激波冲击锯齿形界面的气泡竞争实验研究

翟志刚; 郭旭; 司廷

doi:10.7638/kqdlxxb-2020.0020

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

激波冲击锯齿形界面的气泡竞争实验研究

专栏——中国流动稳定性和转捩研究40年 | 更新时间：2026-05-28

- 激波冲击锯齿形界面的气泡竞争实验研究
- Experimental study on bubble competition of shock-accelerated saw-tooth interface
- 空气动力学学报 2020年38卷第2期页码：339-347
- 作者机构：
  
  中国科学技术大学近代力学系,合肥,230027
- 作者简介：
  
  翟志刚(1985-), 男, 安徽人, 副教授, 博士, 研究方向:实验流体力学, 激波动力学.E-mail:sanjing@ustc.edu.cn
  司廷(1983-), 男, 特任教授, 博导, 研究方向:实验流体力学, 复杂界面流动.E-mail:tsi@ustc.edu.cn
- 基金信息：
  
  国家自然科学基金（11772329，11722222）;中科院青促会人才专项（2018491）
- DOI：10.7638/kqdlxxb-2020.0020
  中图分类号： V211.7
- 纸质出版：2020
- 稿件说明：
移动端阅览
翟志刚, 郭旭, 司廷. 激波冲击锯齿形界面的气泡竞争实验研究[J]. 空气动力学学报, 2020, 38(2): 339-347.

ZHAI Zhigang, GUO Xu, SI Ting. Experimental study on bubble competition of shock-accelerated saw-tooth interface[J]. 2020, 38(2): 339-347.
翟志刚, 郭旭, 司廷. 激波冲击锯齿形界面的气泡竞争实验研究[J]. 空气动力学学报, 2020, 38(2): 339-347. DOI： 10.7638/kqdlxxb-2020.0020.

ZHAI Zhigang, GUO Xu, SI Ting. Experimental study on bubble competition of shock-accelerated saw-tooth interface[J]. 2020, 38(2): 339-347. DOI： 10.7638/kqdlxxb-2020.0020.

摘要

通过实验在激波管中研究了平面激波冲击锯齿形界面的流动不稳定性演化过程，重点关注锯齿形界面初始顶角角度对气泡竞争的影响。利用肥皂膜技术生成初始气体界面，并采用高速摄影结合纹影方法对波后流场进行观测。结果表明：在界面发展早期，大、小界面几乎独立发展，说明气泡竞争在早期不起作用；随着时间发展，气泡竞争起作用，且随着锯齿形界面角度改变而变化，角度越小，界面上产生的斜压涡量越大，界面发展越快，气泡竞争越早出现且作用越显著。气泡竞争能够促进大气泡、抑制小气泡的振幅增长，且对小气泡的影响更大。气泡竞争同时会导致尖钉结构扭曲，进而改变界面总体振幅。气泡头部位移差在进入非线性增长之前会经历两个线性阶段，且第二个线性增长率较小，表明非线性效应在该阶段具有重要作用，大气泡受到非线性效应的影响更大。不同条件下的气泡位移差无法归一化，说明初始顶角角度对气泡竞争和界面演化具有重要影响。

Abstract

The flow instability development of a shock-accelerated saw-tooth interface has been studied in shock tube experiments

and the effect of initial vertex angle on the bubble competition is highlighted. The soap film technique is adopted to generate the initial saw-tooth gaseous interface

and the post-shock flow is captured by a high-speed video camera combined with the schlieren photography. The results show that at the very early stages

the large and small bubbles develop independently

implying that the bubble competition does not work initially. As the time goes by

the bubble competition plays an important role

and behaves differently for the saw-tooth interface with different vertex angles. As the vertex angle reduces

more baroclinic vorticity is deposited with the interface developing more quickly

and the bubble competition occurs earlier and becomes more significant. The bubble competition promotes the large bubble growth

whereas it inhibits the small bubble growth. Relatively

the bubble competition has a more prominent effect on the small bubble growth. Moreover

the bubble competition will distort the spike head

which will affect the total interface amplitude growth. The bubble front difference seems to experience two linear stages before it enters nonlinear stage. The growth rate in the second linear stage is smaller than that in the first linear stage

indicating that the nonlinearity exerts a significant effect to the flow in the second stage. Specifically

the nonlinearity plays a more significant effect on the large bubble growth. The bubble front difference cannot collapse in dimensionless form

which means the vertex angle has a great influence on the saw-tooth interface development.

