Lagrangian statistics of light particles in turbulence

J. Martinez Mercado; Vivek Nagendra Prakash; Y. Tagawa; Chao Sun; Detlef Lohse

doi:10.1063/1.4719148

Lagrangian statistics of light particles in turbulence

J. Martinez Mercado, Vivek Nagendra Prakash, Y. Tagawa, Chao Sun, Detlef Lohse

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Abstract

We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter db = 340 ¿m and Stokes number from 0.02 to 0.09 are dispersed in a turbulent water tunnel operated at Taylor-Reynolds numbers (Re¿) ranging from 160 to 265. We reconstruct the bubble trajectories by employing three-dimensional particle tracking velocimetry. It is found that the probability density functions (PDFs) of the micro-bubble acceleration show a highly non-Gaussian behavior with flatness values in the range 23 to 30. The acceleration flatness values show an increasing trend with Re¿, consistent with previous experiments [G. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, ¿Measurement of particle accelerations in fully developed turbulence,¿ J. Fluid Mech. 469, 121 (2002)]10.1017/S0022112002001842 and numerics [T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, ¿Small-scale statistics in highresolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics,¿ J. Fluid Mech. 592, 335 (2007)]10.1017/S0022112007008531 . These acceleration PDFs show a higher intermittency compared to tracers [S. Ayyalasomayajula, Z. Warhaft, and L. R. Collins, ¿Modeling inertial particle acceleration statistics in isotropic turbulence,¿ Phys. Fluids. 20, 095104 (2008)]10.1063/1.2976174 and heavy particles [S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft, ¿Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence,¿ Phys. Rev. Lett. 97, 144507 (2006)]10.1103/PhysRevLett.97.144507 in wind tunnel experiments. In addition, the micro-bubble acceleration autocorrelation function decorrelates slower with increasing Re¿. We also compare our results with experiments in von Kármán flows and point-particle direct numerical simulations with periodic boundary conditions.

Original language	English
Article number	055106
Pages (from-to)	-
Number of pages	14
Journal	Physics of fluids
Volume	24
Issue number	5
DOIs	https://doi.org/10.1063/1.4719148
Publication status	Published - 2012

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METIS-288413
IR-81790

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10.1063/1.4719148

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title = "Lagrangian statistics of light particles in turbulence",

abstract = "We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter db = 340 ¿m and Stokes number from 0.02 to 0.09 are dispersed in a turbulent water tunnel operated at Taylor-Reynolds numbers (Re¿) ranging from 160 to 265. We reconstruct the bubble trajectories by employing three-dimensional particle tracking velocimetry. It is found that the probability density functions (PDFs) of the micro-bubble acceleration show a highly non-Gaussian behavior with flatness values in the range 23 to 30. The acceleration flatness values show an increasing trend with Re¿, consistent with previous experiments [G. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, ¿Measurement of particle accelerations in fully developed turbulence,¿ J. Fluid Mech. 469, 121 (2002)]10.1017/S0022112002001842 and numerics [T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, ¿Small-scale statistics in highresolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics,¿ J. Fluid Mech. 592, 335 (2007)]10.1017/S0022112007008531 . These acceleration PDFs show a higher intermittency compared to tracers [S. Ayyalasomayajula, Z. Warhaft, and L. R. Collins, ¿Modeling inertial particle acceleration statistics in isotropic turbulence,¿ Phys. Fluids. 20, 095104 (2008)]10.1063/1.2976174 and heavy particles [S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft, ¿Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence,¿ Phys. Rev. Lett. 97, 144507 (2006)]10.1103/PhysRevLett.97.144507 in wind tunnel experiments. In addition, the micro-bubble acceleration autocorrelation function decorrelates slower with increasing Re¿. We also compare our results with experiments in von K{\'a}rm{\'a}n flows and point-particle direct numerical simulations with periodic boundary conditions.",

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author = "{Martinez Mercado}, J. and {Nagendra Prakash}, Vivek and Y. Tagawa and Chao Sun and Detlef Lohse",

year = "2012",

doi = "10.1063/1.4719148",

language = "English",

volume = "24",

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journal = "Physics of fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

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T1 - Lagrangian statistics of light particles in turbulence

AU - Martinez Mercado, J.

