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存在滑移时两圆球间的幂律流体挤压流动
引用本文: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[J].应用数学和力学,2002,7(7):722-728.
作者姓名:黄文彬  徐泳  练国平  李红艳
作者单位: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 (19972 0 75 ),联合利华 (UnileverPLC)资助项目
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。

关 键 词:润滑  幂律流体  挤压流动  粘性力  壁面滑移  离散元法
文章编号:1000-0887(2002)07-0000-07
修稿时间:2001年10月9日

Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip
HUANG Wen_bin ,XU yong ,LIAN Guo_ping ,LI Hong_yan.Squeeze Flow of a Power-Law Fluid Between Two Rigid Spheres With Wall Slip[J].Applied Mathematics and Mechanics,2002,7(7):722-728.
Authors:HUANG Wen_bin  XU yong  LIAN Guo_ping  LI Hong_yan
Institution:HUANG Wen_bin 1,XU yong 1,LIAN Guo_ping 2,LI Hong_yan 1
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.
Keywords:lubrication  power_law fluid  squeeze flow  viscous force  wall slip  
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