Experimental and Numerical Investigation of the Inclined Air/SF-6 Interface Instability Under Shock Wave

WANG Tao; LIU Jin-hong; BAI Jing-song; JIANG Yang; LI Ping; LIU Kun

doi:10.3879/j.issn.1000-0887.2012.01.004

Volume 33 Issue 1

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WANG Tao, LIU Jin-hong, BAI Jing-song, JIANG Yang, LI Ping, LIU Kun. Experimental and Numerical Investigation of the Inclined Air/SF-6 Interface Instability Under Shock Wave[J]. Applied Mathematics and Mechanics, 2012, 33(1): 35-47. doi: 10.3879/j.issn.1000-0887.2012.01.004

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Experimental and Numerical Investigation of the Inclined Air/SF-6 Interface Instability Under Shock Wave

doi: 10.3879/j.issn.1000-0887.2012.01.004

Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, Sichuan 621900, P.R.China

Received Date: 2011-01-18
Rev Recd Date: 2011-11-08
Publish Date: 2012-01-15

Abstract

Abstract

Shock tube experiments of inclined Air/SF-6 interface instability under shock wave with mach numbers 1.23 and 1.41 were conducted, and were numerically simulated by the parallel algorithm and code MVFT (multi-viscous-fluid and turbulence) of large-eddy simulation (LES). The developing process of interface accelerated by shock wave was reproduced by simulations, the complex waves structure, e.g. the propagation, refraction and reflection of shock wave were revealed clearly in flows. The simulated evolving images of interface are consistent with experimental ones. The simulated width of turbulent mixing zone (TMZ), the displacements of bubble and spike also agree well with the experimental data. And the reliability and effectiveness of MVFT to simulate this problem of interface instability are validated. The more energy is injected into the TMZ when the shock wave has a larger mach number, the perturbed interface is developing faster.
- interface instability,
- MVFT,
- large-eddy simulation,
- turbulent mixing zone,
- validation

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References(28)

