Finite response time of shock wave modulation by turbulence

Abstract

Response time of the post-shock wave (SW) overpressure modulation by turbulence is investigated in wind tunnel experiments. A peak-overpressure fluctuation, observed on a wall, is induced by turbulence around the SW ray, but away from the wall, demonstrating finite response time of the modulation. We propose a model of the modulation based on the SW deformation by a local flow disturbance, which yields the response time being proportional to the product of the large-eddy turnover time and (MT/MS0)0.5 (MT: turbulent Mach number and MS0: shock Mach number), in consistent with the experiments.

Statistical properties of spherical shock waves propagating through grid turbulence, turbulent cylinder wake, and laminar flow

“…The schematic of the experimental setup is shown in figure 1. The wind tunnel and the shock generator are the same as those in our previous study [18]. The streamwise, vertical, and spanwise directions are denoted by x, y, and z, respectively.…”

“…In our previous work, we also studied the interaction between shock wave and grid turbulence in wind tunnel experiments, where the peak-overpressure behind the shock wave and the velocity fluctuation of the grid turbulence were simultaneously measured [18]. In the study, the dependency of the shock overpressure fluctuation on the turbulent velocity fluctuation is evaluated by calculating correlation coefficients between both fluctuations.…”

Shock Wave Moderation by Characterized Disturbances

“…In spite of intensive efforts of numerical investigations [19][20][21][22][23][24][25][26], experimental data are necessary. Past experimental works used various configurations of a shock wave and turbulence [27][28][29][30][31][32][33][34][35][36]. The most fundamental configuration is the interaction between a plane shock wave and canonical turbulence.…”

Thermochemical effects on hypersonic shock waves interacting with weak turbulence

“…Most early work on the interaction of shock waves with turbulence have been limited to calorically perfect gases in boundary layers [21][22][23][24][25][26][27][28][29][30] , and isotropic free streams [31][32][33][34][35] . Large-scale numerical simulations, including DNS [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] , LES [51][52][53] , and RANS 54,55 , have been the pacing item for those investigations.…”