jets-numerical study. Flow Turbul. Combust.93 (2), 221-247.
[58] Ukeiley, L., Tinney, C.E., Mann, R. & Glauser, M.2007Spatial correlations in a transonic jet. AIAA J.45 (6), 1357-1369.
[59] Wang, Z., He, P., Lv, Y., Zhou, J., Fan, J. & Cen, K.2010Direct numerical simulation of subsonic round turbulent jet. Flow Turbul. Combust.84 (4), 669-686. · Zbl 1402.76045
[60] Winant, C.D. & Browand, F.K.1974Vortex pairing: the mechanism of turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech.63 (2), 237-255.
[61] Yoda, M., Hesselink, L. & Mungal, M.G.1994Instantaneous three-dimensional concentration measurements in the self-similar region of a round high-Schmidt-number jet. J. Fluid Mech.279, 313-350.
[62] Yule, A.J.1978Large-scale structure in the mixing layer of a round jet. J. Fluid Mech.89 (3), 413-432.
[63] Zaman, K.B.M.Q. & Hussain, A.K.M.F.1981 Turbulence suppression in free shear flows by controlled excitation. In 13th Fluid and PlasmaDynamics Conference, p. 1338.
[64] Zhou, J., Adrian, R.J., Balachandar, S. & Kendall, T.M.1999Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech.387, 353-396. · Zbl 0946.76030
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.