溶质在作圆管层流的牛顿-Casson两层流体中的分散及外围层效应

Dispersion of Soluble Matters in Newtonian -Casson Laminar Flow Through a Circular Tube and Effects of the Peripheral Layer

本文考察溶质在作圆管层流的牛顿-Casson两层流体中的分散规律,同时考察了外围层效应和屈服应力效应。利用Taylor简化假定,在一定边界条件下,导出相对浓度分布和等效扩散系数的解析式,作出相应讨论。分析和计算了外围层诸因素ε(相对粘度)、(相对分子扩散系数)和δ(相对厚度)以及Casson流体屈服应力fc对分散影响的效应。单层Casson流体和两层牛顿流体中的分散可视为本文的特殊情形。

The paper deals with the dispersion laws of soluble matters in the Newtonian-Casson two-layer fluid through a circular tube and the stress on the effects of peripheral layer and the yield stress of the Cas-son fluid. The analytical expressions of the relative concentration distribution and the effective diffusion coefficient are derived under Taylor's simplified assumptions and certain boundary conditions. It should be noted that the dispersion problems in the two-layer Newtonian fluid and the single-layer Casson fluid may be considered as particular cases of this paper.