Approach to transverse uniformity of concentration distribution of a   solute in a solvent flowing along a straight pipe

doi:10.1017/jfm.2013.648

CORC > 北京大学 > 工学院

	Approach to transverse uniformity of concentration distribution of a solute in a solvent flowing along a straight pipe
	Wu, Zi ; Chen, G. Q.
刊名	journal of fluid mechanics
	2014
关键词	geophysical and geological flows mixing and dispersion OPEN-CHANNEL FLOW ENVIRONMENTAL DISPERSION OSCILLATORY FLOWS SHEAR DISPERSION TAYLOR DISPERSION POISEUILLE FLOW WETLAND STEADY TUBE DIFFUSION
DOI	10.1017/jfm.2013.648
英文摘要	Associated with Taylor's classical analysis of scalar solute dispersion in the laminar flow of a solvent in a straight pipe, this work explores the approach towards transverse uniformity of concentration distribution. Mei's homogenization technique is extended to find solutions for the concentration transport. Chatwin's result for the approach to longitudinal normality is recovered in terms of the mean concentration over the cross-section. The asymmetrical structure of the concentration cloud and the transverse variation of the concentration distribution are concretely illustrated for the initial stage. The rate of approach to uniformity is shown to be much slower than that to normality. When the longitudinal normality of mean concentration is well established, the maximum transverse concentration difference remains near one-half of the centroid concentration of the cloud. A time scale up to 10R(2)/D (R is the radius of the pipe and D is the molecular diffusivity) is suggested to characterize the transition to transverse uniformity, in contrast to the time scale of 0.1R(2)/D estimated by Taylor for the initial stage of dispersion, and that of 1.0R(2)/D by Chatwin for longitudinal normality.; Mechanics; Physics, Fluids & Plasmas; SCI(E); EI; 10; ARTICLE; gqchen@pku.edu.cn; 196-213; 740
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/390220]
专题	工学院
推荐引用方式 GB/T 7714	Wu, Zi,Chen, G. Q.. Approach to transverse uniformity of concentration distribution of a solute in a solvent flowing along a straight pipe[J]. journal of fluid mechanics,2014.
APA	Wu, Zi,&Chen, G. Q..(2014).Approach to transverse uniformity of concentration distribution of a solute in a solvent flowing along a straight pipe.journal of fluid mechanics.
MLA	Wu, Zi,et al."Approach to transverse uniformity of concentration distribution of a solute in a solvent flowing along a straight pipe".journal of fluid mechanics (2014).