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Attached eddy-like particle clustering in a turbulent boundary layer under net sedimentation conditions

Published online by Cambridge University Press:  17 June 2021

Hangyu Zhu Open the ORCID record for Hangyu Zhu [Opens in a new window] ,
Chong Pan ,
Guohua Wang Open the ORCID record for Guohua Wang [Opens in a new window] ,
Yirui Liang ,
Xiaocang Ji  and
Jinjun Wang Open the ORCID record for Jinjun Wang [Opens in a new window]
Hangyu Zhu
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beihang University, Beijing100191, PR China
Chong Pan*
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beihang University, Beijing100191, PR China Aircraft and Propulsion Laboratory, Ningbo Institute of Technology, Beihang University, Ningbo315800, PR China
Guohua Wang
Affiliation:
Mechanics on Disaster and Environment in Western China Key Laboratory of Education Ministry, Lanzhou University, Lanzhou730000, PR China
Yirui Liang
Affiliation:
Mechanics on Disaster and Environment in Western China Key Laboratory of Education Ministry, Lanzhou University, Lanzhou730000, PR China
Xiaocang Ji
Affiliation:
Mechanics on Disaster and Environment in Western China Key Laboratory of Education Ministry, Lanzhou University, Lanzhou730000, PR China
Jinjun Wang
Affiliation:
Fluid Mechanics Key Laboratory of Education Ministry, Beihang University, Beijing100191, PR China
*
†Email address for correspondence: [email protected]
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Abstract

Characteristics of particle clustering in a particle-laden turbulent boundary layer at a moderate frictional Reynolds number ($Re_\tau =5500$) are experimentally investigated based on Voronoï analysis. High-inertia sand grains with a large viscous-time-based Stokes number, i.e. $St_p=10^2 - 10^3$, are used as the dispersed phase. The bulk particle volume fraction is $\varPhi _V\sim O(10^{-5})$. Two-dimensional velocity fields of the fluid and particle phases in the streamwise–wall-normal plane are simultaneously measured via particle image/tracking velocimetry. Under the net sedimentation condition, a self-similarity of the geometries of particle clusters is clearly seen in the log layer. This can be characterized by the $-5/3$ power law of the probability density functions of the particle cluster areas and the $y$-scaling of their first- and second-order moments. Considering the self-similarity of wall-attached structures in the attached eddy hypothesis, we propose a conceptual model in which a large proportion of particle clusters prefer to reside on the back ridges of low-momentum attached $u$-structures due to the high-strain effect caused by converging sweep–ejection events. Such a scenario can be partly evidenced by the conditional streamwise spectra of the streamwise and wall-normal fluid-phase velocity components being conditioned inside cluster-occupied regions, which present a distinct $y$-scaling in the log layer. Furthermore, the fluid-phase sweep and ejection events inside particle clusters are observed to be weaker than the cases outside cluster-occupied regions, and the local rate of strain inside cluster-occupied regions is relatively higher than in all unconditional statistics. Finally, conditional statistics reveal that those sand grains with relatively small slip velocities are prone to be captured by low-momentum turbulent motions to form particle clusters.

