ON THE DISPERSION OF A SOLUTE IN A FLUID FLOWING THROUGH A TUBE
ON THE DISPERSION OF A SOLUTE IN A FLUID FLOWING THROUGH A TUBE
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DOI：
10.1098/rspa.1956.0065
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发表时间：
1956-01-01
影响因子：
--
通讯作者：
ARIS, R
中科院分区：
文献类型：
--
作者：
ARIS, R
杰弗里·泰勒爵士最近讨论了在分子扩散和溶剂速度变化同时作用下的溶质分散。他的分析的一个新的基础是在这里提出的，它消除了限制施加在一些参数的代价描述溶质的分布在其时刻在流动方向。结果表明，方差的增长率正比于分子扩散系数D和泰勒扩散系数Ka ~ 2U ~ 2/D之和，其中U为平均速度，U为管截面的量纲特征。在最一般的情况下，给出了一个表达式fork，并证明了溶质的有限分布趋于正态分布。
Sir Geoffrey Taylor has recently discussed the dispersion of a solute under the simultaneous action of molecular diffusion and variation of the velocity of the solvent. A new basis for his analysis is presented here which removes the restrictions imposed on some of the parameters at the expense of describing the distribution of solute in terms of its moments in the direction of flow. It is shown that the rate of growth of the variance is proportional to the sum of the molecular diffusion coefficient,D, and the Taylor diffusion coefficientKa2U2/D, whereUis the mean velocity andais a dimension characteristic of the cross-section of the tube. An expression forkis given in the most general case, and it is shown that a finite distribution of solute tends to become normally distributed.