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2019 | OriginalPaper | Chapter

Small Scale Statistics of Turbulent Fluctuations Close to a Stagnation Point

Authors : Peter D. Huck, Nathanael Machicoane, Romain Volk

Published in: Turbulent Cascades II

Publisher: Springer International Publishing

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Abstract

Experimental data measured with a 3d Shadow-Particle Tracking Velocimetry (S-PTV) setup in fully developed turbulence (\(\mathrm {Re_\lambda }=[175-225]\)) is presented. The underlying flow is of the von Kármán type and as other similar flows, its mean flow is bistable, the two states having the topology of a stagnation point with one contracting and two dilating directions. Tracer particle trajectories permit the investigation of the inhomogeneity and anisotropy of the smallest scales, namely acceleration statistics. The local variance and time-scale of acceleration components are shown to mimic the large scale properties of the flow, the time-scales being more anisotropic than the variances. We explain the hierarchy of time-scales by investigating the Lagrangian Taylor micro-scale which is related to acceleration and velocity variances, and discuss the very high Reynolds number regime.

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Literature
1.
go back to reference Sawford, B.L.: Lagrangian statistical simulation of concentration mean and fluctuation fields. J. Clim. Appl Meteorol. 24, 1152–1166 (1985)CrossRef Sawford, B.L.: Lagrangian statistical simulation of concentration mean and fluctuation fields. J. Clim. Appl Meteorol. 24, 1152–1166 (1985)CrossRef
2.
go back to reference Paul, E.L., Atiemo-Obeng, V.A., Kresta, S.M.: Handbook of Industrial Mixing: Science and Practice. Wiley , Inc. (2004) Paul, E.L., Atiemo-Obeng, V.A., Kresta, S.M.: Handbook of Industrial Mixing: Science and Practice. Wiley , Inc. (2004)
3.
go back to reference Breuer, S., Oberlack, M., Peters, N.: Non-isotropic length scales during the compression stroke of a motored piston engine. Flow Turbul. Combust. 74(2), 145–167 (2005)CrossRef Breuer, S., Oberlack, M., Peters, N.: Non-isotropic length scales during the compression stroke of a motored piston engine. Flow Turbul. Combust. 74(2), 145–167 (2005)CrossRef
4.
go back to reference Comte-Bellot, G., Corrsin, S.: The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25(04), 657 (1966)CrossRef Comte-Bellot, G., Corrsin, S.: The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 25(04), 657 (1966)CrossRef
5.
go back to reference Tucker, H.J., Reynolds, A.J.: The distortion of turbulence by irrotational plane strain. J. Fluid Mech. 32, 657 (1968)CrossRef Tucker, H.J., Reynolds, A.J.: The distortion of turbulence by irrotational plane strain. J. Fluid Mech. 32, 657 (1968)CrossRef
6.
go back to reference Sagaut, P., Cambon, C.: Homogeneous Turbulence Dynamics. Cambridge University Press (2008) Sagaut, P., Cambon, C.: Homogeneous Turbulence Dynamics. Cambridge University Press (2008)
7.
go back to reference Ayyalasomayajula, S., Warhaft, Z.: Nonlinear interactions in strained axisymmetric high-Reynolds-number turbulence. 566(2006), 273 (2006) Ayyalasomayajula, S., Warhaft, Z.: Nonlinear interactions in strained axisymmetric high-Reynolds-number turbulence. 566(2006), 273 (2006)
8.
go back to reference Clay, M.P., Yeung, P.K.: A numerical study of turbulence under temporally evolving axisymmetric contraction and subsequent relaxation. J. Fluid Mech. 805, 460–493 (2016)MathSciNetCrossRef Clay, M.P., Yeung, P.K.: A numerical study of turbulence under temporally evolving axisymmetric contraction and subsequent relaxation. J. Fluid Mech. 805, 460–493 (2016)MathSciNetCrossRef
9.
go back to reference Lee, C.-M., Gylfason, Á., Perlekar, P., Toschi, F.: Inertial particle acceleration in strained turbulence. J. Fluid Mech. 785, 31–53 (2015)MathSciNetCrossRef Lee, C.-M., Gylfason, Á., Perlekar, P., Toschi, F.: Inertial particle acceleration in strained turbulence. J. Fluid Mech. 785, 31–53 (2015)MathSciNetCrossRef
10.
go back to reference Marie, L., Daviaud, L.: Experimental measurement of the scale-by-scale momentum transport budget in a turbulent shear flow. Phys. Fluids 16(2) (2004)CrossRef Marie, L., Daviaud, L.: Experimental measurement of the scale-by-scale momentum transport budget in a turbulent shear flow. Phys. Fluids 16(2) (2004)CrossRef
11.
go back to reference Huck, P.D., Machicoane, N., Volk, R.: Production and dissipation of turbulent fluctuations close to a stagnation point. Phys. Rev. Fluids 2(8), 084601 (2017) Huck, P.D., Machicoane, N., Volk, R.: Production and dissipation of turbulent fluctuations close to a stagnation point. Phys. Rev. Fluids 2(8), 084601 (2017)
