Velocity fluctuations in a turbulent soap film: The third moment in two dimensions

被引:43
作者
Belmonte, A
Goldburg, WI
Kellay, H
Rutgers, MA
Martin, B
Wu, XL
机构
[1] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA
[2] Univ Bordeaux 1, CPMOH, F-33405 Talence, France
[3] Ohio State Univ, Dept Phys, Columbus, OH 43210 USA
关键词
D O I
10.1063/1.869891
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Quasi-two-dimensional decaying turbulence is studied in a flowing soap film by measuring the moments of the probability density function P(delta upsilon(r)) for the longitudinal velocity differences delta upsilon(r) on a scale r. As in three-dimensional (3-D) turbulence. P becomes non-Gaussian with decreasing r. The third moment S-3(r)=[(delta upsilon(r))(3)] is small and negative at small scales, but becomes positive at larger scales. The exact calculation of S-3(r) for 2-D homogeneous isotropic turbulence relates this change in sign to the development of the velocity correlation function as the turbulence decays. (C) 1999 American Institute of Physics. [S1070-6631(99)01905-4].
引用
收藏
页码:1196 / 1200
页数:5
相关论文
共 41 条
[21]  
Isenberg C., 1992, SCI SOAP FILMS SOAP
[22]   Vorticity measurements in turbulent soap films [J].
Kellay, H ;
Wu, XL ;
Goldburg, WI .
PHYSICAL REVIEW LETTERS, 1998, 80 (02) :277-280
[23]   EXPERIMENTS WITH TURBULENT SOAP FILMS [J].
KELLAY, H ;
WU, XL ;
GOLDBURG, WI .
PHYSICAL REVIEW LETTERS, 1995, 74 (20) :3975-3978
[24]   THE LOCAL-STRUCTURE OF TURBULENCE IN INCOMPRESSIBLE VISCOUS-FLUID FOR VERY LARGE REYNOLDS-NUMBERS [J].
KOLMOGOROV, AN .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 434 (1890) :9-13
[25]  
Kolmogoroff AN, 1941, CR ACAD SCI URSS, V32, P16
[26]   INERTIAL RANGES IN 2-DIMENSIONAL TURBULENCE [J].
KRAICHNAN, RH .
PHYSICS OF FLUIDS, 1967, 10 (07) :1417-+
[27]  
Lesieur M., 1990, TURBULENCE FLUIDS
[28]  
LNADAU LD, 1959, FLUID MECH
[29]   Shear flow in a two-dimensional Couette cell: A technique for measuring the viscosity of free-standing liquid films [J].
Martin, B ;
Wu, XI .
REVIEW OF SCIENTIFIC INSTRUMENTS, 1995, 66 (12) :5603-5608
[30]   Spectra of decaying turbulence in a soap film [J].
Martin, BK ;
Wu, XL ;
Goldburg, WI ;
Rutgers, MA .
PHYSICAL REVIEW LETTERS, 1998, 80 (18) :3964-3967