外场作用下多组分质量传递Maxwell-Stefan方程及其应用:电场作用下球形颗粒中的扩散  

Maxwell-Stefan equation of multicomponent mass transfer under influence of external field and its application:diffusion in spherical particle enhanced by electric field

作　　者：韩光泽[1] 杜尚永[1] 陈明东[2] 

机构地区：[1]华南理工大学物理系,广东广州510640 [2]华南理工大学广州学院,广东广州510800

出　　处：《化工学报》2012年第2期416-423,共8页CIESC Journal

基　　金：广东省自然科学基金项目(S2011010000739);广东省科技计划项目(2010B050300007)~~

摘　　要：Fick扩散定律只能用于没有外场作用下的二组分扩散过程,Maxwell-Stefan(MS)方程适用于外场作用下多组分系统中的质量传递过程。阐述了MS方程的物理意义,并由此将外场作用下普遍化MS方程的表达式改写为清晰且易于使用的形式。给出了在MS方程中常用的外场作用力的数学形式。Fick扩散定律是MS方程在没有外场作用下对二元理想流体扩散的应用;MS方程对离心分离和电解质扩散等过程的描述比传统的描述方法更全面。利用MS方程导出了欧姆定律,利用该结论可以通过测量电导率计算带电粒子的扩散系数。利用MS方程研究了电场作用下球形颗粒中的扩散过程,结果表明,该方程可以对电场强化质量传递过程给出有效描述。MS方程为外场作用下的质量传递过程提供了一种有效的理论研究方法。Fick＇s law of diffusion is only valid for the description of an ideal binary diffusion without external force,while the Maxwell-Stefan（MS） equation can be applied to multicomponent mass transfer under the influence of external field.In this study,the physical meaning of MS equation is clearly explained,and the generalized expression of MS equation is rewritten to a form that is simpler and easier for use.The expressions of the external forces that can be used in the equation are given.Fick＇s law of diffusion is a special form of MS equation applied to the mass diffusion in ideal binary fluid without external force.The application results of MS equation to centrifugal separation and electrolyte diffusion are consistent with those from traditional descriptions,but more comprehensive.The application of MS equation to electric conduction leading to Ohm＇s law provides a new method to get diffusivity through the measurement of conductivity.The characteristics of mass transfer in spherical particles enhanced by electric field investigated with MS equation show that MS equation provides an effective theoretical method to study the mass transfer enhanced by external fields.

关 键 词：MAXWELL-STEFAN方程 多组分质量传递 外场强化传质 

分 类 号：TQ021.4[化学工程]