12.
go back to reference Taylor, G.I.: Statistical theory of turbulence. Proc. Roy. Soc. A 151(873), 421–478 (1935)MATH Taylor, G.I.: Statistical theory of turbulence. Proc. Roy. Soc. A 151(873), 421–478 (1935)MATH
13.
go back to reference Corrsin, S., Uberoi, M.: Diffusion of heat from a line source in isotropic turbulence. Natl. Adv. Comm. Aeronaut. Tech. Rep. 1142(1142) (1953) Corrsin, S., Uberoi, M.: Diffusion of heat from a line source in isotropic turbulence. Natl. Adv. Comm. Aeronaut. Tech. Rep. 1142(1142) (1953)
14.
go back to reference Huck, P.D., Machicoane, N., Volk, R.: A cost-efficient shadow particle tracking velocimetry setup suitable for tracking small objects in a large volume. Procedia IUTAM 20, 175–182 (2017)CrossRef Huck, P.D., Machicoane, N., Volk, R.: A cost-efficient shadow particle tracking velocimetry setup suitable for tracking small objects in a large volume. Procedia IUTAM 20, 175–182 (2017)CrossRef
15.
go back to reference Ouellette, N.T., Xu, H., Bodenschatz, E.: A quantitative study of three-dimensional Lagrangian particle tracking algorithms. Exper. Fluids 40(2), 301–313 (2006)CrossRef Ouellette, N.T., Xu, H., Bodenschatz, E.: A quantitative study of three-dimensional Lagrangian particle tracking algorithms. Exper. Fluids 40(2), 301–313 (2006)CrossRef
16.
go back to reference De La Torre, A., Burguete, J.: Slow dynamics in a turbulent von Kármán swirling flow. Phys. Rev. Lett. 99(5), 3–6 (2007) De La Torre, A., Burguete, J.: Slow dynamics in a turbulent von Kármán swirling flow. Phys. Rev. Lett. 99(5), 3–6 (2007)
17.
go back to reference Ravelet, F., Chiffaudel, A., Daviaud, F.: Supercritical transition to turbulence in an inertially driven von Kármán closed flow. J. Fluid Mech. 601, 339–364 (2008)CrossRef Ravelet, F., Chiffaudel, A., Daviaud, F.: Supercritical transition to turbulence in an inertially driven von Kármán closed flow. J. Fluid Mech. 601, 339–364 (2008)CrossRef
18.
go back to reference Sawford, B.L., Pinton, J.F.: A Lagrangian view of turbulent dispersion and mixing. In: Sreenviasan, K.R., Davidson, P.A., Kaneda, Y. (eds.) Ten Chapters in Turbulence, Chapter 4, pp. 132–175. Cambridge University Press, Cambridge (2012) Sawford, B.L., Pinton, J.F.: A Lagrangian view of turbulent dispersion and mixing. In: Sreenviasan, K.R., Davidson, P.A., Kaneda, Y. (eds.) Ten Chapters in Turbulence, Chapter 4, pp. 132–175. Cambridge University Press, Cambridge (2012)
19.
go back to reference Yeung, P.K., Pope, S.B.: Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531 (1989)MathSciNetCrossRef Yeung, P.K., Pope, S.B.: Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531 (1989)MathSciNetCrossRef
20.
go back to reference Sawford, B.L., Yeung, P.K.: Kolmogorov similarity scaling for one-particle Lagrangian statistics. Phys. Fluids 23(9), 1–5 (2011)CrossRef Sawford, B.L., Yeung, P.K.: Kolmogorov similarity scaling for one-particle Lagrangian statistics. Phys. Fluids 23(9), 1–5 (2011)CrossRef
21.
go back to reference Ouellette, N.T., Xu, H., Bourgoin, M., Bodenschatz, E.: Small-scale anisotropy in Lagrangian turbulence. New J. Phys. 8 (2006)CrossRef Ouellette, N.T., Xu, H., Bourgoin, M., Bodenschatz, E.: Small-scale anisotropy in Lagrangian turbulence. New J. Phys. 8 (2006)CrossRef
22.
go back to reference Voth Greg, A., La Porta, A., Crawford, A.M., Alexander, J., Bodenschatz, E.: Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121–160 (2002) Voth Greg, A., La Porta, A., Crawford, A.M., Alexander, J., Bodenschatz, E.: Measurement of particle accelerations in fully developed turbulence. J. Fluid Mech. 469, 121–160 (2002)
23.
go back to reference Volk, R., Chareyron, D., Pinton, J.: Mesures d’accélération lagrangienne dans un écoulement anisotrope par vélocimétrie laser Doppler étendue. 20ème Congrès Français De Mécanique, pp. 1–6 (2011) Volk, R., Chareyron, D., Pinton, J.: Mesures d’accélération lagrangienne dans un écoulement anisotrope par vélocimétrie laser Doppler étendue. 20ème Congrès Français De Mécanique, pp. 1–6 (2011)
24.
go back to reference Toschi, F., Bodenschatz, E.: Lagrangian properties of particles in turbulence. Ann. Rev. Fluid Mech. 41, 375–404 (2009)MathSciNetCrossRef Toschi, F., Bodenschatz, E.: Lagrangian properties of particles in turbulence. Ann. Rev. Fluid Mech. 41, 375–404 (2009)MathSciNetCrossRef
Metadata
Title
Small Scale Statistics of Turbulent Fluctuations Close to a Stagnation Point
Authors
Peter D. Huck
Nathanael Machicoane
Romain Volk
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-12547-9_14

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