| 非牛顿流体层流微分黏度函数 |
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| 引用本文： | 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(3):471-477. |
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| 作者姓名： | 刘涛 刘日成 吕显瑞 静宇 |
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| 作者单位： | 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 |
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| 基金项目： | 吉林省自然科学基金(批准号:201215038) |
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| 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.
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| 关 键 词： | 链式规则 幂律流体 微分黏度 近似式 |
| 收稿时间： | 2014-09-24 |
Differential Viscosity Function of Laminar Flow of Non-Newtonian Fluid in Pipes |
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| LIU Tao
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LIU Richeng
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L Xianrui
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JING Yu.Differential Viscosity Function of Laminar Flow of Non-Newtonian Fluid in Pipes[J].Journal of Jilin University: Sci Ed,2015,53(3):471-477. |
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| Authors: | LIU Tao LIU Richeng L Xianrui JING Yu |
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| Institution: | 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 |
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| 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. |
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| Keywords: | chain rule power law fluid differential viscosity approximation formula |
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