幂律流体圆管紊流新速度分布式  

A new velocity distribution for turbulent pipe flow of power law fluid

作　　者：赵岩[1] 王常斌[1] 

机构地区：[1]中国计量大学计量测试工程学院,浙江杭州310018

出　　处：《中国计量学院学报》2016年第2期144-147,共4页Journal of China Jiliang University

摘　　要：从牛顿流体在圆管中的层流流动的力平衡方程出发,通过引入参考窦国仁的紊流随机理论和普朗特的混合长度理论,推导出牛顿流体在圆管中的紊流流动的力平衡方程.然后,将幂律流体本构方程带入到该力平衡方程中,通过求解该方程推导出幂律流体在圆管中紊流流动的新的速度分布式,该新的分布式的速度分布由幂律流体的流性指数、稠度系数、密度即流体本身特性决定,可以从该式分析幂律流体的本身特性相关参数与其流动情况之间的关系,计算结果与实验对照比较吻合.Based on the Newton fluid force balance equation of the laminar flow in pipe and with reference to the mixing length theory and random theory, we inferred the Newtonian fluid force balance equation of turbulent flow in pipe. Then, we imported the constitutive equation of power law fluid to solve the equation and deduce the new velocity distribution for turbulent pipe flow of power law fluid. By comparing the results with the experiment through computing the equation, we found that the equation was in accordance with the experimental data better. The new velocity distribution was decided by the fluidity index, the consistency coefficient and fluid density. The equation could be used to analyze the influence of the characteristics of power law fluid on its flow.

关 键 词：幂律流体 紊流 混合长度理论 随机理论 

分 类 号：O357.5[理学—流体力学]