Scaling in three-dimensional and quasi-two-dimensional rotating   turbulent flows

doi:10.1063/1.1577120

CORC > 北京大学 > 工学院

	Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows
	Baroud, CN ; Plapp, BB ; Swinney, HL ; She, ZS
刊名	physics of fluids
	2003
关键词	EXTENDED SELF-SIMILARITY INVERSE ENERGY CASCADE 2-DIMENSIONAL TURBULENCE REYNOLDS-NUMBER VORTEX SIMULATION SOAP FILM INTERMITTENCY HYPOTHESIS DYNAMICS
DOI	10.1063/1.1577120
英文摘要	We have made velocity time series measurements (using hot film probes) and velocity field measurements (using particle image velocimetry) on turbulent flow in a rotating annulus. For low annulus rotation rates the Rossby number was of order unity and the flow was three-dimensional (3D), but at high rotation rates the Rossby number was only about 0.1, comparable to the value for oceans and the atmosphere on large length scales. The low Rossby number (quasi-geostrophic) flow was nearly two-dimensional (2D), as expected from the Taylor-Proudman theorem. For the 3D flow we found that the probability distribution function (PDF) for velocity differences along the direction of the flow, deltav(d)=v(x(0)+d)-v(x(0)), was Gaussian for large separations d and non-Gaussian (with exponential tails) for small d, as has been found for nonrotating turbulent flows. However, for low Rossby number flow, the PDF was self-similar (independent of d) and non-Gaussian. The exponents characterizing the structure functions, S-p=[(deltav)(p)]similar tod(p)(zeta) were obtained by the extended self-similarity method. For 3D flow the exponents departed from p/3 with increasing p, as has been found for turbulence in nonrotating flows, while for the quasi-2D turbulent flow, the exponents increased linearly with p, as expected for a self-similar flow. We applied the beta-test of the hierarchical structure model [She and Leveque, Phys. Rev. Lett. 72, 336 (1994)] and found that beta remained constant at betasimilar or equal to0.75 as the rotation was increased from the 3D to the 2D regime; this indicates that both the quasi-2D and 3D flows are highly intermittent. The PIV images provided another indication of the intermittency-both the quasi-2D and 3D flows had coherent vortices which could be distinguished from the background flow. We also applied the gamma-test of the hierarchical structure model and found that gamma increased from 0.18 for the 3D flow to 0.34 for the quasi-2D flow; the latter value is in accord with expectation for self-similar turbulence. We conclude that our rotating 3D flow is similar to nonrotating turbulent flows, while the rotating quasi-2D turbulence is different from both the 3D rotating turbulence and from nonrotating 2D turbulence studied in other experiments. (C) 2003 American Institute of Physics.; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; 61; ARTICLE; 8; 2091-2104; 15
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/256422]
专题	工学院
推荐引用方式 GB/T 7714	Baroud, CN,Plapp, BB,Swinney, HL,et al. Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows[J]. physics of fluids,2003.
APA	Baroud, CN,Plapp, BB,Swinney, HL,&She, ZS.(2003).Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows.physics of fluids.
MLA	Baroud, CN,et al."Scaling in three-dimensional and quasi-two-dimensional rotating turbulent flows".physics of fluids (2003).