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Richtmyer-Meshkov不稳定性扰动增长率冲击模型的微尺度效应
The microscale effect on the impulsive model of Richtmyer-Meshkov instability amplitude growth rate
投稿时间: 2017-05-12  最后修改时间: 2017-06-09
DOI:
中文关键词:  Richtmyer-Meshkov不稳定性  微尺度  激波  增长率
英文关键词:Richtmyer-Meshkov instability  microscale  shock waves  growth rate
基金项目:国家自然科学基金项目面上项目,科学挑战专题
作者单位E-mail
张文斌 中国工程物理研究院流体物理研究所 sniperaiso@126.com 
邹立勇 中国工程物理研究院流体物理研究所 liyong.zou@hotmail.com 
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中文摘要:
      本文通过考虑流体介质输运性质对激波理论的影响,针对微型激波管中的Richtmyer-Meshkov (RM)不稳定性,分析了微尺度效应对三种冲击模型扰动增长率的影响。一维气体动力学计算结果表明:流动尺度对于Richtmyer模型、Meyer-Blewett (M-B)模型和Vandenboomgaerde-M黦ler-Gauthier (V-M-G)模型中的线性扰动增长率有显著影响。当流动尺度由宏观状态逐渐减小至微尺度时,三种模型的扰动增长率均会经历从少量增长到明显下降然后迅速上升的过程。微尺度条件下,V-M-G模型的扰动增长率相比宏观尺度有显著提高。与其它两种模型相比,修正后的V-M-G模型更合理地描述了微尺度效应对于线性扰动增长率的影响。此外,对于修正后的V-M-G模型,当入射激波马赫数较低时,扰动增长率受微尺度效应的影响更为明显。
英文摘要:
      In this work, we analytically studied the influence of flow scales on the amplitude growth rate of impulsive model for Richtmyer-Meshkov instability in micro shock tube by considering the transportation properties. The results of one dimensional gas dynamics calculation show that the scales have an obvious effect on the linear amplitude growth rate of Richtmyer model, M-B model and V-M-G model. As the flow scales decrease from macroscale to microscale, the amplitude growth rates of these three models will undergo a process of little growth, evident decrease and rapid increase. Compared with the situation in macroscale,there has been a notable rise in the amplitude growth rate of V-M-G model in microscale. By contrast, this fixed model describes the effect of microscale on linear amplitude growth rate of Richtmyer-Meshkov instability more reasonably. In addition, as the Mach number of the incident shock is smaller, the influence of the microscale on the amplitude growth rate is more remarkable in the fixed V-M-G model.
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