SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (9): 1057-1064.

SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES

徐春晖, 黄文彬, 徐泳

College of Science, China Agricultural University, Beijing 100083, P. R. China

收稿日期:2002-10-25 修回日期:2004-04-20 出版日期:2004-09-18 发布日期:2004-09-18
基金资助:
the National Natural Science Foundation of China(10372113)

SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES

XU Chun-hui, HUANG Wen-bin, XU Yong

College of Science, China Agricultural University, Beijing 100083, P. R. China

Received:2002-10-25 Revised:2004-04-20 Online:2004-09-18 Published:2004-09-18
Supported by:
the National Natural Science Foundation of China(10372113)

摘要/Abstract

摘要： The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial second-order fluid was studied for modeling wet granular materials using the discrete element method. Based on the Reynolds’ lubrication theory, the small parameter method was introduced to approximately analyze velocity field and stress distribution between the two disks. Then a similar procedure was carried out for analyzing the normal interaction between two nearly touching, arbitrary rigid spheres to obtain the pressure distribution and the resulting squeeze force. It has been proved that the solutions can be reduced to the case of a Newtonian fluid when the non-Newtonian terms are neglected.

关键词: discrete element method, second-order fluid, squeeze flow, normal viscous force, small parameter method

Abstract: The normal viscous force of squeeze flow between two arbitrary rigid spheres with an interstitial second-order fluid was studied for modeling wet granular materials using the discrete element method. Based on the Reynolds’ lubrication theory, the small parameter method was introduced to approximately analyze velocity field and stress distribution between the two disks. Then a similar procedure was carried out for analyzing the normal interaction between two nearly touching, arbitrary rigid spheres to obtain the pressure distribution and the resulting squeeze force. It has been proved that the solutions can be reduced to the case of a Newtonian fluid when the non-Newtonian terms are neglected.

Key words: discrete element method, second-order fluid, squeeze flow, normal viscous force, small parameter method

中图分类号:

O347.7
O373

徐春晖;黄文彬;徐泳. SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 1057-1064.

XU Chun-hui;HUANG Wen-bin;XU Yong. SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 1057-1064.

参考文献

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SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES

SQUEEZE FLOW OF A SECOND-ORDER FLUID BETWEEN TWO PARALLEL DISKS OR TWO SPHERES

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