Path Lengths in Turbulence

被引：1

作者：

Ouellette, Nicholas T. ^{[3
]}

Bodenschatz, Eberhard ^{[1
,2
,4
,5
]}

Xu, Haitao ^{[1
]}

机构：

[1] Max Planck Inst Dynam & Self Org, D-37077 Gottingen, Germany

[2] Univ Gottingen, Inst Nonlinear Dynam, D-37077 Gottingen, Germany

[3] Yale Univ, Dept Mech Engn & Mat Sci, New Haven, CT 06520 USA

[4] Cornell Univ, Lab Atom & Solid State Phys, Ithaca, NY 14853 USA

[5] Cornell Univ, Sibley Sch Mech & Aerosp Engn, Ithaca, NY 14853 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 145卷 / 01期

基金：

美国国家科学基金会;

关键词：

Turbulence; Lagrangian statistics; Single particle dispersion; DIFFUSION; PARTICLES; FLUID;

D O I：

10.1007/s10955-011-0323-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By tracking tracer particles at high speeds and for long times, we study the geometric statistics of Lagrangian trajectories in an intensely turbulent laboratory flow. In particular, we consider the distinction between the displacement of particles from their initial positions and the total distance they travel. The difference of these two quantities shows power-law scaling in the inertial range. By comparing them with simulations of a chaotic but non-turbulent flow and a Lagrangian Stochastic model, we suggest that our results are a signature of turbulence.

引用

页码：93 / 101

页数：9

共 28 条

[1] Universal intermittent properties of particle trajectories in highly turbulent flows [J].

Arneodo, A. ;

Benzi, R. ;

Berg, J. ;

Biferale, L. ;

Bodenschatz, E. ;

Busse, A. ;

Calzavarini, E. ;

Castaing, B. ;

Cencini, M. ;

Chevillard, L. ;

Fisher, R. T. ;

Grauer, R. ;

Homann, H. ;

Lamb, D. ;

Lanotte, A. S. ;

Leveque, E. ;

Luethi, B. ;

Mann, J. ;

Mordant, N. ;

Mueller, W. -C. ;

Ott, S. ;

Ouellette, N. T. ;

Pinton, J. -F. ;

Pope, S. B. ;

Roux, S. G. ;

Toschi, F. ;

Xu, H. ;

Yeung, P. K. .

PHYSICAL REVIEW LETTERS, 2008, 100 (25)

[2] THE APPLICATION OF THE SIMILARITY THEORY OF TURBULENCE TO ATMOSPHERIC DIFFUSION [J].

BATCHELOR, GK .

QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 1950, 76 (328) :133-146

[3]

Biferale L, 2005, PHYS FLUIDS, V17, DOI [10.1063/1.1846771, 10.1063/1.2130751]

[4] Lagrangian structure functions in turbulence: A quantitative comparison between experiment and direct numerical simulation [J].

Biferale, L. ;

Bodenschatz, E. ;

Cencini, M. ;

Lanotte, A. S. ;

Ouellette, N. T. ;

Toschi, F. ;

Xu, H. .

PHYSICS OF FLUIDS, 2008, 20 (06)

[5] The role of pair dispersion in turbulent flow [J].

Bourgoin, M ;

Ouellette, NT ;

Xu, HT ;

Berg, J ;

Bodenschatz, E .

SCIENCE, 2006, 311 (5762) :835-838

[6] Geometry of particle paths in turbulent flows [J].

Braun, W. ;

De Lillo, F. ;

Eckhardt, B. .

JOURNAL OF TURBULENCE, 2006, 7 (62) :1-10

[7] Lagrangian tetrad dynamics and the phenomenology of turbulence [J].

Chertkov, M ;

Pumir, A ;

Shraiman, BI .

PHYSICS OF FLUIDS, 1999, 11 (08) :2394-2410

[8] Helicity and geometric nature of particle trajectories in homogeneous isotropic turbulence [J].

Choi, Yeontaek ;

Park, Yongnam ;

Lee, Changhoon .

INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2010, 31 (03) :482-487

[9]

Davies PJ, 2004, PLANT HORMONES: BIOSYNTHESIS, SIGNAL TRANSDUCTION, ACTION, P1

[10] CHAOTIC STREAMLINES IN THE ABC FLOWS [J].

DOMBRE, T ;

FRISCH, U ;

GREENE, JM ;

HENON, M ;

MEHR, A ;

SOWARD, AM .

JOURNAL OF FLUID MECHANICS, 1986, 167 :353-391

← 1 2 3 →