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

Chinese Journal of Chemical Engineering ›› 2012, Vol. 20 ›› Issue (1): 191-202.

• • 上一篇

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

毛在砂¹, 杨超¹, Vassilios C. Kelessidis²

1. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2. Mineral Resources Engineering Department, Technical University of Crete, Greece

收稿日期:2011-10-31 修回日期:2011-12-19 出版日期:2012-02-28 发布日期:2012-05-03
基金资助:
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)

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

MAO Zaisha¹, YANG Chao¹, Vassilios C. Kelessidis²

1. Key Laboratory of Green Process and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China;
2. Mineral Resources Engineering Department, Technical University of Crete, Greece

Received:2011-10-31 Revised:2011-12-19 Online:2012-02-28 Published:2012-05-03
Supported by:
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/Abstract

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 utilized 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 presumed,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

Abstract: 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 utilized 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 presumed,and further challenges in numerical simulation of the Herschel-Bulkley fluid flow are suggested.

Key words: yield viscoplastic fluid, Herschel-Bulkley model, non-Newtonian fluid flow, annulus, mathematical model

中图分类号:

TQ021.1

毛在砂, 杨超, Vassilios C. Kelessidis. Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli[J]. Chinese Journal of Chemical Engineering, 2012, 20(1): 191-202.

MAO Zaisha, YANG Chao, Vassilios C. Kelessidis. Modeling and Numerical Simulation of Yield Viscoplastic Fluid Flow in Concentric and Eccentric Annuli[J]. Chin.J.Chem.Eng., 2012, 20(1): 191-202.

参考文献

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

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

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