Transverse concentration distribution in Taylor dispersion: Gill&apos;s   method of series expansion supported by concentration moments

doi:10.1016/j.ijheatmasstransfer.2015.11.091

CORC > 北京大学 > 工学院

	Transverse concentration distribution in Taylor dispersion: Gill's method of series expansion supported by concentration moments
	Wang, Ping ; Chen, G. Q.
刊名	INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
	2016
关键词	Taylor dispersion Transverse concentration distribution Series expansion Initial transition OPEN-CHANNEL FLOW UNSTEADY CONVECTIVE DIFFUSION ENVIRONMENTAL DISPERSION SHEAR DISPERSION SOLUTE-DISPERSION SORPTIVE EXCHANGE STRAIGHT PIPE LAMINAR-FLOW WETLAND FLOW FREE-SURFACE
DOI	10.1016/j.ijheatmasstransfer.2015.11.091
英文摘要	Presented in this paper is an analytical study of initial transition of the transverse concentration distribution in Taylor dispersion in a laminar tube flow. Gill's method of series expansion originally for the solution of the cross-sectional mean concentration is rigorously developed to obtain the transverse concentration distribution. Existing result by homogenization technique is analytically recovered as the special asymptotic expression of the finding by the present series expansion. With the mean concentration given by a Hermite polynomial based on the first four concentration moments to fully reflect the skewness and kurtosis, fourth-order series expansions are performed with sound convergence to detail the initial transition of the transverse distribution. Due to the velocity non-uniformity, the distribution of the transverse concentration in the central cross-section of the cloud appears as a "saddle" and attenuates gradually with the contribution of diffusion but does not disappear even at large time. The transition in transverse distribution is confirmed as one order of magnitude slower than that to longitudinal normality. (C) 2015 Elsevier Ltd. All rights reserved.; National Natural Science Foundation of China [51579004, 11272012]; State Key Program for Basic Research of China (973 Program) [2013CB430402]; SCI(E); EI; ARTICLE; wangping@pku.edu.cn; gichen@pku.edu.cn; 131-141; 95
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/437489]
专题	工学院
推荐引用方式 GB/T 7714	Wang, Ping,Chen, G. Q.. Transverse concentration distribution in Taylor dispersion: Gill's method of series expansion supported by concentration moments[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2016.
APA	Wang, Ping,&Chen, G. Q..(2016).Transverse concentration distribution in Taylor dispersion: Gill's method of series expansion supported by concentration moments.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER.
MLA	Wang, Ping,et al."Transverse concentration distribution in Taylor dispersion: Gill's method of series expansion supported by concentration moments".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2016).