飞片加载产生正弦冲击波及其波阵面演化模拟  

Numerical Study on the Viscosity of Shocked Al vis Small-Perturbation Amplitude Damping Profile Measurement by Flyer Impact

作　　者：马小娟[1] 刘福生[1] 李一磊[1] 于明[2] 李永宏[1] 彭小娟[1] 经福谦[1,3] 

机构地区：[1]西南交通大学物理科学与技术学院,四川成都610031 [2]北京应用物理与计算数学研究所,北京100094 [3]中国工程物理研究院流体物理研究所,冲击波物理与爆轰物理国防科技重点实验室,四川绵阳621900

出　　处：《高压物理学报》2011年第1期23-28,共6页Chinese Journal of High Pressure Physics

基　　金：国家自然科学基金(10974160,10576025,11002120);中央高校基本科研业务费专项资金资助(SWJTU09BR244)

摘　　要：飞片加载冲击波小扰动实验方法是目前测量高温高压下物质粘性的实用方法之一,针对飞片碰撞小扰动实验,采用二维Navier-Stokes方程的差分方法,研究了金属铝中复杂压力流场的演化过程,给出了这类特定冲击波流场中正弦形扰动振幅振荡衰减特性与粘性系数之间的定量关系。结果表明:数值解比以往用于分析冲击波小扰动实验的解析解结果更接近实际的实验条件,得到的粘性系数值更具合理性,具有重要的应用价值。结合实验数据,数值计算分析的结果表明,金属铝在78 GPa冲击压力和3×106s-1应变率条件下的等效剪切粘性系数值为(2.8±0.1)kPa.s。Flyer-impact disturbance amplitude damping method of shock wave is one of practical method for viscosity measurement at high pressure and high temperature.The experimental results for shocked Al at two high pressures have been reported previously by Li,et al,instead of the analytical solution method,which was proposed by Miller and Ahrens,for treating same characteristic data from the measured profiles that was adopted in Li＇s analysis.Here we first put forward a two-dimensional Eulerian viscous fluid,to make a full-shock front perturbation evolution simulation.The measured profile at 78GPa is used as an example in our re-analysis.The numerical simulated profile agrees well with the measured one,from which the determined effective viscosity coefficient of the shocked Al at 78GPa is（2.8±0.1）kPa·s.This value is about twice of the Li＇s one（（1.3±0.3）kPa·s）,but we believe the value in the present study might be more reasonable because it is obtained from a comprehensive simulation for the full-shocked perturbation evolving process.

关 键 词：粘性系数 二维NAVIER-STOKES方程 冲击波阵面 正弦形扰动 

分 类 号：O521.2[理学—高压高温物理]