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本文根据平板上边界层内流速分布的相似性,给出了流速分布的一般表达式。通过求解动能积分方程,获得了各种特征量的一般表达式。采用二次抛物线流速分布剖面作为实例,计算了各种特征量,并将其结果与精确解及动量积分关系式解进行了比较,结果说明,动能积分解法优于动量积分解法,精度令人满意。
In this paper, the general expression of velocity distribution is given according to the similarity of the velocity distribution in the boundary layer on the plate. By solving the kinetic energy integral equation, the general expressions of various characteristic quantities are obtained. Using the quadratic parabolic velocity distribution profile as an example, various characteristic quantities were calculated, and their results were compared with the exact solution and momentum integral solution. The results show that the kinetic energy integral solution is superior to the momentum integral solution and the accuracy is satisfactory .