关键词

Keywords

references

RICHTMYER R D. Taylor instability in shock acceleration of compressible fluids[J]. Communications on Pure and Applied Mathematics, 1960, 13(2):297-319. https://doi.org/10.1002/cpa.3160130207

MESHKOV E E. Instability of the interface of two gases accelerated by a shock wave[J]. Fluid Dynamics, 1972, 4(5):101-104. https://doi.org/10.1007/BF01015969

LINDL J, LANDEN O, EDWARDS J, et al. Review of the national ignition campaign 2009-2012[J]. Physics of Plasmas, 2014, 21(2):020501. https://doi.org/10.1063/1.4865400

YANG J, KUBOTA T, ZUKOSKI E E. Applications of shock-induced mixing to supersonic combustion[J]. AIAA Journal, 1993, 31(5):854-862. https://doi.org/10.2514/3.11696

SHIMODA J, INOUE T, OHIRA Y, et al. On cosmic-ray production efficiency at Supernova Remnant shocks propagating into realistic diffuse interstellar medium[J]. The Astrophysical Journal, 2015, 803:98-103. http://doi:10.1088/0004-637X/803/2/98

BROUILLETTE M. The Richtmyer-Meshkov instability[J]. Annual Review of Fluid Mechanics, 2002, 34(1):445-468. https://doi.org/10.1146/annurev.fluid.34.090101.162238

RANJAN D, OAKLEY J, BONAZZA R. Shock-bubble interactions[J]. Annual Review of Fluid Mechanics, 2011, 43(1):117-140. https://doi.org/10.1146/annurev-fluid-122109-160744

LUO X S, ZHAI Z G, SI T, et al. Experimental study on the interfacial instability induced by shock waves[J]. Advances in Mechanics, 2014, 44(1):260-290. https://doi.org/10.6052/1000-0992-14-028

ZHOU Y. Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I[J]. Physics Reports, 2017, 720:1-136. http://doi.org/10.1016/j.physrep.2017.07.005

ZHOU Y. Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. Ⅱ[J]. Physics Reports, 2017, 723:1-160. https://doi.org/10.1016/j.physrep.2017.07.005

ZHAI Z G, ZOU L Y, WU Q, et al. Review of experimental Richtmyer-Meshkov instability in shock tube:From simple to complex[J]. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2018, 232(16):2830-2849. https://doi.org/10.1177/0954406217727305

JACOBS J W, KRIVETS V V. Experiments on the late-time development of single-mode Richtmyer-Meshkov instability[J]. Physics of Fluids, 2005, 17(3):034105. https://doi.org/10.1063/1.1852574

DIMONTE G, RAMAPRABHU P. Simulations and model of the nonlinear Richtmyer-Meshkov instability[J]. Physics of Fluids, 2010, 22(1):014104. https://doi.org/10.1063/1.3276269

LUO X S, WANG X S, SI T. The Richtmyer-Meshkov instability of a three-dimensional interface with a minimum-surface feature[J]. Journal of Fluid Mechanics, 2013, 722:R2. http://doi.org/10.1017/jfm.2013.148

LIU L L, LIANG Y, DING J C, et al. An elaborate experiment on the single-mode Richtmyer-Meshkov instability[J]. Journal of Fluid Mechanics, 2018, 853:R2. http://doi.org/10.1017/jfm.2018.628

ZHANG W B, ZOU L Y. On themicroscale effect of Richtmyer-Meshkov instability on perturbation growth rate of impact model[J]. Journal of Experimental Mechanics, 2019, 34(1):47-54. http://doi.org/10.7520/1001-4888-17-114

YANG M, WANG L L, ZHANG S D, et al. The study of turbulent mixing induced by Richtmyer-Meshkov instability using turbulence model[J]. Acta Aerodynamica Sinica, 2010, 28(1):119-123.

RIKANATI A, ALON U, SHVARTS D. Vortex model for the nonlinear evolution of the multimode Richtmyer-Meshkov instability at low Atwood numbers[J]. Physical Review E, 1998, 58(6):7410-7418. https://doi.org/10.1103/PhysRevE.58.7410

GLENDINNING S, BOLSTAD J, BRAUN D, et al. Effect of shock proximity on Richtmyer-Meshkov growth[J]. Physics of Plasmas, 2003, 10, 1931-1936. http://doi.org/10.1063/1.1562165

SADOT O, EREZ L, ALON U, et al. Study of nonlinear evolution of single-mode and two-bubble interaction under Richtmyer-meshkov instability[J]. Physical Review Letters, 1998, 80(8):1654-1657. https://doi.org/10.1103/PhysRevLett.80.1654

JACOBS J W. Shock-induced mixing of a light-gas cylinder[J]. Journal of Fluid Mechanics, 1992, 234:629-649. http://doi.org/10.1017/s0022112092000946

TOMKINS C, KUMAR S, ORLICZ G, et al. An experimental investigation of mixing mechanisms in shock-accelerated flow[J]. Journal of Fluid Mechanics, 2008, 611:131-150. http://doi.org/10.1017/S0022112008002723

ZHAI Z G, SI T, LUO X S, et al. On the evolution of spherical gas interfaces accelerated by a planar shock wave[J]. Physics of Fluids, 2011, 23(8):084104. https://doi.org/10.1063/1.3623272

ZHAI Z G, WANG M H, SI T, et al. On the interaction of a planar shock with a light polygonal interface[J]. Journal of Fluid Mechanics, 2014, 757:800-816. http://doi.org/10.1017/jfm.2014.516

LUO X S, DONG P, SI T, et al. The Richtmyer-Meshkov instability of a 'V' shaped air/interface[J]. Journal of Fluid Mechanics, 2016, 802:186-202. http://doi.org/10.1017/jfm.2016.476

