一类非牛顿流体边界层方程的近似解  

Approximate Solutions of a Class of Non- Newtonian Fluids Boundary Layer Equations

作　　者：徐云滨[1] 

机构地区：[1]榆林学院数学与统计学院,陕西榆林719000

出　　处：《榆林学院学报》2015年第4期35-37,共3页Journal of Yulin University

基　　金：榆林学院青年科技基金项目(13YK45)

摘　　要：对源于非牛顿流体中的一类动量和能量边界层方程的近似解进行了研究,利用泰勒展开式并借助Matlab软件,给出了动量边界层方程的近似解和壁摩擦力的近似值。利用动量边界层方程的近似解,得到了能量边界层方程的近似解。动量边界层方程近似解的可靠性和有效性被数值解所证明,所得近似解能够成功用于提供所研究问题的壁摩擦力的值、无量纲剪切应力分布图及无量纲温度分布图。Approximate solutions of a class of momentum and energy boundary layer equations arising in non- Newtonian fluids are studied using Taylor expansion and Matlab symbols calculation software. Approximate solution of momentum boundary layer equation arising in non- Newtonian fluids and approximation of the skin friction are obtained. They are obtained by using approximate solution of momentum boundary layer equation. The reliability and efficiency of them are verified by using numerical solutions. The approximate solution can be successfully applied to providing the value of the skin friction of non- Newtonian fluids,dimensionless shear force profiles and dimensionless temperature profiles.

关 键 词：边界层 泰勒展开式 近似解 

分 类 号：O357[理学—流体力学]