平板层流边界层速度分布的一种最佳近似解析解  

An Optimum Approximate Analytical Solution for Laminar Boundary Layer Velocity with Flat Distribution

作　　者：唐树江[1] 李明军[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105

出　　处：《湘潭大学自然科学学报》2013年第1期18-20,共3页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金项目(11171281);湘潭大学自然科学基金项目(09XZX02)

摘　　要：针对层流流动,在王绍亭(1989)提出的指数型速度分布的基础上,提出了一个全新的指数型速度分布.将其代入边界层动量方程后,求得一类精度更高的边界层厚度、任意点的流速、平板总摩擦阻力及摩擦阻力系数与精确解有更好的吻合.In this paper,we give an new optimum approximate analytical solution for the laminar flow, it is based on the results of WangShaoTing（ 1989） proposed in the index of the velocity distribution. The im- provement on approximation velocity exponential function was derived available to satisfy four basic bounda- ry conditions. Its corresponding formula for calculating the drop on a flat plate shows the identity with the exact solution. Also ,the curve plotted accordion to the shows in exponential function good agreement with the velocity distribution profile given by the exact solution.

关 键 词：平板 层流边界层 速度分布 

分 类 号：O241[理学—计算数学]