设计参数对幂次乘波体纵向静稳定性的影响

为实现幂次乘波体的纵向静稳定设计，对幂次体激波面后流线的“凹凸”特性与设计参数之间的关系进行了研究，并以此为依据，通过数值计算的方法得到了设计参数与幂次乘波体纵向静稳定性之间的关系。结果表明：幂次体激波面后的流线由“内凹”和“外凸”两部分组成；设计参数c越大、n越小、设计Ma越大、前缘点布置的越靠前以及乘波体长度L越长，流线的“外凸”段所占比例越大，由此得到的幂次乘波体纵向也就越稳定；此外，在其他设计参数确定的情形下，前缘线形状的改变并不影响乘波体的纵向静稳定性。

Effect of Design Parameters on Longitudinal Static Stability of Power Law Waverider

The longitudinal static stability of waverider is closely related to the streamline feature of the lower surface. The relationship between the design parameters and the “concave” and “convex” characteristic of the streamlines is studied. The results show that due to the effect of the shock compression and wall expansion, the streamlines behind the shock plane compose of two parts, the “inner concave” part and the “outer convex” one. The design parameters c, n, Ma, L and the position of the leading edge point will affect the “concave” and “convex” characteristic and the longitudinal static stability of the power-law waverider evidently. When the parameter c is larger, the parameter n is smaller, the parameter Ma is greater, and the parameter L is longer, or the leading edge point is closer to the head of the basic flow field, the "inner concave" part of the streamline will be shorter and the longitudinal static stability will be better. In addition, the shape of the leading edge will not influence the longitudinal static stability of the power-law waverider if other design parameters are determined.