层流边界层方程的近似分析解

献[1]引用压力梯度作为新的自变量以代替通常的纵坐标x，从而将经典的边界层方程变为新的形式。在些基础上，献[1]用图解法求定作地一截面处的摩探应力因子。本仍然采用献[1]的变量置换，但用级数法求得了层边界层方程的一级近似分析 解；并得到了计算摩擦应力因子的公式（4.13）对于主函数中不含常数项的一类流动说，本求得的摩擦应力因子和献[1]的结果十分符合；对于主函数中含有常数项的另一类流动，中作了更进一步的简化，求得的摩控应力因子和献[1]的结果相比较，误差也低于10％。

An Approximate Analytical Solution of the Laminar Boundary Layer Equations

Using the pressure gradient as the new variable instead of the ordinary longitudinal coordinate x, Liu transformed the ordinary laminar boundary equations into a new form. On this base Liu obtained the frictional stress factor by using the graphical method.In this paper the same variable replacement as ia[l] is used and an approximate analytical solution of the laminar boundary layer equations by the series method is obtained. The author also obtains a formula of frictional stress factor. For the case of the main function without the term of constant the author makes a further simplification. The error of the frictional stress factor obtained by the author is still less than 10% compared with that of [1].