Carreau-Extended非牛顿流体圆管层流流动的摄动解  

Perturbation Solution for Laminar Flow of Carreau-Extended Non-Newtonian Fluid in Pipe

作　　者：叶俊华[1] 雷卫明 王昭华[1] 马文军 赵磊[1] 马建荣[1] 史高均 孙杰 YE Junhua;LEI Weiming;WANG Zhaohua;MA Wenjun;ZHAO Lei;MA Jianrong;SHI Gaojun;SUN Jie(Zhundong Oil Production Plant of Xinjiang Oilfield Company;School of Oil&Natural Gas Engineering,Southwest Petroleum University)

机构地区：[1]新疆油田分公司准东采油厂 [2]西南石油大学石油与天然气工程学院

出　　处：《管道技术与设备》2024年第3期1-5,25,共6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)。

摘　　要：非牛顿流体在工业生产中应用广泛。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)复杂流变方程及剪切应力与压降平衡关系,建立了圆管内充分发展的稳定Carreau-E流体层流管流的运动方程,并采用摄动方法推导出相应运动方程的一阶渐近解,获得了不同类型流体管流的速度分布以及压力梯度、流核宽度、屈服应力和时间常数对Carreau-E流体管流流场分布的影响规律,该研究对Carreau-E流体及其他复杂非牛顿流体管流特性研究具有参考价值。Non-Newtonian fluids are widely used in industrial production.Based on the complex Carreau-Extended(shorted as Carreau-E)rheological equation with three parameters of yield stress,time constant and power-law index,and the equilibrium relationship of shear stress and pressure drop,motion equation for fully developed,steady and laminar flow of Carreau-E fluid in a pipe was established and its first-order asymptotic solution was derived by using perturbation method.The laws of velocity distribution of different types of fluid flow and the influences of pressure gradient,flow core width,yield stress and time constant on the flow field distribution of the Carreau-E fluid pipe flow were obtained.This study has reference value for the flow characteristics of Carreau-E fluid and other complex non-Newtonian fluids.

关 键 词：Carreau-Extended流体 层流管流 流场 摄动解 

分 类 号：O373[理学—流体力学]