AU - Nagendra Prakash, Vivek

AU - Tagawa, Y.

AU - Sun, Chao

AU - Lohse, Detlef

PY - 2012

Y1 - 2012

N2 - We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter db = 340 ¿m and Stokes number from 0.02 to 0.09 are dispersed in a turbulent water tunnel operated at Taylor-Reynolds numbers (Re¿) ranging from 160 to 265. We reconstruct the bubble trajectories by employing three-dimensional particle tracking velocimetry. It is found that the probability density functions (PDFs) of the micro-bubble acceleration show a highly non-Gaussian behavior with flatness values in the range 23 to 30. The acceleration flatness values show an increasing trend with Re¿, consistent with previous experiments [G. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, ¿Measurement of particle accelerations in fully developed turbulence,¿ J. Fluid Mech. 469, 121 (2002)]10.1017/S0022112002001842 and numerics [T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, ¿Small-scale statistics in highresolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics,¿ J. Fluid Mech. 592, 335 (2007)]10.1017/S0022112007008531 . These acceleration PDFs show a higher intermittency compared to tracers [S. Ayyalasomayajula, Z. Warhaft, and L. R. Collins, ¿Modeling inertial particle acceleration statistics in isotropic turbulence,¿ Phys. Fluids. 20, 095104 (2008)]10.1063/1.2976174 and heavy particles [S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft, ¿Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence,¿ Phys. Rev. Lett. 97, 144507 (2006)]10.1103/PhysRevLett.97.144507 in wind tunnel experiments. In addition, the micro-bubble acceleration autocorrelation function decorrelates slower with increasing Re¿. We also compare our results with experiments in von Kármán flows and point-particle direct numerical simulations with periodic boundary conditions.

AB - We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter db = 340 ¿m and Stokes number from 0.02 to 0.09 are dispersed in a turbulent water tunnel operated at Taylor-Reynolds numbers (Re¿) ranging from 160 to 265. We reconstruct the bubble trajectories by employing three-dimensional particle tracking velocimetry. It is found that the probability density functions (PDFs) of the micro-bubble acceleration show a highly non-Gaussian behavior with flatness values in the range 23 to 30. The acceleration flatness values show an increasing trend with Re¿, consistent with previous experiments [G. Voth, A. La Porta, A. M. Crawford, J. Alexander, and E. Bodenschatz, ¿Measurement of particle accelerations in fully developed turbulence,¿ J. Fluid Mech. 469, 121 (2002)]10.1017/S0022112002001842 and numerics [T. Ishihara, Y. Kaneda, M. Yokokawa, K. Itakura, and A. Uno, ¿Small-scale statistics in highresolution direct numerical simulation of turbulence: Reynolds number dependence of one-point velocity gradient statistics,¿ J. Fluid Mech. 592, 335 (2007)]10.1017/S0022112007008531 . These acceleration PDFs show a higher intermittency compared to tracers [S. Ayyalasomayajula, Z. Warhaft, and L. R. Collins, ¿Modeling inertial particle acceleration statistics in isotropic turbulence,¿ Phys. Fluids. 20, 095104 (2008)]10.1063/1.2976174 and heavy particles [S. Ayyalasomayajula, A. Gylfason, L. R. Collins, E. Bodenschatz, and Z. Warhaft, ¿Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence,¿ Phys. Rev. Lett. 97, 144507 (2006)]10.1103/PhysRevLett.97.144507 in wind tunnel experiments. In addition, the micro-bubble acceleration autocorrelation function decorrelates slower with increasing Re¿. We also compare our results with experiments in von Kármán flows and point-particle direct numerical simulations with periodic boundary conditions.

KW - METIS-288413

KW - IR-81790

U2 - 10.1063/1.4719148

DO - 10.1063/1.4719148

M3 - Article

SN - 1070-6631

VL - 24

SP - -

JO - Physics of fluids

JF - Physics of fluids

IS - 5

M1 - 055106

ER -

Lagrangian statistics of light particles in turbulence

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