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高速运动中激波的近似计算
APPROXIMATE METHOD FOR CALCULATING THE SHAPE OF A SHOCK WAVE IN HYPERSONIC FLOWS
【摘要】 本文着重分析了Rosciszewski的计算激波的方法和whitham的特征准则,并指出了近似计算激波的途径.作为一个例子,计算了钝头圆柱体在高超声速运动下产生的激波.
【Abstract】 In this paper, Rosciszewski’s method for calculating the shape of a shock wave is examined. It is shown that the differential relationship connecting quantities on a shock and those on a given curve as given by Rosciszewski is incorrect. If his procedure is carried out correctly, the result obtained is no other than the well-known relationship between curvatures of the shock and the streamline behind the shock. It is also shown that Whitham’s characteristic rule, in general, does not apply to an expanding shock except for weak ones. As an example, an approximate calculation of the shock shape by utilizing the equation for the curvatures of the shock and the streamline is made in the case of a blunt-nosed body in hypersonic flow.
- 【文献出处】 力学学报 ,Acta Mechanica Sinica , 编辑部邮箱 ,1964年04期
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