In this study, losing the shock wave profiles under interactions with grid turbulence was investigated experimentally and theoretically. We demonstrated that the shock wave contrast on side-view schlieren images gradually decreased to an undetectable level in the experiment. This shock wave ‘vanishment’ occurred at a low shock Mach number with a high turbulent Mach number. With a relatively strong shock wave, the contrast of the shock wave remained detectable although the shock wave profile region was expanded. To understand the shock wave vanishment phenomenon during interaction with turbulence, we established a shock wave vanishment model based on the solution of a one-dimensional interaction between a shock wave and forward induced flow. The criterion of the occurrence of local vanishment of the shock wave was derived as , where is the turbulent Mach number and is the shock Mach number. The proposed shock vanishment model involves the effect of the interaction length and the shock wave recovery characteristics. The derived model explains the vanishment of weak shock wave profile during turbulence with an interaction length of ten times the order of the integral scale of the turbulence, as observed in the experiment.

在这项研究中，通过实验和理论研究了在与网格湍流相互作用下失去激波剖面。我们证明了侧视纹影图像上的冲击波对比度在实验中逐渐降低到无法检测的水平。这种冲击波“消失”发生在低冲击马赫数和高湍流马赫数下。在相对较强的冲击波下，尽管冲击波剖面区域扩大了，但冲击波的对比度仍然可以检测到。为了理解湍流相互作用过程中的激波消失现象，我们基于激波与前向诱导流的一维相互作用的解，建立了激波消失模型。推导出冲击波发生局部消失的判据为，其中是湍流马赫数，是激波马赫数。所提出的冲击消失模型涉及相互作用长度和冲击波恢复特性的影响。推导出的模型解释了湍流期间弱激波剖面的消失，如实验中观察到的，相互作用长度是湍流积分尺度的十倍。