JFM classification

Boundary Layers: Boundary layer structure Multiphase and Particle-laden Flows: Particle/fluid flow Turbulent Flows: Turbulent boundary layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 920 , 10 August 2021 , A53
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Agostini, L. & Leschziner, M. 2017 Spectral analysis of near-wall turbulence in channel flow at $\mathrm {Re}_\tau = 4200$ with emphasis on the attached-eddy hypothesis. Phys. Rev. Fluids 2 (1), 014603.CrossRefGoogle Scholar
Aliseda, A., Cartellier, A., Hainaux, F. & Lasheras, J.C. 2002 Effect of preferential concentration on the settling velocity of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 468, 77–105.CrossRefGoogle Scholar
Baas, A.C.W. & Sherman, D.J. 2005 Formation and behavior of aeolian streamers. J. Geophys. Res. 110, F03011.Google Scholar
Baidya, R., Philip, J., Hutchins, N., Monty, J.P. & Marusic, I. 2017 Distance-from-the-wall scaling of turbulent motions in wall-bounded flows. Phys. Fluids 29 (2), 020712.CrossRefGoogle Scholar
Baker, L.J. & Coletti, F. 2021 Particle-fluid-wall interaction of inertial spherical particles in a turbulent boundary layer. J. Fluid Mech. 908, A39.CrossRefGoogle Scholar
Baker, L.J., Frankel, A., Mani, A. & Coletti, F. 2017 Coherent clusters of inertial particles in homogeneous turbulence. J. Fluid Mech. 833, 364–398.CrossRefGoogle Scholar
Balachandar, S. & Eaton, J.K. 2010 Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111–133.CrossRefGoogle Scholar
Berk, T. & Coletti, F. 2020 Transport of inertial particles in high-Reynolds-number turbulent boundary layers. J. Fluid Mech. 903, A18.CrossRefGoogle Scholar
Bragg, A.D., Ireland, P.J. & Collins, L.R. 2015 a Mechanisms for the clustering of inertial particles in the inertial range of isotropic turbulence. Phys. Rev. E 92 (2), 023–029.CrossRefGoogle ScholarPubMed
Bragg, A.D., Ireland, P.J. & Collins, L.R. 2015 b On the relationship between the non-local clustering mechanism and preferential concentration. J. Fluid Mech. 780, 327–343.CrossRefGoogle Scholar
Carter, D.W. & Coletti, F. 2018 Small-scale structure and energy transfer in homogeneous turbulence. J. Fluid Mech. 854, 505–543.CrossRefGoogle Scholar
Chamecki, M., van Hout, R., Meneveau, C. & Parlange, M.B. 2007 Concentration profiles of particles settling in the neutral and stratified atmospheric boundary layer. Boundary-Layer Meteorol. 125, 25–38.CrossRefGoogle Scholar
Chamecki, M. & Meneveau, C. 2011 Particle boundary layer above and downstream of an area source: scaling, simulations, and pollen transport. J. Fluid Mech. 683, 1–26.CrossRefGoogle Scholar
Chauhan, K.A., Monkewitz, P.A. & Nagib, H.M. 2009 Criteria for assessing experiments in zero pressure gradient boundary layers. Fluid Dyn. Res. 41 (2), 021404.CrossRefGoogle Scholar
Coleman, S.W. & Vassilicos, J.C. 2009 A unified sweep-stick mechanism to explain particle clustering in two-and three-dimensional homogeneous, isotropic turbulence. Phys. Fluids 21 (11), 113301.CrossRefGoogle Scholar
Deng, S., Pan, C., Wang, J. & He, G. 2018 On the spatial organization of hairpin packets in a turbulent boundary layer at low-to-moderate Reynolds number. J. Fluid Mech. 844, 635–668.CrossRefGoogle Scholar
Eaton, J.K. & Fessler, J.R. 1994 Preferential concentration of particles by turbulence. Intl J. Multiphase Flow 20, 169–209.CrossRefGoogle Scholar
Elghobashi, S. 1994 On predicting particle-laden turbulent flows. Appl. Sci. Res. 52 (4), 309–329.CrossRefGoogle Scholar
Ernst, M., Sommerfeld, M. & Laín, S. 2019 Quantification of preferential concentration of colliding particles in a homogeneous isotropic turbulent flow. Intl J. Multiphase Flow 117, 163–181.CrossRefGoogle Scholar
Farrell, E.J. & Sherman, D.J. 2013 Estimates of the Schmidt number for vertical flux distributions of wind-blown sand. J. Coast. Res. 165 (Special Issue 65), 1289–1294.CrossRefGoogle Scholar
