胶体有效粘滞系数的理论研究

顾国庆; 余建华

胶体有效粘滞系数的理论研究

顾国庆¹,
余建华²

1.
上海理工大学计算机工程学院, 上海 200093;
2.
香港中文大学物理系, 香港新界沙田

基金项目: 国家自然科学基金项目(19834070)

详细信息

作者简介:
顾国庆(1949～ ),男,博士,研究员.

中图分类号: O359
计量
- 文章访问数: 2055
- HTML全文浏览量: 84
- PDF下载量: 607
- 被引次数: 0
出版历程
- 收稿日期: 1998-10-06
- 修回日期: 1999-11-08
- 刊出日期: 2000-03-15

A Theoretical Research to Effective Viscosity of Colloidal Dispersions

Gu Guoqing¹,
Yu Kinwah²

1.
School of Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200091, P R China;
2.
Physics Department, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong

摘要

摘要: 胶体是自然界和工业应用中的常见对象。胶体领域的一个中心理论问题是如何根据胶体系统的微结构来确定胶体的流变性质。由于处理多粒子系统边值问题的困难,现有的胶体理论都局限于低颗粒浓度。该文中发展了变换场方法,用该方法可以计算含胶体颗粒的不可压缩粘滞流体的有效粘滞系数,颗粒可以是固体也可以是流体。在低颗粒浓度,该理论预测与爱因斯坦关于悬浮体的公式以及Taylor关于乳浊液的公式完全吻合。在高颗粒浓度,该文的结果与Nunan和Keller的结果相一致,其方法可以用于预测非球形颗粒悬浮体的有效粘滞系数。
- 多相流 /
- 胶体 /
- 悬浮体 /
- 乳浊液
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, we develop 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.
- multiphase flow /
- colloidal dispersion /
- suspension /
- emulsion

HTML全文

参考文献(15)

[1]	Batchelor G K.Brownian diffusion of particles with hydrodynamic interaction[J].J Fluid Mech,1976,74(1):1～29.
[2]	顾国庆,陶瑞宝.周期性悬浮体有效粘滞率的第一性原理研究[J].中国科学(A辑),1989(5):495～501.
[3]	Chow T S.Viscosities of concentrated dispersions[J].Phys Rev,1993,E48(3):1977～1983.
[4]	Taylor G I.The viscosity of a fluid containing small drops of another fluid[J].Proc Roy Soc,1931,A138(1):41～48.
[5]	Einstein A.Eine neue bestimmung der moleküldimensionen annln [J].Phys.(Leipaig),1906,19:289～306.
[6]	Mellema J, Willemse M W M.Effective viscosity of dispersions approached by a statistical continuum method[J].Physica,1981,122A(1～2):286～312.
[7]	Batchelor G K, Green J T.The determination of the bulk stress in a suspension of spherical particles to order c2[J].J Fluid Mech,1972,56(3):401～427.
[8]	Pererson J M, Fixman M.Viscosity of polymer solutions[J].J Chem Phys,1963,39:2516.
[9]	Takashi Nagatani, Statistical theory of effective viscosity in a random suspension[J].J Phys Soc Jpn,1979,47(1):320～326.
[10]	Mazur P, Van W.Saarloos Many-sphere hydrodynamic interactions and mobilities in a suspension[J].Plysica,1982,115A(1):21～57.
[11]	Lord Rayleigh.On the influence of obstacle arrayed in rectangular order upon the properties of a medium[J].Philos Mag,1892,34:481～502.
[12]	Nunan K C, Keller J B.Effective viscosity of a periodic suspension[J].J Fluid Mech,1984,142(1):269～289.
[13]	Nemat Nasser S, Taya M.On effective moduli of an elastic body containuing periodically distributed void[J].Q Appl Math,1981,39(1):43～59.
[14]	顾国庆,陶瑞宝.A new method for evaluating the dceffective conductivities of composites with periodic structure [J].Phys Rev,1988,B37(15):8612～8617.
[15]	Bedeaux D, Kappal R, Mazur P.The effective shear viscosity of a uniform suspension of spheres [J].Physica,1977,88A(1):88～121.