弥散问题中双极、外围层和化学反应的综合效应  

The Synthetic Effects of Dipolarity,Peripheral Layer and Chemical Reaction in Dispersion Problems

作　　者：陆章基[1,2] 郑广平[1,2] 沈宇 

机构地区：[1]复旦大学 [2]华东师范大学

出　　处：《复旦学报（自然科学版）》1999年第2期159-165,共7页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金;上海市科委基金

摘　　要：综合研究溶质在作圆管层流的牛顿－双极流体中弥散问题的三种效应——双极效应、外围层效应和化学反应效应．在Ｔａｙｌｏｒ简化假定下，获得速度、浓度和等效扩散系数的解析表达式，并作相应的数值计算．主要结果：（１）双极参数λ，Ｈ以及化学反应率α对于等效扩散量Ｍ的影响，在有外围层和无外围层两种情形下出现截然相反的趋势；（２）各类流体的弥散问题均可视为本文的特例：牛顿－牛顿、牛顿－双极、双极（无化学反应）、双极（有化学反应）流体；（３）当α＝０，Ｍｚ＝０时，牛顿－双极、牛顿－偶应力、牛顿－微极流体的速度、浓度和等效扩散系数的表达式。In the paper,three effects,i.e.effects of dipolar,effects of peripheral layer and effects of chemical reaction,which appear in the dispersion problems of Newton dipolar fluid flowing through a circular tube,are investigated synthetically.The analytical expressions of velocity,concentration and the equivalent diffusion parameter are obtained under the Taylor's simplified assumption.Also,the numerical computations are performed.The main results are as follows:(1) the influences of the dipolar parameters λ,H and the chemical reaction rate α to the equivalent diffusion parameter M appear the opposite trend in the two cases with and without the peripheral layer;(2) The dispersion problems in various fluids,such as Newton newtonian, Newton dipolar,dipolar(without chemical reaction) and dipolar(with chemical reaction) fluid are all considered as particular cases of this paper;(3) when α=0 and M z=0,the expressions of velocity,concentration and the equivalent diffusion parameter between the Newton dipolar,the Newton couple stress and the Newton micropolar fluids are just the same each other when doing some simple,proper substitutions.

关 键 词：双极流体 外围层效应 化学反应效应 弥散问题 

分 类 号：O373[理学—流体力学] O643.1[理学—力学]