应用数学和力学2024，Vol.45Issue(1)：110-119,10.DOI:10.21656/1000-0887.440164
非均匀磁场下Maxwell磁纳米流体的拉伸流动与磁扩散分析
Stretching Flow and Magnetic Diffusion Analysis of Maxwell Magnetic Nanofluids in Non-Uniform Magnetic Fields
摘要
Abstract
Magnetic nanoparticles can enhance the electrical and thermal conductivity of polymers,which are widely used in fields such as machinery,biomedicine,and energy storage.When a non-uniform magnetic field is imposed externally,the induced magnetic field cannot be ignored in the case of high Reynolds numbers.To explore the effects of magnetic nanoparticles on the unsteady flow and magnetic diffusion of viscoelastic fluid o-ver the stretching sheet within the laminar boundary layer,the time distributed-order Maxwell constitutive e-quation was coupled with the momentum equation to establish partial differential equations for the velocity and magnetic diffusion of a 2D incompressible Maxwell magnetic nanofluid.Numerical analysis was performed with the finite difference method,and the velocity and the induced magnetic field distribution of the fluid within the boundary layer were analyzed by control of the magnetic nanoparticle type,the volume fraction and the magnet-ic parameter magnitude.The results show that,the velocity and induced magnetic field of the fluid are the lar-gest in the case of Fe2 O3 nanoparticles added to molten polymers,besides,the velocity and magnetic boundary layer thickness is the largest.With the increase of the Maxwell nanofluid relaxation time parameter,both the velocity and the magnetic diffusion will decrease.In addition,the velocity boundary layer thickness and the magnetic boundary layer thickness of the fluid decrease with the magnetic parameter.The larger the volume fraction of Fe3 O4 nanoparticles is,the faster the fluid flow and the smaller the induced magnetic field will be.Therefore,the study of the addition of magnetic nanoparticles to polymers in non-uniform magnetic fields gives referential data for improving material properties.关键词
Maxwell流体/磁性纳米颗粒/感应磁场/数值差分格式Key words
Maxwell fluid/magnetic nanoparticle/induced magnetic field/numerical difference scheme分类
力学引用本文复制引用
吴学珂,刘春燕,白羽,张艳..非均匀磁场下Maxwell磁纳米流体的拉伸流动与磁扩散分析[J].应用数学和力学,2024,45(1):110-119,10.基金项目
国家自然科学基金青年科学基金(12102032) （12102032）
北京市教育委员会科技计划一般项目(KM202310016001) 本文作者衷心感谢北京建筑大学金字塔人才培养工程项目(JDYC20220829)、北京建筑大学促进高校内涵发展定额项目(X21027)和北京建筑大学研究生创新项目(PG2023144)对本文的资助. （KM202310016001）
