Taylor diffusion in time-dependent flow

被引：9
作者：
Azer, K
机构：
[1] Merck & Co Inc, Rahway, NJ 07065 USA
[2] Courant Inst Math Sci, ACSM Dept, Rahway, NJ 07065 USA
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2005年 / 48卷 / 13期
关键词：
Taylor diffusion; time-dependent flow; MRI; asymptotic analysis; convection-diffusion;
D O I：
10.1016/j.ijheatmasstransfer.2005.02.007
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this paper, we consider the problem of calculating the axial concentration profile of a solute transported by a time-dependent flow in a rigid straight pipe. This generalizes the result that Taylor derived in 1953 for calculating the axial concentration profile of a solute in a steady flow. Using asymptotic analysis, we derive a time-dependent diffusion equation for the mean concentration profile along the axial-direction in a pipe. In the special case of time-independent flow, our result reduces to that of Taylor. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2735 / 2740
页数：6
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