最优同伦渐近法在带滑移的6常数Oldroyd流体模型中的应用  

Application of Optimal Homotopy Asymptotic Method for Oldroyd 6 Constant Fluid Model with Slip

作　　者：哈米德 孙华飞 宋扬 Hameed Ullah;SUN Hua-fei;SONG Yang(School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China)

机构地区：[1]北京理工大学数学与统计学院,北京100081

出　　处：《北京理工大学学报》2019年第3期327-330,共4页Transactions of Beijing Institute of Technology

基　　金：北京市科委创新项目(Z161100005016043)

摘　　要：应用最优同伦渐近法(OHAM)研究了6常数Oldroydl流体的平面Couette流、平面Poiseuille流和平面Couette Poiseuille流这三个非线性问题.介绍了6常数Oldroyd流体的平面Couette流、平面Poiseuille流和平面Couette Poiseuille流的控制方程和边界条件,应用最优同伦渐近法对上述问题进行求解,并给出模拟仿真,根据仿真结果讨论了滑移参数对速度分布的影响.Applying the optimal homotopy asymptotic method (OHAM) to study three nonlinear problems, plane Couette flow, plane Poiseuille flow and plane Couette-Poiseuille flow, of the Oldroyd 6-constant fluid. Firstly, the governing equation and boundary condition of plane Couette flow, plane Poiseuille flow and plane Couette-Poiseuille flow in the Oldroyd 6-constant fluid were introduced respectively. Then applying the optimal homotopy asymptotic method was used to solve the problem, and carrying out some simulations. Finally, the effect of the slip parameter on the velocity profile was discussed based on the simulations.

关 键 词：最优同伦渐近法 滑移条件 6常数Oldroyd流体 

分 类 号：O175.29[理学—数学]