ZHAI Z G, OU J F, DING J C. Coupling effect on shocked double-gas cylinder evolution[J]. Physics of Fluids, 2019, 31(9):096104. https://doi.org/10.1063/1.5119003

GUO X, ZHAI Z G, SI T, et al. Bubble merger in initial Richtmyer-Meshkov instability on inverse-chevron interface[J]. Physical Review Fluids, 2019, 4(9):092001. http://doi.org/10.1103/PhysRevFluids.4.092001

LUO X S, WANG X S, CHEN M J, et al. Experimental study of shock interacting with well-controlled gas cylinder generated by soap film[J]. Journal of Experiments in Fluid Mechanics, 2014, 28(2):7-13, 26. http://doi.org/10.11729/syltlx20140015

ZHANG Q, SOHN S I. An analytical nonlinear theory of Richtmyer-Meshkov instability[J]. Physics Letters A, 1996, 212(3):149-155. https://doi.org/10.1016/0375-9601(96)00021-7

ZHANG Q, SOHN S I. Nonlinear theory of unstable fluid mixing driven by shock wave[J]. Physics of Fluids, 1997, 9(4):1106-1124. https://doi.org/10.1063/1.869202

MIKAELIAN K O.Richtmyer-Meshkov instability of arbitrary shapes[J]. Physics of Fluids, 2005, 17(3):034101. https://doi.org/10.1063/1.1848547

NIEDERHAUS C E, JACOBS J W. Experimental study of the Richtmyer-Meshkov instability of incompressible fluids[J]. Journal of Fluid Mechanics, 2003, 485:243-277. http://doi.org/10.1017/S002211200300452X

VANDENBOOMGAERDE M, GAUTHIER S, MVGLER C. Nonlinear regime of a multimode Richtmyer-Meshkov instability:a simplified perturbation theory[J]. Physics of Fluids, 2002, 14(3):1111-1122. https://doi.org/10.1063/1.1447914

LIANG Y, ZHAI Z G, DING J C, et al. Richtmyer-Meshkov instability on a quasi-single-mode interface[J]. Journal of Fluid Mechanics, 2019, 872:729-751. http://doi.org/10.1017/jfm.2019.416

MCFARLAND J A, GREENOUGH J A, RANJAN D. Investigation of the initial perturbation amplitude for the inclined interface Richtmyer-Meshkov instability[J]. Physica Scripta, 2013, T155:014014. http://doi.org/10.1088/0031-8949/2013/T155/014014

MCFARLAND J, REILLY D, CREEL S, et al. Experimental investigation of the inclined interface Richtmyer-Meshkov instability before and after reshock[J]. Experiments in Fluids, [WX)][WX(4.5mm, 75.5mm] 2014, 55:1640-1653. http://doi.org/10.1007/s00348-013-1640-1

MOHAGHAR M, CARTER J, MUSCI B, et al. Evaluation of turbulent mixing transition in a shock-driven variable-density flow[J]. Journal of Fluid Mechanics, 2017, 831:779-825. http://doi.org/10.1017/jfm.2017.664

LEWIS D J. The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Ⅱ[J]. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 1950, 202(1068):81-96. https://doi.org/10.1098/rspa.1950.0086

SHARP D H. An overview of Rayleigh-Taylor instability[J]. Physica D:Nonlinear Phenomena, 1984, 12(1/2/3):3-18. https://doi.org/10.1016/0167-2789(84)90510-4

ALON U, SHVARTS D, MUKAMEL D. Scale-invariant regime in Rayleigh-Taylor bubble-front dynamics[J]. Physical Review E, 1993, 48(2):1008-1014. http://doi.org/10.1103/physreve.48.1008

ALON U, HECHT J, MUKAMEL D, et al. Scale invariant mixing rates of hydrodynamically unstable interfaces[J]. Physical Review Letters, 1994, 72(18):2867-2870. http://doi.org/10.1103/PhysRevLett.72.2867

ZUFIRIA J A. Bubble competition in Rayleigh-Taylor instability[J]. Physics of Fluids, 1988, 31(3):440-446. https://doi.org/10.1063/1.866825

SOHN S I. Bubble interaction model for hydrodynamic unstable mixing[J]. Physical Review E, 2007, 75(6):066312. http://doi.org/10.1103/PhysRevE.75.066312

SOHN S I. Quantitative modeling of bubble competition in Richtmyer-Meshkov instability[J]. Physical Review E, 2008, 78:017302. http://doi.org/10.1103/PhysRevE.78.017302

LUO X S, LIANG Y, SI T, et al. Effects of non-periodic portions of interface on Richtmyer-Meshkov instability[J]. Journal of Fluid Mechanics, 2019, 861:309-327. http://doi.org/10.1017/jfm.2018.923

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

类HyTRV升力体阻尼/交叉动导数特性分析

离心通风机降噪研究进展

大展弦比飞行器突风响应数值计算

热防护材料动态烧蚀形貌结构光视觉测量技术

基于LBM方法的LAGOON起落架噪声预测与降噪方法研究