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Title: Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow

Abstract

Here, we report the first observations of Kelvin-Helmholtz vortices evolving from well-characterized, dual-mode initial conditions in a steady, supersonic flow. The results provide the first measurements of the instability's vortex merger rate and supplement data on the inhibition of the instability's growth rate in a compressible flow. These experimental data were obtained by sustaining a shockwave over a foam-plastic interface with a precision-machined seed perturbation. This technique produced a strong shear layer between two plasmas at high-energy-density conditions. The system was diagnosed using x-ray radiography and was well-reproduced using hydrodynamic simulations. Experimental measurements imply that we observed the anticipated vortex merger rate and growth inhibition for supersonic shear flow.

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [4];  [1];  [1];  [5]; ORCiD logo [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States); Nuclear Research Center, Negev (Israel)
  3. Nuclear Research Center, Negev (Israel); Ben Gurion Univ. of the Negev, Beer-Sheva (Israel)
  4. Univ. of Michigan, Ann Arbor, MI (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Univ. of Michigan, Ann Arbor, MI (United States); Nuclear Research Center, Negev (Israel); Ben Gurion Univ. of the Negev, Beer-Sheva (Israel)
Publication Date:
Research Org.:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)
OSTI Identifier:
1444110
Alternate Identifier(s):
OSTI ID: 1361851
Grant/Contract Number:  
NA0003527; NA0002719; NA0002956; AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 5; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Wan, W. C., Malamud, Guy, Shimony, A., Di Stefano, C. A., Trantham, M. R., Klein, S. R., Shvarts, D., Drake, R. P., and Kuranz, C. C. Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow. United States: N. p., 2017. Web. doi:10.1063/1.4982061.
Wan, W. C., Malamud, Guy, Shimony, A., Di Stefano, C. A., Trantham, M. R., Klein, S. R., Shvarts, D., Drake, R. P., & Kuranz, C. C. Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow. United States. doi:10.1063/1.4982061.
Wan, W. C., Malamud, Guy, Shimony, A., Di Stefano, C. A., Trantham, M. R., Klein, S. R., Shvarts, D., Drake, R. P., and Kuranz, C. C. Tue . "Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow". United States. doi:10.1063/1.4982061. https://www.osti.gov/servlets/purl/1444110.
@article{osti_1444110,
title = {Observation of dual-mode, Kelvin-Helmholtz instability vortex merger in a compressible flow},
author = {Wan, W. C. and Malamud, Guy and Shimony, A. and Di Stefano, C. A. and Trantham, M. R. and Klein, S. R. and Shvarts, D. and Drake, R. P. and Kuranz, C. C.},
abstractNote = {Here, we report the first observations of Kelvin-Helmholtz vortices evolving from well-characterized, dual-mode initial conditions in a steady, supersonic flow. The results provide the first measurements of the instability's vortex merger rate and supplement data on the inhibition of the instability's growth rate in a compressible flow. These experimental data were obtained by sustaining a shockwave over a foam-plastic interface with a precision-machined seed perturbation. This technique produced a strong shear layer between two plasmas at high-energy-density conditions. The system was diagnosed using x-ray radiography and was well-reproduced using hydrodynamic simulations. Experimental measurements imply that we observed the anticipated vortex merger rate and growth inhibition for supersonic shear flow.},
doi = {10.1063/1.4982061},
journal = {Physics of Plasmas},
number = 5,
volume = 24,
place = {United States},
year = {2017},
month = {4}
}

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Figures / Tables:

FIG. 1 FIG. 1: Schematic view of the target. The lasers are incident upon the PC ablator, and generate a shockwave which propagates in the direction of the CRF foam and PAI plastic. One of several varieties of seeded interfaces, created by superimposing two predetermined sine waves, is machined into the surfacemore » of the PAI plastic and CHI tracer.« less

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Works referenced in this record:

Observation of a Kelvin-Helmholtz Instability in a High-Energy-Density Plasma on the Omega Laser
journal, July 2009


Turbulent shear-layer mixing: growth-rate compressibility scaling
journal, July 2000


An overview of Rayleigh-Taylor instability
journal, July 1984


Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments
journal, August 2014

  • Malamud, G.; Leinov, E.; Sadot, O.
  • Physics of Fluids, Vol. 26, Issue 8
  • DOI: 10.1063/1.4893678

Statistical theory of vortex merger in the two-dimensional mixing layer
journal, January 1978

  • Takaki, Ryuji; Kovasznay, Leslie S. G.
  • Physics of Fluids, Vol. 21, Issue 2
  • DOI: 10.1063/1.862208

On the Evolution and Stability of a Protoplanetary Disk Dust Layer
journal, June 2004

