摘要
通过对平板边界层微分方程精确解和平板边界层积分方程近似解的对比,对于零攻角平板层流边界层推出满足四个基本边界条件的最佳近似速度分布多项式,其对应的摩擦阻力计算公式,与精确解完全相同。同时,最佳近似速度分布多项式对应的曲线与精确解的速度分布曲线吻合最好。
A comparison is made to the boundary layer on a fIat plate at zero incidencebetween the exact solution to differential equation and approximate solution tointegral equation. An optimal approximation velocity polynomial is thusderived available to satisfy four basic boundary conditions. Its correspondingformula for calculating the drag on a flat plate shows the identity with theexact solution. Also, the curve plotted according to the polynomial shows ingood agreement with the velocity profile given by the exact solution.
关键词
层流边界层
平板
最佳近似
laminar boundary layer
flat plate
optimal approximation
velocity profile