Fong, K.O., Amili, O. & Coletti, F. 2019 Velocity and spatial distribution of inertial particles in a turbulent channel flow. J. Fluid Mech. 872, 367–406.CrossRefGoogle Scholar
Goto, S. & Vassilicos, J.C. 2008 Sweep-stick mechanism of heavy particle clustering in fluid turbulence. Phys. Rev. Lett. 100 (5), 054503.CrossRefGoogle ScholarPubMed
Hu, R., Yang, X.I.A. & Zheng, X. 2020 Wall-attached and wall-detached eddies in wall-bounded turbulent flows. J. Fluid Mech. 885, A30.CrossRefGoogle Scholar
Hwang, J. & Sung, H.J. 2018 Wall-attached structures of velocity fluctuations in a turbulent boundary layer. J. Fluid Mech. 856, 958–983.CrossRefGoogle Scholar
Jiménez, J. 2018 Coherent structures in wall-bounded turbulence. J. Fluid Mech. 842, P1.CrossRefGoogle Scholar
Kiger, K.T. & Pan, C. 2000 PIV technique for the simultaneous measurement of dilute two-phase flows. Trans. ASME: J. Fluids Engng 122 (4), 811–818.Google Scholar
Kiger, K.T. & Pan, C. 2002 Suspension and turbulence modification effects of solid particulates on a horizontal turbulent channel flow. J. Turbul. 3 (19), 1–17.CrossRefGoogle Scholar
Lee, J. & Lee, C. 2019 The effect of wall-normal gravity on particle-laden near-wall turbulence. J. Fluid Mech. 873, 475–507.CrossRefGoogle Scholar
Lian, H., Soulopoulos, N. & Hardalupas, Y. 2017 Evaluation of the topological characteristics of the turbulent flow in a ‘box of turbulence’ through 2D time-resolved particle image velocimetry. Exp. Fluids 58 (118), 1–17.CrossRefGoogle Scholar
Liu, Y., Jiang, X., Lee, C. & Hu, H. 2020 An experimental study on the spatiotemporal evolution of sand waves/ripples in turbulent boundary layer airflow. Phys. Fluids 32 (6), 063304.CrossRefGoogle Scholar
Lozano-Durán, A., Flores, O. & Jiménez, J. 2012 The three-dimensional structure of momentum transfer in turbulent channels. J. Fluid Mech. 694, 100–130.CrossRefGoogle Scholar
Luo, K., Dai, Q., Liu, X. & Fan, J. 2019 Effects of wall roughness on particle dynamics in a spatially developing turbulent boundary layer. Intl J. Multiphase Flow 111, 140–157.CrossRefGoogle Scholar
Marusic, I. & Monty, J.P. 2019 Attached eddy model of wall turbulence. Annu. Rev. Fluid Mech. 51, 49–74.CrossRefGoogle Scholar
Marusic, I., Monty, J.P., Hultmark, M. & Smits, A.J. 2013 On the logarithmic region in wall turbulence. J. Fluid Mech. 716, R3.CrossRefGoogle Scholar
Maxey, M.R. 1987 The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields. J. Fluid Mech. 174, 441–465.CrossRefGoogle Scholar
Meneveau, C. & Marusic, I. 2013 Generalized logarithmic law for high-order moments in turbulent boundary layers. J. Fluid Mech. 719, R1.CrossRefGoogle Scholar
Monchaux, R., Bourgoin, M. & Cartellier, A. 2010 Preferential concentration of heavy particles: a Voronoïanalysis. Phys. Fluids 22 (10), 103304.CrossRefGoogle Scholar
Monchaux, R. & Dejoan, A. 2017 Settling velocity and preferential concentration of heavy particles under two-way coupling effects in homogeneous turbulence. Phys. Rev. Fluids 2 (10), 104302.CrossRefGoogle Scholar
Nowbahar, A., Sardina, G., Picano, F. & Brandt, L. 2013 Turbophoresis attenuation in a turbulent channel flow with polymer additives. J. Fluid Mech. 732, 706–719.CrossRefGoogle Scholar
Obligado, M., Teitelbaum, T., Cartellier, A., Mininni, P. & Bourgoin, M. 2014 Preferential concentration of heavy particles in turbulence. J. Turbul. 15 (5), 293–310.CrossRefGoogle Scholar
Petersen, A.J., Baker, L. & Coletti, F. 2019 Experimental study of inertial particles clustering and settling in homogeneous turbulence. J. Fluid Mech. 864, 925–970.CrossRefGoogle Scholar
Prandtl, L. 1952 Essentials of Fluid Dynamics with Application to Hydraulics, Aeronautics, Meteorology, and Other Subjects. Hafner Publishing Company.Google Scholar
Rabencov, B. & van Hout, R. 2015 Voronoi analysis of beads suspended in a turbulent square channel flow. Intl J. Multiphase Flow 68, 10–13.CrossRefGoogle Scholar
