Propagation of weak shock waves through turbulence
Propagation of weak shock waves through turbulence
复制标题
弱冲击波通过湍流传播
DOI：
10.1017/s0022112072000795
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发表时间：
1972
影响因子：
3.7
通讯作者：
A. George
中科院分区：
文献类型：
--
作者：
K. Plotkin;A. George
研究了湍流对弱激波结构的影响。平衡结构受非线性陡化和主波方向外声能的湍流散射之间的平衡所支配。散射的能量在激波前锋后面表现为微扰。在大气湍流中典型的音爆条件下，波结构符合Burgers方程，类似于描述粘性激波的方程，只是出现与湍流有关的参数而不是粘性系数。通过对增厚激波的一阶散射来估计激波后扰动的大小。激波厚度和扰动的预测与现有的实验数据相比较是有利的。用来分析激波结构的方法是考虑单个波在湍流中远距离传播时的散射能量。这避免了在计算集合平均结构时出现的物理解释困难，而集合平均结构是湍流散射分析中的通常方法。
The effect of turbulence on the structure of weak shock waves is investigated. The equilibrium structure is shown to be governed by a balance between nonlinear steepening and the turbulent scattering of acoustic energy out of the main wave direction. The scattered energy appears as perturbations behind the shock front. For conditions typical of sonic booms in atmospheric turbulence the wave structure is governed by a Burgers equation similar to that describing viscous shocks, except that parameters related to the turbulence appear instead of the viscosity coefficient. The magnitude of the perturbations following a shock is estimated from first-order scattering applied to a thickened shock. Predictions of shock thicknesses and perturbations compare favourably with available experimental data. The approach used in the analysis of shock structure is to account for energy scattered from a single wave propagating a long distance through turbulence. This avoids difficulties of physical interpretation which arise if an ensembleaveraged structure is calculated, which is the usual approach in turbulent scattering analysis.