摘要
雷诺数是表征流体管流特性的重要参数。文中基于同时包含屈服应力、时间常数和幂律指数的Carreau-Extended(简称Carreau-E)非牛顿流体复杂流变模型及力平衡方程,推导出圆管内充分发展的Carreau-E流体层流管流的广义雷诺数表达式,并进一步拓展至Carreau、Herschel-Bulkley、Powerlaw、Bingham 4种常见非牛顿流体及牛顿流体。对比研究发现不同流体在圆管内流动的达西阻力系数实验值与预测值吻合良好,相对误差基本在±10%以内,该研究可为不同非牛顿或牛顿流体管流流态判定提供依据。
Reynolds number is an important parameter for characterizing the flow characteristics of fluids in pipes.Based on the complex rheological model of Carreau-Extended(referred to as Carreau-E)non-Newtonian fluid containing yield stress,time constant and power law index and the force balance equation,the generalized Reynolds number expression of laminar flow in a fully developed Carreau-E fluid in a circular pipe was derived.It was further extended to Carreau,Herschel-Bulkley,Power-law and Bingham,four common non-Newtonian fluids and Newtonian fluids.Through a comparative study,it is found that the experimental values of Darcy friction factors for different types of fluids flowing through pipes are in good agreement with the predicted values,and the relative errors are basically within±10%.This study can provide a basis for determining the flow patterns of pipe flows for different non-Newtonian or Newtonian fluids.
作者
谢俊辉
易敏
刘俊
杨富好
訾红策
鲁炜
刘思汝
孙杰
XIE Junhui;YI Min;LIU Jun;YANG Fuhao;ZI Hongce;LU Wei;LIU Siru;SUN Jie(Zhundong Oil Production Plant of Xinjiang Oilfield Company;School of Oil&Natural Gas Engineering,Southwest Petroleum University)
出处
《管道技术与设备》
CAS
2024年第4期1-5,共5页
Pipeline Technique and Equipment
基金
国家自然科学基金项目(52106208)
四川省自然科学基金项目(2023NSFSC0924)。
关键词
非牛顿流体
流变特性
广义雷诺数
达西阻力系数
non-Newtonian fluid
rheological characteristics
generalized Reynolds number
Darcy friction factor
