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存在填隙幂律流体时圆球间切向作用的近似解
引用本文:李红艳,黄文彬,徐泳.存在填隙幂律流体时圆球间切向作用的近似解[J].应用力学学报,2002,19(4):43-46.
作者姓名:李红艳  黄文彬  徐泳
作者单位:中国农业大学,北京,100083
基金项目:国家自然科学基金资助项目批准号 19972 0 75
摘    要:在Reynolds润滑理论的基础上,导出了存在填隙幂律流体时,两刚性圆球有相对切向运动时流体压力的近似方程,并进一步求得了圆球所受阻力矩的近似积分表达式,给出了问题的数值解。结果发现幂流体的幂指数、颗粒间最小间隙以及颗粒的大小都是流体压力和颗粒间切向阻力的重要因素。与Godman等人的牛顿流体下圆球平行于平面缓慢运动时圆球所受阻力以及阻力矩的渐近解作的比较表明,本文的数值解优于渐近解。

关 键 词:离散元法  散体  幂律流体
文章编号:1000-4939(2002)04-0043-04
修稿时间:2001年8月10日

An Approximate Solution of the Tangential Interaction Between Spheres With an Interstitial Power Law Fluid
Li Hongyan,Huang Wenbin,Xu Yong.An Approximate Solution of the Tangential Interaction Between Spheres With an Interstitial Power Law Fluid[J].Chinese Journal of Applied Mechanics,2002,19(4):43-46.
Authors:Li Hongyan  Huang Wenbin  Xu Yong
Abstract:Based on Reynolds' lubrication theory, an approximate pressure equation for the tangential interaction between two arbitrary rigid spheres with an interstitial power law fluid has been derived. Afterwards expressions for both the viscous force and the moment were presented. The results indicate that the power index, the minimum gap width and the size ratio are the main factors affect the magnitude of the pressure, the force and the moment. Comparison between the numerical results and Goldman's asymptotic solutions indicates that the proposed numerical results are reasonable and more accurate than the asymptotic solution.
Keywords:Distinct element method  granular  power  law fluid  
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