曲面冲击波马赫反射特性理论研究

The Theoretical Study on the Characteristics of Mach Reflection of Curve Shock Wave

从冲击波基本性质出发,推出了在具有正常压缩性((?)~2P/(?)v^2)_s>0)的介质中曲面冲击波马赫反射一般特性和相应关系式。曲面冲击波马赫反射性质与平面冲击波不同,“三波线”轨迹为曲面,马赫波速是变化的。当马赫波达到稳定不变时,“三波线”轨迹成为平面,马赫波速保持定值。在“三波线”轨迹面上,入射波速、反射波速和马赫波速三者相等。由滑移爆轰产生的对称收聚形曲面冲击波所形成的马赫反射波速,“三波线”增长角随马赫波的发展而单调减小,趋于相应最小值——爆速和零。马赫波迅速达到接近稳定的尺寸,大曲率的收聚形曲面冲击波有较小的马赫波尺寸。

According to the fundamental characters of shock wave, this paper derive the general characteristics and relavant relations to Mach reflection of curve shock wave in the material with a normal compressibility of (((?)~2p/(?)v^2)_s>0).The Mach reflection of curve shock wave is different from that of plane shock wave. The trace of 'triple wave line' is a curved surface, and the velocity of Mach wave varies. When Mach wave remains constant, the trace of 'triple wave line becomes plane and the velocity of Mach wave gets to an unchanging value. Along the trace of 'triple wave line', the velocities of incident and reflected waves equal Mach wave.The velocity of Mach wave generated by the rfelection of a symmetric, convergent curve shock wave which is associated with a sliping detonation and the growing angle of 'triple wave line' are monotonously decreasing with thd developing of Mach wave, and go down to their rdlative minimums——detonation velocity and zero. Msch wave rapidly approaches to a limiting size. The convergent curve shock wave with larger curvature relates to a smaller limiting size of Mach wave.