用垂直激波管研究多层流体界面上的Richtmyer-Meshkov不稳定性
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摘要
使用竖直激波管对气-液界面上的Richtmyer-Meshkov(RM)不稳定性现象进行了实验研究,构造了空气-硅油-水及空气-酒精-硅油两类流体界面,使用氦气作为高压驱动气体,进行了激波马赫数分别为M=1.50,1.85,2.25的实验;研究了流体黏性、激波强度以及表面张力对不稳定性发展的影响.通过分析实验数据,得到了气泡深度、尖钉高度及混合区域宽度随时间的变化关系,并发现在高马赫数下非线性变化关系明显.另外,研究了硅油层厚度对RM不稳定性的影响,提供了判断硅油层对RM不稳定性发生延迟的定量依据.
The Richtmyer-Meshkov instability phenomena at air-silicone oil-water and air-alcohol-water interfaces were experimentally studied in a vertical shock tube.Using helium gas as the driver gas,the impact shock waves with Mach numbers of 1.50,1.85 and 2.25were used.The measurements on the bubble depth,spike height and mixing zone width reveal the complex flow nature in RM instability.It involves both linear and non-linear processes according to Mach number and time,namely,hi ∝t or hi ∝ tθi,but θi >1.The influence of the thickness of the silicon oil on the development of RM instability was also examined.
The Richtmyer-Meshkov instability phenomena at air-silicone oil-water and air-alcohol-water interfaces were experimentally studied in a vertical shock tube.Using helium gas as the driver gas,the impact shock waves with Mach numbers of 1.50,1.85 and 2.25were used.The measurements on the bubble depth,spike height and mixing zone width reveal the complex flow nature in RM instability.It involves both linear and non-linear processes according to Mach number and time,namely,hi ∝t or hi ∝ tθi,but θi >1.The influence of the thickness of the silicon oil on the development of RM instability was also examined.
引文
[1]Rayleigh L.Investigation of the character of theequilibrium of an incompressible heavy fluid of variabledensity[J].Proceedings of the London MathematicalSociety,1883,14:170-177.
[2]Taylor G I.The instability of liquid surfaces whenaccelerated in a direction perpendicular to their planes[J].Proceedings of the Royal Society of London,SeriesA,Mathematical and Physical Sciences,1950,201(1065):192-196.
[3]Richtmyer R D.Taylor instability in shock accelerationof compressible fluids[J].Commun Pure Appl Maths,1960,13:297-319.
[4]Meshkov E E.Instability of the interface of two gasesaccelerated by a shock wave[J].Fluid Dynamics,1969,4:101-104.
[5]Lindl J D,Mccrory R L,Campbell E M.Progresstoward ignition and burn propagation in inertialconfinement fusion[J].Phys Fluids,1992,45:32-40.
[6]Arnett D.The role of mixing in astrophysics[J].Ap JSuppl,2000,127:213-217.
[7]Zhou Y,Remington B A,Robey H F,et al.Progressin understanding turbulent mixing induced by Rayleigh-Taylor and Richtmyer-Meshkov instabilities[J],PhysPlasmas,2003,10:1 883-1 896.
[8]Mikaelian K O.Extended model for Richtmyer-Meshkov mix[J].Physica D,2011,240:935-942.
[9]Brouilette M,Stuetevant B.Experiments on theRichtmyer-Meshkov instability:Small-scaleperturbations on a plane interface[J].Phys Fluids A,1993,5(4):916-930.
[10]Vetter M,Sturtevant B.Experiments on theRichtmyer-Meshkov instability of an air/SF6interface[J].Shock Waves,1995,4:247-252.
[11]Shi Honghui,Zhuo Qiwei.Evolution of the fluidmixing zone in Richtmyer-Meshkov instability at a gas/liquid interface[J].Chinese Journal of Theoretical andApplied Mechanics,2007,29(3):417-421.施红辉,卓启威.Richtmyer-Meshkov不稳定性流体混合区发展的实验研究[J].力学学报,2007,29(3):417-421.
[12]Shi H H,Zhang G,Du K,et al.Experimental studyof the mechanism of Richtmyer-Meshkov instability atagas/liquid interface[J].Journal of HydrodynamicsSer B,2009,21(3):423-428.
[13]张嘎.流体界面上Richtmyer-Meshkov不稳定性中的线性和非线性流体动力过程的实验研究[D].杭州:浙江理工大学,2009.
[14]Shi Honghui,Du Kai,Wang Chao,et al.Experimentalresearch on Richtmyer-Meshkov instability at themulti-layered fluid interfaces with different densitygradients[J].Journal of Experiments in FluidMechanics,2011,25(5):45-50.施红辉,杜凯,王超,等.不同密度梯度的多层流体界面上Richtmyer-Meshkov不稳定性研究[J].实验流体力学,2011,25(5):45-50.
