Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli  

在同心和偏心圆环中有屈服应力的黏塑性流体流动的模型和数值模拟(英文)

作　　者：毛在砂 杨超 Vassilios C.Kelessidis 

机构地区：[1]Key Laboratory of Green Process and Engineering,Institute of Process Engineering,Chinese Academy of Sciences [2]Mineral Resources Engineering Department,Technical University of Crete,Greece

出　　处：《Chinese Journal of Chemical Engineering》2012年第1期191-202,共12页中国化学工程学报（英文版）

基　　金：Supported by the State Key Development Program for Basic Research of China (2009CB623406);the National Natural Science Foundation of China (20990224,11172299);the National Science Fund for Distinguished Young Scholars (21025627)

摘　　要：Numerical solution of yield viscoplastic fluid flow is hindered by the singularity inherent to the Herschel-Bulkley model. A finite difference method over the boundary-fitted orthogonal coordinate system is util- ized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli. The fluid rheology is described with the Herschel-Bulkley model. The numerical simulation based on a continuous viscoplastic approach to the Herschel-Bulkley model is found in poor accordance with the experimental data on volumetric flow rate of a bentonite suspension. A strict mathematical model for Herschel-Bulkley fluid flow is established and the corresponding numerical procedures are proposed. However, only the case of flow of a Herschel-Bulkley fluid in a concentric annulus is resolved based on the presumed flow stnicture by using the common optimization technique. Possible flow structures in an eccentric afinulus are presumed, and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.Numerical solution of yield viscoplastic fluid flow is hindered by the singularity inherent to the Herschel-Bulkley model.A finite difference method over the boundary-fitted orthogonal coordinate system is util-ized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli.The fluid rheology is described with the Herschel-Bulkley model.The numerical simulation based on a continuous viscoplastic approach to the Herschel-Bulkley model is found in poor accordance with the experimental data on volumetric flow rate of a bentonite suspension.A strict mathematical model for Herschel-Bulkley fluid flow is established and the corresponding numerical procedures are proposed.However,only the case of flow of a Herschel-Bulkley fluid in a concentric annulus is resolved based on the presumed flow structure by using the common optimization technique.Possible flow structures in an eccentric annulus are pre-sumed,and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.

关 键 词：yield viscoplastic fluid Herschel-Bulkley model non-Newtonian fluid flow ANNULUS mathematical model 

分 类 号：TQ021.1[化学工程]