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牛顿流体在圆管内湍流流动剪切率的近似计算
引用本文:张劲军,严大凡.牛顿流体在圆管内湍流流动剪切率的近似计算[J].中国石油大学学报(自然科学版),2002,26(4).
作者姓名:张劲军  严大凡
作者单位:石油大学石油天然气工程学院油气储运工程系,北京,102249
基金项目:“九五”中国石油天然气集团公司攻关项目,教育部博士点基金资助项目 ( 19980 4 2 517)
摘    要:根据剪切率的定义导出了描述湍流流动剪切率与时均流剪切率和脉动流剪切率关系的基本方程 ,该关系式与流体的流变性类型无关 ,适用于牛顿流体和非牛顿流体。根据不可压缩牛顿流体湍流剪切率与能量耗散率的关系和湍流能量耗散率的近似算法 ,得出了不可压缩牛顿流体在圆管内湍流流动剪切率及脉动流剪切率的实用算式 ,计算所得湍流剪切率及脉动流剪切率的分布特征与已知实验规律相符。

关 键 词:剪切率  湍流流动  牛顿流体  管流  流变性

Approach to estimation of shear rate of Newtonian fluids flowing in turbulent pipe
ZHANG Jin jun,YAN Da fan.Approach to estimation of shear rate of Newtonian fluids flowing in turbulent pipe[J].Journal of China University of Petroleum,2002,26(4).
Authors:ZHANG Jin jun  YAN Da fan
Institution:ZHANG Jin jun,YAN Da fan. Department of Petroleum Storage and Transportation in the University of Petroleum,China,Beijing 102249
Abstract:On the basis of definition of the shear rate, a basic equation for describing the relationship of the shear rates among the turbulent flow, the mean flow and the fluctuant flow was derived. This equation is irrespective of rheological classification of fluid and thus applicable to both Newtonian and non Newtonian fluids. The relationship between the turbulent shear rate and the energy dissipation rate of incompressible Newtonian fluids was analyzed. By using an approximate algorithm of turbulent energy dissipation rate available in literatures, some practical equations for estimating the shear rate of flow in turbulent pipe and the shear rate due to velocity fluctuations for incompressible Newtonian fluids are obtained. The distribution characteristics of shear rates of estimated turbulent and the shear rates resulted from velocity fluctuations agree with the known experimental results.
Keywords:shear rate  turbulent flow  Newtonian fluid  pipe flow  rheological characteristics
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