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›› 2007, Vol. 7 ›› Issue (3): 467-471.

• 流动与传递 • 上一篇    下一篇

颗粒流拟流体的本构关系

边琳,王立,刘传平   

  1. 北京科技大学机械工程学院
  • 出版日期:2007-06-20 发布日期:2007-06-20

Constitutive Relation of Pseudo-fluid Granular Flow

BIAN Lin,WANG Li,LIU Chuan-ping   

  1. School of Mechanical Engineering, University of Science and Technology Beijing
  • Online:2007-06-20 Published:2007-06-20

摘要: 针对慢速密集颗粒流的特点,采用拟流体的方法,类比具有屈服应力的非牛顿流体,给出了适用于慢速密集颗粒流的本构方程表达形式,建立了用粗糙底面斜槽测量颗粒流当量粘性的数学模型,并以小麦颗粒为例,通过粗糙底面斜槽实验得出了小麦颗粒流的屈服应力及其本构方程的关键系数. 将实验得出的小麦颗粒流本构关系系数作为其当量粘性的特征值对斜面流进行解析计算,体积流量的模型预测值与实验值的相对误差在15%以内.

关键词: 拟流体, 颗粒流, 本构方程, 当量粘性

Abstract: For the slow intensive granular flow, the method of describing the granular flow as a pseudo-fluid flow is employed in this work. By analogy with non-Newton fluid with yield stress, a constitutive equation is put forward for slow intensive granular flow, and a mathematical model of testing granular equivalent viscosity is presented. Based on the experiment of wheat granules flowing down a rough inclined chute, the yield stress and the key coefficients of constitutive equation of the wheat granule flow are calculated. From theoretical analysis of wheat granule chute flow using the coefficients of the constitutive relation from experiment, the relative error of the prediction of the volume flow rate compared with corresponding experimental data is less than 15%.

Key words: pseudo-fluid, granular flow, constitutive equation, equivalent viscosity