Yung-Huai Kuo

By the distortion of coordinates, it is shown that, in the case of supersonic viscous flow past a flat plate, the boundary-layer and simple wave theories can be combined to give a complete representation of the velocity and pressure fields. Consistent first-order solutions are considered. An expression for the induced pressure on the plate, correct to the second order, is obtained. At high Mach numbers the important parameter satisfies the hypersonic similarity law; and for arbitrary Mach and Reynolds numbers and for different gases, the theoretical curve correlates closely the experimental data. Asymptotic shock curve and skin-friction coefficient are also deduced, but the experimental verifications are yet to be made.

沿高超声速运动平板的粘性流动（I）

郭永怀

本文表明对于绕平板的超声速粘性流动，可以用坐标变形方法，将边界层和简单波理论相结合给出速度和压力场的完整表示。研究了自洽的一阶解。得到了准确到二阶的平板上诱导压力的表达式。在高马赫数时，重要的参数满足高超声速相似律；对任意的马赫数和雷诺数，以及对不同的气体，理论曲线和实验数据很符合。导出了渐近激波曲线和摩阻系数，但还有待于实验证实。

原文发表于J. Aero. Sci., 1956, 23:125. 见《郭永怀文集》北京：科学出版社出版，pp. 573-574, 2009.