粘性金属中的正激波稳定性问题  

Stability of normal shock waves in a viscous metal

作　　者：于明[1] 刘福生[2] 李英雷[3] 

机构地区：[1]北京应用物理与计算数学研究所,北京100088 [2]西南交通大学高压物理实验室,四川成都610031 [3]中国工程物理研究院流体物理研究所,四川绵阳621900

出　　处：《爆炸与冲击》2009年第5期509-515,共7页Explosion and Shock Waves

基　　金：中国工程物理研究院NSAF基金项目(10576025)

摘　　要：G.H.Miller等把高压金属中的粘性激波作为强间断面处理,解析推论出:在大粘性系数条件下小扰动激波是不稳定的,物质粘性是导致失稳的因素。本文中针对平面正激波,认为高压金属中的粘性激波的物理量是连续变化的,利用线性稳定性理论,用数值解推论出:在有粘性条件下小扰动激波都是稳定的,物质粘性是致稳的因素。指出G.H.Miller等获得错误结论的原因在于:从无粘流动解推出的小扰动边界条件导致粘性激波小扰动增长。给出实验确定的小扰动速度梯度的边界条件,这样既可以把粘性正激波作为强间断面处理,也能够保证粘性正激波的稳定性。Regarding a viscous shock wave in a high pressure metal as a strong discontinuity,Miller G H,et al pointed out that a little perturbation shock was unstable under little Reynolds number or large viscosity,and material viscosity was a destabilized factor.Aimed at the conclusion by Miller G H,et al,the linear stability theory was adopted to discuss the stability of normal shock waves in a viscous metal.Regarding a viscous normal shock wave in a high-pressure metal as a continuous profile,this paper points out that any little perturbation shock is stable under any Reynolds number,and material viscosity is a stabilized factor.The error by Miller G H,et al was demonstrated that the boundary conditions from inviscid solutions could lead to the increase of a little perturbation shock.An experimental boundary condition was given to guarantee the stability of a viscous normal shock wave.So a viscous normal shock wave can be regarded as a strong discontinuity,and its stability can be guaranteed.

关 键 词：爆炸力学 激波稳定性 线性稳定性理论 粘性金属 物质粘性 广义Rankine-Hugoniot条件 

分 类 号：O382.3[理学—流体力学]