用浮阻力模型研究Rayleigh-Taylor不稳定性诱发混合现象  

STUDY ON MIXING INDUCED BY RAYLEIGH-TAYLOR INSTABILITY USING BUOYANCY-DRAG MODEL

作　　者：杨玟[1] 王丽丽[1] 周海兵[1] 张树道[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《工程力学》2013年第4期385-391,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(11072040);中国工程物理研究院科学技术发展基金项目(2011B0201042;2012B0201030;2009A0202014)

摘　　要：采用浮阻力模型对不同加速度历史、不同密度比条件下Rayleigh-Taylor不稳定性诱发的物质渗透边界的演化过程进行了计算,揭示了该混合在常加速度和复杂变加速度情况下不同的发展规律,以及气泡和尖顶演化的不对称性随密度比的增大而增强的特性。通过与实验结果的比较分析,验证了该文中模型参数的选取、方程中现象学比例因子的添加和模型假设是合适的。这些结果为将浮阻力模型直接应用到相关的工程设计,取代现有的经验公式提供了理论依据,大大推动了与不稳定性诱发混合现象相关的工程领域的发展。The evolution of material interpenetration boundary induced by Rayleigh-Taylor instability is calculated under various acceleration histories and density ratios using a buoyancy-drag model,which reveals that the mixing development under a constant acceleration is very different from that under a variable acceleration,and that the asymmetry between a bubble and a spike enhances with the increase of the density ratio.The calculation results are compared with detailed experiment data to prove the validation of the choice of model constants,the addition of phenomenal ratio factors and model assumption used.These results provide theory guides for applying a buoyancy-drag model to related engineering designs directly and for replacing existing empirical expressions,which greatly promote the development of engineering fields related to mixing phenomenon induced by instabilities.

关 键 词：浮阻力模型 RAYLEIGH-TAYLOR不稳定性 混合现象 加速度历史 密度比 

分 类 号：O351.2[理学—流体力学]