On the effect of characterised initial conditions on the evolution of the mixing induced by the Richtmyer–Meshkov instability

IF 1.7 4区 工程技术 Q3 MECHANICS Shock Waves Pub Date : 2023-04-12 DOI:10.1007/s00193-023-01124-7
M. Rasteiro dos Santos, Y. Bury, S. Jamme, J. Griffond
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Abstract

Time-resolved schlieren photography was used to visualise mixing zones induced by the Richtmyer–Meshkov instability. These were initiated with four different initial conditions: three of them with monotonic, single-mode shapes and one with a non-monotonic, multi-mode shape. These initial conditions were generated by an innovative experimental concept, the Micro Rotating Shutter System. The results of this experimental campaign reveal that the shape of the initial air–helium interface influences the subsequent development of the resulting mixing zone. Over the measurement time range, the width of the mixing zone induced by this instability is correctly fitted by a power law. Its growth exponent depends on the monotonicity of the initial air–helium interface: while mixing widths originating from single-mode initial conditions are almost superimposed, a lesser growth exponent is found for the multi-mode initial condition. The Reynolds number based on the width of the mixing zone suggests that both flows initiated with single- and multi-mode initial conditions reach a fully turbulent state after the interaction with the reflected shock wave (reshock). The schlieren photography visualisations presented here also allow to illustrate the structure of the induced mixing and highlight the effect of the initial conditions on the large-scale structures of the Richtmyer–Meshkov instability-induced mixing.

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论特征初始条件对由richmyer - meshkov不稳定性引起的混合演化的影响
时间分辨纹影摄影用于观察由richhtmyer - meshkov不稳定性引起的混合区。它们由四种不同的初始条件启动:其中三种具有单调单模态形状,另一种具有非单调多模态形状。这些初始条件是由一个创新的实验概念产生的,即微旋转快门系统。实验结果表明,初始空气-氦界面的形状影响混合区的后续发展。在测量时间范围内,由这种不稳定性引起的混合区宽度可以用幂律正确地拟合。它的增长指数取决于初始气氦界面的单调性:单模初始条件下产生的混合宽度几乎是叠加的,而多模初始条件下的增长指数较小。基于混合区宽度的雷诺数表明,在与反射激波(再激波)相互作用后,以单模态和多模态初始条件启动的流动均达到完全湍流状态。这里展示的纹影摄影可视化也可以说明诱导混合的结构,并突出了初始条件对richhtmyer - meshkov不稳定诱导混合的大尺度结构的影响。
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来源期刊
Shock Waves
Shock Waves 物理-力学
CiteScore
4.10
自引率
9.10%
发文量
41
审稿时长
17.4 months
期刊介绍: Shock Waves provides a forum for presenting and discussing new results in all fields where shock and detonation phenomena play a role. The journal addresses physicists, engineers and applied mathematicians working on theoretical, experimental or numerical issues, including diagnostics and flow visualization. The research fields considered include, but are not limited to, aero- and gas dynamics, acoustics, physical chemistry, condensed matter and plasmas, with applications encompassing materials sciences, space sciences, geosciences, life sciences and medicine. Of particular interest are contributions which provide insights into fundamental aspects of the techniques that are relevant to more than one specific research community. The journal publishes scholarly research papers, invited review articles and short notes, as well as comments on papers already published in this journal. Occasionally concise meeting reports of interest to the Shock Waves community are published.
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