平板层流边界层的新速度分布函数

摘要

The integral relational expression is adopted to solve the flat plate laminar boundary layer problem,on the basis of meeting the basic boundary conditions,a Jacobin elliptic sine function is proposed as a new approximate velocity distribution function,using the method of least squares to determine the undetermined coefficient.The velocity profile is in good agreement with the exact solutions corresponding to the boundary layer differential equations.The new distribution function is characteristic of a high accuracy and simpler in form,which is easy for use in engineering application.%采用积分关系式方法求解平板层流边界层问题，在满足基本边界条件的基础上提出以雅克比椭圆正弦函数作为新的近似速度分布函数，用最小二乘法确定函数中的待定系数。分析表明新分布函数精度有明显提高，且形式简单，便于工程应用。