黏弹性复杂流动的微观-宏观确定性模拟  

Micro-macro method for deterministic simulation of viscoelastic complex flow

作　　者：阮春蕾[1] 欧阳洁[1] 刘德峰[1] 张红平[1] 赵智峰[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《化工学报》2008年第12期3050-3054,共5页CIESC Journal

基　　金：国家自然科学基金重大项目(10590353) ;国家重点基础研究发展计划项目(2005CB321704)~~

摘　　要：Deterministic simulation approach was applied to simulating viscoelastic complex flows,in which,the SIMPLE algorithm based on collocated grid was used to solve the conservation equations on the macroscopic level and the spectral method was used to solve the Fokker-Planck equation on the mesoscopic level.Here,the transient 4∶1 planar contraction flow for dilute polymer solution was computed by using the coupled technique and the calculated polymeric stress distributions at steady state were identical with the results of continuum approach as well as the corresponding references.Therefore,the presented results indicated that the SIMPLE algorithm based on collocated grid coupled with the spectral method can be used to simulate viscoelastic complex flows effectively.Moreover,the influence of Deborah number and viscosity ratio on polymeric stress was also investigated.Deterministic simulation approach was which, the SIMPLE algorithm based on collocated applied to simulating viscoelastic complex flows, in grid was used to solve the conservation equations on the macroscopic level and the spectral method was used to solve the Fokker-Planck equation on the mesoscopic level. Here, the transient 4 ： 1 planar contraction flow for dilute polymer solution was computed by using the coupled technique and the calculated polymeric stress distributions at steady state were identical with the results of continuum approach as well as the corresponding references. Therefore, the presented results indicated that the SIMPLE algorithm based on collocated grid coupled with the spectral method can be used to simulate viscoelastic complex flows effectively. Moreover, the influence of Deborah number and viscosity ratio on polymeric stress was also investigated.

关 键 词：黏弹性流体 FOKKER-PLANCK方程 微观-宏观模拟 FENE哑铃 收缩流动 

分 类 号：TQ02[化学工程] TQ31