[15]张鸣远,景思睿,李国君.高等工程流体力学[M].西安:西安交通大学出版社.2006.
[16]杜凯.激波诱导多层流体界面上的Richtmyer-Meshkov不稳定性现象的实验研究[D].杭州:浙江理工大学,2011.
[17]Alon U,Hecht J,Ofer D,et al.Power laws andsimilarity of Rayleigh-Taylor and Richtmyer-Meshkovmixing fronts at all density ratios[J].Phys Rev Lett,1995,74:534-53.
[18]Shi Honghui,Kishimoto Masami.Fluid mechanics inthe transient acceleration of a liquid column[J].Explosion and Shock Waves,2003,23(5):391-397.施红辉,岸本薰实.瞬态加速液柱的流体力学问题研究[J].爆炸与冲击,2003,23(5):391-397.
[2]Taylor G I.The instability of liquid surfaces whenaccelerated in a direction perpendicular to their planes[J].Proceedings of the Royal Society of London,SeriesA,Mathematical and Physical Sciences,1950,201(1065):192-196.
[3]Richtmyer R D.Taylor instability in shock accelerationof compressible fluids[J].Commun Pure Appl Maths,1960,13:297-319.
[4]Meshkov E E.Instability of the interface of two gasesaccelerated by a shock wave[J].Fluid Dynamics,1969,4:101-104.
[5]Lindl J D,Mccrory R L,Campbell E M.Progresstoward ignition and burn propagation in inertialconfinement fusion[J].Phys Fluids,1992,45:32-40.
[6]Arnett D.The role of mixing in astrophysics[J].Ap JSuppl,2000,127:213-217.
[7]Zhou Y,Remington B A,Robey H F,et al.Progressin understanding turbulent mixing induced by Rayleigh-Taylor and Richtmyer-Meshkov instabilities[J],PhysPlasmas,2003,10:1 883-1 896.
[8]Mikaelian K O.Extended model for Richtmyer-Meshkov mix[J].Physica D,2011,240:935-942.
[9]Brouilette M,Stuetevant B.Experiments on theRichtmyer-Meshkov instability:Small-scaleperturbations on a plane interface[J].Phys Fluids A,1993,5(4):916-930.
[10]Vetter M,Sturtevant B.Experiments on theRichtmyer-Meshkov instability of an air/SF6interface[J].Shock Waves,1995,4:247-252.
[11]Shi Honghui,Zhuo Qiwei.Evolution of the fluidmixing zone in Richtmyer-Meshkov instability at a gas/liquid interface[J].Chinese Journal of Theoretical andApplied Mechanics,2007,29(3):417-421.施红辉,卓启威.Richtmyer-Meshkov不稳定性流体混合区发展的实验研究[J].力学学报,2007,29(3):417-421.
[12]Shi H H,Zhang G,Du K,et al.Experimental studyof the mechanism of Richtmyer-Meshkov instability atagas/liquid interface[J].Journal of HydrodynamicsSer B,2009,21(3):423-428.
[13]张嘎.流体界面上Richtmyer-Meshkov不稳定性中的线性和非线性流体动力过程的实验研究[D].杭州:浙江理工大学,2009.
[14]Shi Honghui,Du Kai,Wang Chao,et al.Experimentalresearch on Richtmyer-Meshkov instability at themulti-layered fluid interfaces with different densitygradients[J].Journal of Experiments in FluidMechanics,2011,25(5):45-50.施红辉,杜凯,王超,等.不同密度梯度的多层流体界面上Richtmyer-Meshkov不稳定性研究[J].实验流体力学,2011,25(5):45-50.
[15]张鸣远,景思睿,李国君.高等工程流体力学[M].西安:西安交通大学出版社.2006.
[16]杜凯.激波诱导多层流体界面上的Richtmyer-Meshkov不稳定性现象的实验研究[D].杭州:浙江理工大学,2011.
[17]Alon U,Hecht J,Ofer D,et al.Power laws andsimilarity of Rayleigh-Taylor and Richtmyer-Meshkovmixing fronts at all density ratios[J].Phys Rev Lett,1995,74:534-53.
[18]Shi Honghui,Kishimoto Masami.Fluid mechanics inthe transient acceleration of a liquid column[J].Explosion and Shock Waves,2003,23(5):391-397.施红辉,岸本薰实.瞬态加速液柱的流体力学问题研究[J].爆炸与冲击,2003,23(5):391-397.