非Newton流体的物质点法模拟研究  

Simulation of Non-Newtonian Fluid Flows With the Material Point Method

作　　者：周晓敏[1,2] 孙政 ZHOU Xiaomin;SUN Zheng(School of Architectural and Surveying&Mapping Engineering,Jiangxi University of Science and Technology,Ganzhou,Jiangxi 341000,P.R.China;Jiangxi Provincial Key Laboratory of Environmental Geotechnique and Engineering Disaster Control,Ganzhou,Jiangxi 341000,P.R.China)

机构地区：[1]江西理工大学建筑与测绘工程学院,江西赣州341000 [2]江西省环境岩土与工程灾害控制重点实验室,江西赣州341000

出　　处：《应用数学和力学》2019年第10期1135-1146,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11902127);江西省自然科学基金(20192BAB212010);江西省教育厅科学技术研究项目(GJJ170565;GJJ180499)

摘　　要：准确模拟非Newton流体的运动特性具有重要的工程意义.物质点法作为一种相对新兴的粒子型算法,其结合了Lagrange算法和Euler算法的双重优势,已广泛有效地应用于各个工程领域.基于物质点法,结合人工状态方程,分析了两种非Newton流体(cross流体和幂律流体)在平板Poi?seuille流和Couette流情况下的流动特性.结果表明:对Newton流体,物质点模拟结果与理论值一致;对非Newton流体,物质点法可准确模拟其剪切稀化和剪切稠化现象.表明了物质点法在模拟非Newton流体流动问题时的适用性,拓展了物质点法的应用范围.Simulation of the non?Newtonian fluid flow is an interesting problem for engineers.As a relatively new particle?based method,the material point method(MPM),combining the advantages of both the Lagrangian algorithm and the Eulerian algorithm,has been widely and effectively used to solve complex engineering problems.The plane Poiseuille flow and Couette flow of the shear thickening and shear thinning cross fluid and power?law fluid were studied with the artificial state equations for the MPM.The results show that,the simulation with the MPM for the Newtonian fluid is in good agreement with the theoretical solution and the MPM simulates the shear thinning and shearing thickening of the non?Newtonian fluid exactly.The results confirm the applicability of the MPM for simulation of the non?Newtonian fluid flow and expand the application field of the MPM.

关 键 词：物质点法 非Newton流体 POISEUILLE流 COUETTE流 cross流体 幂律流体 

分 类 号：O373[理学—流体力学]