LOG-SIMILARITY FOR TURBULENT FLOWS

被引:103
作者
CASTAING, B [1 ]
GAGNE, Y [1 ]
MARCHAND, M [1 ]
机构
[1] UJF, INPG, INST MECAN GRENOBLE, CNRS, LEGI, F-38041 GRENOBLE, FRANCE
关键词
D O I
10.1016/0167-2789(93)90132-K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We critically examine a recently proposed representation for turbulent energy spectra (called here log-similarity) which is predicted both by the multifractal model and the variational approach of the small scale intermittency. Within this representation, spectra are homothetic in the log-log plot, the homothety factor depending on the Taylor scale based Reynolds number R(lambda). Experimental results on energy spectra and velocity structure functions of order 2, 3 and 6 measured in different flows at several R(lambda) show that this factor is beta(R(lambda)), a measurable exponent which characterises intermittency in the inertial range. Experimentally, beta displays the existence of a transition in the neighbourhood of R(lambda) congruent-to 400 and for R(lambda) tending to infinity, beta behaves as 1/ln(R(lambda)/R*).
引用
收藏
页码:387 / 400
页数:14
相关论文
共 34 条
  • [1] HIGH-ORDER VELOCITY STRUCTURE FUNCTIONS IN TURBULENT SHEAR FLOWS
    ANSELMET, F
    GAGNE, Y
    HOPFINGER, EJ
    ANTONIA, RA
    [J]. JOURNAL OF FLUID MECHANICS, 1984, 140 (MAR) : 63 - 89
  • [2] STATISTICS OF FINE-SCALE VELOCITY IN TURBULENT PLANE AND CIRCULAR JETS
    ANTONIA, RA
    SATYAPRAKASH, BR
    HUSSAIN, AKMF
    [J]. JOURNAL OF FLUID MECHANICS, 1982, 119 (JUN) : 55 - 89
  • [3] MULTIFRACTALITY IN THE STATISTICS OF THE VELOCITY-GRADIENTS IN TURBULENCE
    BENZI, R
    BIFERALE, L
    PALADIN, G
    VULPIANI, A
    VERGASSOLA, M
    [J]. PHYSICAL REVIEW LETTERS, 1991, 67 (17) : 2299 - 2302
  • [4] VELOCITY PROBABILITY DENSITY-FUNCTIONS OF HIGH REYNOLDS-NUMBER TURBULENCE
    CASTAING, B
    GAGNE, Y
    HOPFINGER, EJ
    [J]. PHYSICA D, 1990, 46 (02): : 177 - 200
  • [5] EFFECT OF DISSIPATION FLUCTUATIONS ON ANOMALOUS VELOCITY SCALING IN TURBULENCE
    EGGERS, J
    GROSSMANN, S
    [J]. PHYSICAL REVIEW A, 1992, 45 (04) : 2360 - 2369
  • [6] FAUVE S, 1992, IN PRESS J PHYS PARI
  • [7] A PREDICTION OF THE MULTIFRACTAL MODEL - THE INTERMEDIATE DISSIPATION RANGE
    FRISCH, U
    VERGASSOLA, M
    [J]. EUROPHYSICS LETTERS, 1991, 14 (05): : 439 - 444
  • [8] FRISCH U, 1992, TURBULENCE STOCHASTI, P89
  • [9] GAGNE Y, 1991, CR ACAD SCI II, V312, P441
  • [10] GAGNE Y, 1991, ADV TURBULENCE, V3