一类幂律流体绕流楔形物体时层流边界层方程的近似解析解  

Approximate Analytical Solutions for the Laminar Boundary Layer Equation of Power Law Fluids along Wedge-formed Bodies

作　　者：赵文才[1] 宋毅[1] 付政庆[1] 张子叶[1] 

机构地区：[1]山东科技大学理学院,山东青岛266510

出　　处：《山东科技大学学报（自然科学版）》2007年第5期83-86,共4页Journal of Shandong University of Science and Technology(Natural Science)

摘　　要：从流体力学的基本方程出发,研究了幂律流体绕流楔形物体时的流动问题,通过引入合理的相似变换,将偏微分方程转化为常微分方程,求得了问题的近似解析解,得到了无量纲相似流函数以及无量纲速度的分布。Based on basic equations of fluid mechanics, the problem of power law fluids along wedge-formed bodies has been studied. The governing partial differential equations are transformed into nonlinear ordinary differential equations using similarity variables. The analytical solutions of laminar boundary layer equations and profiles for the dimensionless stream function and velocity are given.

关 键 词：非线性 相似变换 边界层 Adomain拆分法 近似解析解 

分 类 号：O175.1[理学—数学]