A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (3): 275-282.

A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS

顾国庆¹, 余建华²

1. School of Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200092, P.R.China;
2. Physics Department, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, P.R.China

收稿日期:1998-10-06 修回日期:1999-11-08 出版日期:2000-03-18 发布日期:2000-03-18
通讯作者: Dai Shiqiang
基金资助:
the National Natural Science Foundation of China (19834070)

A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS

Gu Guoqing¹, Yu Kin-wah ²

1. School of Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200092, P.R.China;
2. Physics Department, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, P.R.China

Received:1998-10-06 Revised:1999-11-08 Online:2000-03-18 Published:2000-03-18
Supported by:
the National Natural Science Foundation of China (19834070)

摘要/Abstract

摘要： Colloidal dispersions are common in nature with wide industrial applications. One of the central theoretical problems in the field is to determine the rheological properties of the colloidal dispersion from the microstructures of the systems. Because of the difficulties associated with the boundary-value problems of the many-particle system, existing theories for colloidal suspensions are limited to low particle concentrations. In this work, a method of transformation field is developed by which one can calculate the effective viscosity of an incompressible viscous fluid containing colloidal particles (either solid particles or liquid drops). The predictions of our theory are in good agreement with the Einstein’s formula for suspensions and the Taylor’s formula for emulsions at low particle concentrations. At higher particle concentrations, the results of Nunan and Keller are produced. The method is also applicable to the viscosity of colloidal systems with non-spherical particles.

Abstract: Colloidal dispersions are common in nature with wide industrial applications. One of the central theoretical problems in the field is to determine the rheological properties of the colloidal dispersion from the microstructures of the systems. Because of the difficulties associated with the boundary-value problems of the many-particle system, existing theories for colloidal suspensions are limited to low particle concentrations. In this work, a method of transformation field is developed by which one can calculate the effective viscosity of an incompressible viscous fluid containing colloidal particles (either solid particles or liquid drops). The predictions of our theory are in good agreement with the Einstein’s formula for suspensions and the Taylor’s formula for emulsions at low particle concentrations. At higher particle concentrations, the results of Nunan and Keller are produced. The method is also applicable to the viscosity of colloidal systems with non-spherical particles.

中图分类号:

O359

顾国庆;余建华. A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(3): 275-282.

Gu Guoqing;Yu Kin-wah . A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(3): 275-282.

参考文献

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A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS

A THEORETICAL RESEARCH TO EFFECTIVE VISCOSITY OF COLLOIDAL DISPERSIONS

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