References

[1]	Richtmyer R D. Taylor instability in shock acceleration of compressible fluids[J]. Communications on Pure and Applied Mathematics, 1960, 13(2): 297-319.
[2]	Meshkov E E. Instability of the interface of two gases accelerated by a shock wave[J]. Soviet Fluid Dynamics,1969, 4(5): 101-104.
[3]	Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability[M]. London: Oxford University Press, 1961: 480-514.
[4]	Committee on High Energy Density Plasma Physics, Plasma Science Committee, Board on Physics and Astronomy, Division on Engineering and Physical Science. Frontiers in High Energy Density Physics[M]. Washington D C: the National Academies Press, 2001.
[5]	Dimonte G, Schneider M B. Turbulent Rayleigh-Taylor instability experiments with variable acceleration[J]. Physical Review E, 1996, 54(4): 3740-3743.
[6]	Kucherenkol Y A, Pylaev A P, Murzakov V D, Popov V N, Komarov O R, Savelev V E, Cherret R, Hass J F. Experimental study into the asymptotic stage of the separation of the turbulized mixtures in gravitationally stable mode[C]Young R, Glimm J, Boston B. Proceedings of Fifth International Workshop on Compressible Turbulent Mixing.New York: Stony Brook University Press, 1996: 221-229.
[7]	Jacobs J W, Sheeley J M. Experimental study of incompressible Richtmyer-Meshkov instability[J]. Physics of Fluids, 1996, 8(2): 405-415.
[8]	Meshkov E E, Nevmerzhitsky N V, Pavlovskii V A, Rogatchev V G, Zhidov I G. Jelly technique applications in evolution study of hydrodynamic instabilities on unstable plane and cylindrical surfaces[C]Young R, Glimm J, Boston B. Proceedings of Fifth International Workshop on Compressible Turbulent Mixing.New York: Stony Brook University Press, 1996: 243-250.
[9]	Houas L, Jourdan G, Schwaederlé L, Carrey R, Diaz F. A new large cross-section shock tube for studies of turbulent mixing induced by interfacial hydrodynamic instability[J]. Shock Waves, 2003, 13(5): 431-434.
[10]	Hosseini S H R, Takayama K. Experimental study of Richtmyer-Meshkov instability induced by cylindrical shock waves[J]. Physics of Fluids, 2005, 17(8): 084101-1-17.
[11]	Holder D A, Barton C J. Shock tube Richtmyer-Meshkov experiments: inverse chevron and half height[C]Dalziel S B.Proceedings of Ninth International Workshop on Compressible Turbulent Mixing.Cambridge: Cambridge University Press, 2004: 365-373.
[12]	Jones M A, Jacobs J W. A membraneless experiment for the study of Richtmyer-Meshkov instability of a shock-accelerated gas interface[J]. Physics of Fluids, 1997, 9(10): 3078-3085.
[13]	Rightley P M, Vorobieff P, Martin R, Benjamin R F. Experimental observations of the mixing transition in a shock-accelerated gas curtain[J]. Physics of Fluids, 1999, 11(1): 186-200.
[14]	Balakumar B J, Orlicz G C, Tomkins C D, Prestridge K P. Simultaneous particle-image velocimetry-planar laser-induced fluorescence measurements of Richtmyer-Meshkov instability growth in a gas curtain with and without reshock[J]. Physics of Fluids, 2008, 20(12): 124103-1-20.
[15]	Jacobs J W. The dynamics of shock accelerated light and heavy gas cylinders[J]. Physics of Fluids A, 1993, 5(9): 2239-2247.
[16]	Tomkins C D, Prestridge K P, Rightley P M, Marr-Lyon M, Vorobieff P, Benjamin R. A quantitative study of the interaction of two Richtmyer-Meshkov-unstable gas cylinders[J]. Physics of Fluids, 2003, 15(4): 986-1004.
[17]	Kumar S, Vorobieff P, Orlicz G, Palekar A, Tomkins C, Goodenough C, Marr-Lyon M, Prestridge K P, Benjamin R F. Complex flow morphologies in shock-accelerated gaseous flows[J]. Physica D, 2007, 235(1/2): 21-28.
[18]	Mügler C, Gauthier S. Two-dimensional Navier-Stokes simulations of gaseous mixtures induced by Richtmyer-Meshkov instability[J]. Physics of Fluids, 2000, 12(7): 1783-1798.
[19]	Zoldi C A. Simulations of a shock-accelerated gas cylinder and comparison with experimental images and velocity fields[C]Schilling O.Proceedings of Eighth International Workshop on Compressible Turbulent Mixing. California: California Institute of Technology Press, 2002: 1-24.
[20]	Cohen R H, Dannevik W P, Dimits A M, Eliason D E, Mirin A A, Zhou Y, Porter D H, Woodward P R. Three-dimensional simulation of a Richtmyer-Meshkov instability with a two-scale initial perturbation[J]. Physics of Fluids, 2002, 14(10): 3692-3709.
[21]	Bates K R, Nikiforakis N, Holder D. Richtmyer-Meshkov instability induced by the interaction of a shock wave with a rectangular block of SF6[J]. Physics of Fluids, 2007, 19(3): 036101-1-16.
[22]	Colella P, Woodward P R. The piecewise parabolic method (PPM) for gas-dynamical simulations[J]. Journal of Computational Physics, 1984, 54(1): 174-201.
[23]	Hirt C W, Nichols B D. Volume of fluid (VOF) method for the dynamics of free boundaries[J]. Journal of Computational Physics, 1981, 39(1): 201-225.
[24]	Wang T, Bai J S, Li P, Liu K. Large-eddy simulations of the Richtmyer-Meshkov instability of rectangular interface accelerated by shock waves[J]. Science in China Series G, 2010, 53(5): 905-914.
[25]	Bai J S, Liu J H, Wang T, Zou L Y, Li P, Tan D W. Investigation of the Richtmyer-Meshkov instability with double perturbation interface in nonuniform flows[J]. Physical Review E, 2010, 81(5): 056302-1-5.
[26]	Vreman A W. An eddy-viscosity subgrid-scale model for turbulent shear flow: algebraic theory and applications[J]. Physics of Fluids, 2004, 16(10): 3670-3681.
[27]	Lilly D K. The representation of small-scale turbulence in numerical simulation experiments[C]Goldstine H H.Proceedings of IBM Scientific Computing Symposium on Environmental Sciences. New York: Yorktown Heights, 1967: 195-210.
[28]	王继海. 二维非定常流和激波[M]. 北京: 科学出版社, 1994: 74. (WANG Ji-hai. Two-Dimensional Nonsteady Flow and Shock Waves[M]. Beijing: Science Press, 1994: 74.(in Chinese))