Batchelor scaling in fast-flowing soap films

被引:15
作者
Amarouchene, Y [1 ]
Kellay, H [1 ]
机构
[1] Univ Bordeaux 1, Ctr Phys Mol Opt & Hertzienne, F-33405 Talence, France
关键词
D O I
10.1103/PhysRevLett.93.214504
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The dynamics of a passive scalar such as a dye in the far dissipative range of fluid turbulence is a central problem in nonlinear physics. An important prediction for this problem was made by Batchelor over 40 years ago and is known as Batchelor's scaling law. We here present strong evidence in favor of this law for the thickness fluctuations in the flow of a soap film past a flat plate. The results also capture the dissipative range of the scalar which turns out to have universal features. The probability density function of the scalar increments and their structure functions come out in nice agreement with theoretical predictions.
引用
收藏
页数:4
相关论文
共 27 条
[1]   Polymers in 2D turbulence: Suppression of large scale fluctuations [J].
Amarouchene, Y ;
Kellay, H .
PHYSICAL REVIEW LETTERS, 2002, 89 (10) :104502-104502
[3]   Direct numerical simulations of passive scalars with Pr>1 advected by turbulent flow [J].
Bogucki, D ;
Domaradzki, JA ;
Yeung, PK .
JOURNAL OF FLUID MECHANICS, 1997, 343 :111-130
[4]   THEORY OF HYDRODYNAMIC CONVECTION IN SOAP FILMS [J].
BRUINSMA, R .
PHYSICA A, 1995, 216 (1-2) :59-76
[5]   The viscous-convective subrange in nonstationary turbulence [J].
Chasnov, JR .
PHYSICS OF FLUIDS, 1998, 10 (05) :1191-1205
[6]   STATISTICS OF A PASSIVE SCALAR ADVECTED BY A LARGE-SCALE 2-DIMENSIONAL VELOCITY-FIELD - ANALYTIC SOLUTION [J].
CHERTKOV, M ;
FALKOVICH, G ;
KOLOKOLOV, I ;
LEBEDEV, V .
PHYSICAL REVIEW E, 1995, 51 (06) :5609-5627
[7]   Particles and fields in fluid turbulence [J].
Falkovich, G ;
Gawedzki, K ;
Vergassola, M .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :913-975
[8]   UNIVERSAL DIRECT CASCADE IN 2-DIMENSIONAL TURBULENCE [J].
FALKOVICH, G ;
LEBEDEV, V .
PHYSICAL REVIEW E, 1994, 50 (05) :3883-3899
[9]   EVOLUTION OF SCALAR SPECTRA WITH THE DECAY OF TURBULENCE IN A STRATIFIED FLUID [J].
GARGETT, AE .
JOURNAL OF FLUID MECHANICS, 1985, 159 (OCT) :379-407
[10]   THE UNIVERSAL EQUILIBRIUM SPECTRA OF TURBULENT VELOCITY AND SCALAR FIELDS [J].
GIBSON, CH ;
SCHWARZ, WH .
JOURNAL OF FLUID MECHANICS, 1963, 16 (03) :365-+