存在滑移时两圆球间的幂律流体挤压流动

黄文彬; 徐泳; 练国平; 李红艳

存在滑移时两圆球间的幂律流体挤压流动

1.
中国农业大学, 工程基础科学部, 北京, 100083;
2.
英国联合利, 华研究中心, 科尔沃什实验室, 山布鲁克, 贝德福德

基金项目: 国家自然科学基金资助项目(19972075);联合利华(Unilever PLC)资助项目

详细信息

作者简介:
黄文彬(1934- ),男,福建福州人,教授.(E-mail:mech@east.cau.edu.cn)

中图分类号: O347.7;O373
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- 文章访问数: 2514
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- 被引次数: 0
出版历程
- 收稿日期: 2001-10-09
- 修回日期: 2002-03-28
- 刊出日期: 2002-07-15

Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip

1.
Department of Engineering Sciences, China Agricultural University, Beijing 100083, P R China;
2.
Unilever Research Colworth Laboratory, Sharnbrook, Bedford MK44 1LQ, UK

摘要

摘要: 基于Reynolds润滑理论分析了壁面滑移对任意圆球颗粒间幂律流体的挤压流动的影响。研究表明有壁面滑移时挤压流动的粘性力可通过引进本文定义的滑移修正系数分离出无滑移解。推导出的挤压力滑移修正系数是一积分表达式,依赖于滑移参数、幂律指数、球间隙和积分上限。一般地壁面滑移导致粘性力减小,粘性力的减小量随幂律指数的增大而增大,表明壁面滑移对剪切增稠流变材料有更大的影响;粘性力的减小量还随着滑移参数的增大而增加,而这恰与假设相符合;粘性力的减小量又随球间隙减小或积分上限的增大(从液桥情况到完全浸渍)而减小直到趋于常数,这一特性在离散元模拟时可以有效地减少计算量。
- 润滑 /
- 幂律流体 /
- 挤压流动 /
- 粘性力 /
- 壁面滑移 /
- 离散元法
Abstract: The effect of wall slip on the squeeze flow of a power-law fluid between two rigid spherical particles has been examined based on the Reynolds lubrication theory. It is shown that the viscous force arising from the squeeze flow with wall slip may be resolved to the no-slip solution by introducing a slip correction coefficient. An expression for the slip correction coefficient of force is derived which is related to the slip parameter, the flow index and the upper limit of integration. Generally, wall slip results in a reduction in the viscous force. The reduction in the viscous force increases as the flow index increases, suggesting that wall slip has a more profound effect on shear thickening material. However, such reduction decreases as the upper limit of integration increases from finite liquid bridges to fully immersed systems. The reduction in the viscous force also increases as the slip parameter increases, which is the expected behaviour.
- lubrication /
- power-law fluid /
- squeeze flow /
- viscous force /
- wall slip /

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参考文献(17)

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