应用数学和力学2025，Vol.46Issue(9)：1196-1208,13.DOI:10.21656/1000-0887.450156
多孔介质中非稳态Maxwell流体在振荡旋转圆盘上的斜驻点滑移流动研究
Oblique Stagnation Point Slip Flow of Unsteady Maxwell Fluid on an Oscillating-Rotating Disk in Porous Medium
摘要
Abstract
The unsteady oblique stagnation point flow of the Maxwell fluid over a rotating disk with an oscilla-tory velocity in porous medium,was investigated.To accurately model the unsteady flow in the porous medi-um,an advanced formulation of the Darcy-Maxwell constitutive relation was adopted,in view of the character-istics of the oblique stagnation flow.Furthermore,the slip effect of the fluid was considered,and the pressure term was modified through solution of related ordinary differential equations.Then,the similarity transforma-tion was employed,to change the governing equations into a coupled set of dimensionless partial differential e-quations.With the homotopy analysis method,an approximate analytical solution to the problem was obtained for the first time.Finally,comprehensive visualizations of the flow dynamics were presented,including 2D stre-amlines varying with the disk rotational speed and 3D streamlines under varying inclination parameters.Addi-tionally,velocity profiles over time for different amplitudes were plotted,and graphs illustrating the intricate dependence of the velocity on various parameters were provided.The results show that,the augmentation of the Deborah number magnifies the centrifugal force effect and accelerates the flow.The growth of the Darcy pa-rameter causes a concomitant rise of porosity and a higher flow velocity.The increase of the slip parameter,on the one hand,leads to a reduction in the impedance exerted by the wall to the fluid in its vicinity,resulting in an acceleration of the flow,on the other hand,mitigates the impact of centrifugal force on the fluid farther a-way from the wall,consequently inducing a deceleration of the flow.The research enhances the understanding of the oblique stagnation flow phenomena and provides a foundation for further research in related fields such as spin coating and thin-film preparation.关键词
Maxwell流体/多孔介质/振荡旋转圆盘/斜驻点流动/同伦分析法Key words
Maxwell fluid/porous media/oscillating-rotating disk/oblique stagnation flow/homotopy analysis method分类
数理科学引用本文复制引用
白羽,向俊霖,张艳,刘春燕..多孔介质中非稳态Maxwell流体在振荡旋转圆盘上的斜驻点滑移流动研究[J].应用数学和力学,2025,46(9):1196-1208,13.基金项目
国家自然科学基金(12102032) （12102032）
北京市教育委员会科技计划一般项目(KM202310016001 （）
KM202210016001) 本文作者衷心感谢北京建筑大学培育项目专项资金(X24019) （X24019）
北京建筑大学金字塔人才培养工程项目(JDYC20220829) （JDYC20220829）
北京建筑大学硕士研究生创新项目(PG2024150 （）
PG2024151)对本文的资助. （）
