非牛顿流体层流微分黏度函数

吉林大学学报(理学版)

非牛顿流体层流微分黏度函数

刘涛¹, 刘日成², 吕显瑞³, 静宇⁴

1. 中国石油大学（北京）地球物理与信息工程学院, 北京 102249； 2. 东北石油大学数学与统计学院, 黑龙江大庆 163318；3. 吉林大学数学学院, 长春 130012； 4. 东北石油大学石油工程学院, 黑龙江大庆 163318

收稿日期:2014-09-24 出版日期:2015-05-26 发布日期:2015-05-21
通讯作者: 刘日成 E-mail:richengliu@sina.com

Differential Viscosity Function of Laminar Flowof Non-Newtonian Fluid in Pipes

LIU Tao¹, LIU Richeng², LV Xianrui³, JING Yu⁴

1. College of Geophysics and Information Engineering, China University of Petroleum(Beijing), Beijing 102249, China；2. School of Mathematics and Statistics, Northeast Petroleum University, Daqing 163318, Heilongjiang Province, China； 3. College of Mathematics, Jilin University, Changchun 130012, China；[JP2]4. School of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, Heilongjiang Province, China

Received:2014-09-24 Online:2015-05-26 Published:2015-05-21
Contact: LIU Richeng E-mail:richengliu@sina.com

摘要/Abstract

摘要：

为避开用流体力学中的平均值方法求解微分黏度函数时遇到的奇异问题, 基于复合函数链式规则简化非牛顿流体的微分黏度函数, 并在此基础上建立微分黏度的3种近似式, 针对不同近似式的精确性进行分析和比较, 明确了近似式的最佳适用范围.

关键词: 链式规则, 幂律流体, 微分黏度, 近似式

Abstract:

Based on the chain rule of composite function, the differential viscosity function of nonNewtonian fluid was simplified so that the problem of singularity is avoided, which is encountered in solving the differential viscosity function by the average value method commonly used in fluid mechanics. Then three approximation formula of the differential viscosity were established, the precision of the approximations was analyzed and compared, and the optimal scopes of application of the approximations were given.

Key words: chain rule, power law fluid, differential viscosity, approximation formula

中图分类号:

O357

刘涛, 刘日成, 吕显瑞, 静宇. 非牛顿流体层流微分黏度函数[J]. 吉林大学学报(理学版), 2015, 53(03): 471-477.

LIU Tao, LIU Richeng, LV Xianrui, JING Yu. Differential Viscosity Function of Laminar Flowof Non-Newtonian Fluid in Pipes[J]. Journal of Jilin University Science Edition, 2015, 53(03): 471-477.