颗粒密度与半径影响下的多相RMI混合区域宽度极限理论模型及其规律探究  

Research on the limit theoretical model and influence rules of multiphase RMI mixing zone width under the influence of particle density and radius

作　　者：司英明 孟宝清 王春[1,2] 田保林 陈潜 SI YingMing;MENG BaoQing;WANG Chun;TIAN BaoLin;CHEN Qian(State Key Laboratory of High Temperature Gas Dynamics,Institute of Mechanics,Chinese Academic of Sciences,Beijing 100190,China;School of Engineering Science,University of Chinese Academy of Sciences,Beijing 101408,China;School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China;Institute of Applied Physics and Computational Mathematics,Beijing 100094,China)

机构地区：[1]中国科学院力学研究所高温气体动力学国家重点实验室,北京100190 [2]中国科学院大学工程科学学院,北京101408 [3]北京航空航天大学航空科学与工程学院,北京100191 [4]北京应用物理与计算数学研究所,北京100094

出　　处：《中国科学：物理学、力学、天文学》2024年第10期56-67,共12页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：中国科学院基础与交叉前沿科研先导专项(编号:XDB0620203);国家自然科学基金(编号:12002063,12002062,91852207,12132017,12072353);国家重大项目(编号:GJXM92579)资助。

摘　　要：颗粒参数对多相Richtmyer-Meshkov不稳定性(RMI)混合区宽度演化具有显著影响,但影响规律尚待探究.本文基于界面运动方程,综合颗粒体积分数、半径和气体黏度参数影响,提出无量纲数Sd,表征曳力对流体速度弛豫过程的影响.基于小扰动理论建立了极限颗粒参数下混合区宽度的增长模型,分析表明颗粒密度与半径组合决定混合区宽度增长形态,在颗粒密度较大时呈指数增长,在半径较大或二者都较大时呈线性增长.进一步分析揭示了颗粒参数变化对混合区域宽度的影响规律,发现增大颗粒半径会促进混合区域宽度增长.数值模拟结果验证了理论模型及Sd数有效性,结果表明经典的Stokes数(St)在预测混合区宽度增长时存在失效情况,St数和Sd数的组合是多相RMI演化的主控无量纲数.Particle parameters have a significant impact on the evolution of the mixing zone width of the multiphase Richtmyer-Meshkov instability(RMI),but the influence law remains to be explored.Based on the interface motion equation and integrating the influence of particle volume fraction,radius and gas viscosity parameters,this article proposes a dimensionless number Sd to characterize the effect of drag on the fluid velocity relaxation process.A growth model for the mixing zone width under extreme particle parameters is established based on the small-perturbation theory.The analysis showed that the combination of particle density and particle size determines the growth pattern of the mixing zone width.It shows exponential growth when the particle density is large,and linear growth when the radius is large or both are large.Further analysis revealed the influence of changes in particle parameters on the mixing zone width,and found that increasing the particle radius will promote the growth of the mixing zone width.The numerical simulation results verify the validity of the theoretical model and Sd number.The results indicate that the classical Stokes number(St)fails in predicting the growth of the mixing zone width,and the combination of St number and Sd number is the dominant dimensionless number for the evolution of multiphase RMI.

关 键 词：多相Richtmyer-Meshkov不稳定性 颗粒参数 混合区域宽度 理论模型 影响规律 

分 类 号：O35[理学—流体力学]