Rawat, S., Cossu, C., Hwang, Y. & Rincon, F. 2015 On the self-sustained nature of large-scale motions in turbulent Couette flow. J. Fluid Mech. 782, 515–540.CrossRefGoogle Scholar
Richter, D. & Chamecki, M. 2018 Inertial effects on the vertical transport of suspended particles in a turbulent boundary layer. Boundary-Layer Meteorol. 167 (2), 235–256.CrossRefGoogle Scholar
Rose, C.P. & Thorne, P.D. 2001 Measurements of suspended sediment transport parameters in a tidal estuary. Cont. Shelf Res. 21, 1551–1575.CrossRefGoogle Scholar
Rouse, H. 1937 Modern conceptions of the mechanics of fluid turbulence. Trans. Am. Soc. Civ. Engng 102, 463–505.CrossRefGoogle Scholar
Sabban, L. & van Hout, R. 2011 Measurements of pollen grain dispersal in still air and stationary, near homogeneous, isotropic turbulence. J. Aerosol Sci. 42 (12), 867–882.CrossRefGoogle Scholar
Soldati, A. & Marchioli, C. 2009 Physics and modelling of turbulent particle deposition and entrainment: review of a systematic study. Intl J. Multiphase Flow 35 (9), 827–839.CrossRefGoogle Scholar
Sumbekova, S., Cartellier, A., Aliseda, A. & Bourgoin, M. 2017 Preferential concentration of inertial sub-Kolmogorov particles: the roles of mass loading of particles, stokes numbers, and Reynolds numbers. Phys. Rev. Fluids 2 (2), 024302.CrossRefGoogle Scholar
Tagawa, Y., Mercado, J.M., Prakash, V.N., Calzavarini, E., Sun, C. & Lohse, D. 2012 Three-dimensional Lagrangian Voronoï analysis for clustering of particles and bubbles in turbulence. J. Fluid Mech. 693, 201–215.CrossRefGoogle Scholar
Townsend, A.A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.Google Scholar
Wang, P., Feng, S.J., Zheng, X.J. & Sung, H.J. 2019 a The scale characteristics and formation mechanism of aeolian sand streamers based on large eddy simulation. J. Geophys. Res. 124 (11), 372–388.CrossRefGoogle Scholar
Wang, W., Pan, C. & Wang, J. 2019 b Wall-normal variation of spanwise streak spacing in turbulent boundary layer with low-to-moderate Reynolds number. Entropy 21 (1), 24.CrossRefGoogle Scholar
Yang, K., Zhao, L. & Andersson, H.I. 2017 a Preferential particle concentration in wall-bounded turbulence with zero skin friction. Phys. Fluids 29 (11), 113302.CrossRefGoogle Scholar
Yang, X.I.A., Baidya, R., Johnson, P., Marusic, I. & Meneveau, C. 2017 b Structure function tensor scaling in the logarithmic region derived from the attached eddy model of wall-bounded turbulent flows. Phys. Rev. Fluids 2 (6), 064602.CrossRefGoogle Scholar
Yang, X.I.A., Meneveau, C., Marusic, I. & Biferale, L. 2016 Extended self-similarity in moment-generating-functions in wall-bounded turbulence at high Reynolds number. Phys. Rev. Fluids 1 (4), 044405.CrossRefGoogle Scholar
Yu, Z., Xia, Y., Guo, Y. & Lin, J. 2021 Modulation of turbulence intensity by heavy finite-size particles in upward channel flow. J. Fluid Mech. 913, A3.CrossRefGoogle Scholar
Yuan, W., Zhao, L., Andersson, H.I. & Deng, J. 2018 Three-dimensional Voronoïanalysis of preferential concentration of spheroidal particles in wall turbulence. Phys. Fluids 30 (6), 063304.CrossRefGoogle Scholar
Zaichik, L.I. & Alipchenkov, V.M. 2009 Statistical models for predicting pair dispersion and particle clustering in isotropic turbulence and their applications. New J. Phys. 11 (10), 103018.CrossRefGoogle Scholar
Zheng, X. 2009 Mechanics of Wind-Blown Sand Movements. Springer.CrossRefGoogle Scholar
Zheng, X., Wang, G. & Zhu, W. 2021 Experimental study on the effects of particle–wall interactions on VLSM in sand-laden flows. J. Fluid Mech. 914, A35.CrossRefGoogle Scholar
Zhu, H.-Y., Pan, C., Wang, J.-J., Liang, Y.-R. & Ji, X.-C. 2019 Sand-turbulence interaction in a high-Reynolds-number turbulent boundary layer under net sedimentation conditions. Intl J. Multiphase Flow 119, 56–71.CrossRefGoogle Scholar