  • Garaud, P.; Lin, D. N. C.
  • The Astrophysical Journal, Vol. 608, Issue 2
  • DOI: 10.1086/420839

A design of a two-dimensional, supersonic KH experiment on OMEGA-EP
journal, December 2013


Magnetic signatures of Kelvin-Helmholtz vortices on Saturn's magnetopause: Global survey: KELVIN-HELMHOLTZ INSTABILITY AT SATURN
journal, January 2013

  • Delamere, P. A.; Wilson, R. J.; Eriksson, S.
  • Journal of Geophysical Research: Space Physics, Vol. 118, Issue 1
  • DOI: 10.1029/2012JA018197

A spherical crystal imager for OMEGA EP
journal, March 2012

  • Stoeckl, C.; Fiksel, G.; Guy, D.
  • Review of Scientific Instruments, Vol. 83, Issue 3
  • DOI: 10.1063/1.3693348

Spherical Rayleigh–Taylor growth of three-dimensional broadband perturbations on OMEGA
journal, November 2009

  • Smalyuk, V. A.; Hu, S. X.; Hager, J. D.
  • Physics of Plasmas, Vol. 16, Issue 11
  • DOI: 10.1063/1.3253321

Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws
journal, June 2001

  • Oron, D.; Arazi, L.; Kartoon, D.
  • Physics of Plasmas, Vol. 8, Issue 6
  • DOI: 10.1063/1.1362529

XLVI. Hydrokinetic solutions and observations
journal, November 1871

  • Thomson, William
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 42, Issue 281
  • DOI: 10.1080/14786447108640585

Nonlinear Evolution of the Kelvin–Helmholtz Instability of Supersonic Tangential Velocity Discontinuities
journal, October 1997

  • Choudhury, S. Roy
  • Journal of Mathematical Analysis and Applications, Vol. 214, Issue 2
  • DOI: 10.1006/jmaa.1997.5594

Scaling laws of nonlinear Rayleigh-Taylor and Richtmyer-Meshkov instabilities in two and three dimensions
journal, August 2000

  • Shvarts, D.; Oron, D.; Kartoon, D.
  • Comptes Rendus de l'Académie des Sciences - Series IV - Physics, Vol. 1, Issue 6
  • DOI: 10.1016/S1296-2147(00)01077-5

Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios
journal, January 1995


Observation of Single-Mode, Kelvin-Helmholtz Instability in a Supersonic Flow
journal, October 2015


Vortex model for the nonlinear evolution of the multimode Richtmyer-Meshkov instability at low Atwood numbers
journal, December 1998


Instability, mixing, and transition to turbulence in a laser-driven counterflowing shear experiment
journal, January 2013

  • Doss, F. W.; Loomis, E. N.; Welser-Sherrill, L.
  • Physics of Plasmas, Vol. 20, Issue 1
  • DOI: 10.1063/1.4789618

Chaotic mixing as a renormalization-group fixed point
journal, April 1990


Design for a high energy density Kelvin–Helmholtz experiment
journal, October 2008


Observation and analysis of emergent coherent structures in a high-energy-density shock-driven planar mixing layer experiment
journal, August 2016


Non-spherical core-collapse supernovae: evolution towards homologous expansion
journal, October 2009


Observation of Self-Similar Behavior of the 3D, Nonlinear Rayleigh-Taylor Instability
journal, December 2005


Scale invariant mixing rates of hydrodynamically unstable interfaces
journal, May 1994


Effect of shock proximity on Richtmyer–Meshkov growth
journal, May 2003

  • Glendinning, S. G.; Bolstad, J.; Braun, D. G.
  • Physics of Plasmas, Vol. 10, Issue 5
  • DOI: 10.1063/1.1562165

Observation and modeling of mixing-layer development in high-energy-density, blast-wave-driven shear flow
journal, May 2014

  • Di Stefano, C. A.; Malamud, G.; Henry de Frahan, M. T.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4872223

Study of Nonlinear Evolution of Single-Mode and Two-Bubble Interaction under Richtmyer-Meshkov Instability
journal, February 1998


Measurements of an Ablator-Gas Atomic Mix in Indirectly Driven Implosions at the National Ignition Facility
journal, January 2014


The Effect of a Dominant Initial Single Mode on the Kelvin–Helmholtz Instability Evolution: New Insights on Previous Experimental Results
journal, April 2016

  • Shimony, Assaf; Shvarts, Dov; Malamud, Guy
  • Journal of Fluids Engineering, Vol. 138, Issue 7
  • DOI: 10.1115/1.4032530

XLIII. On discontinuous movements of fluids
journal, November 1868

  • Helmholtz,
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 36, Issue 244
  • DOI: 10.1080/14786446808640073

Kelvin-Helmholtz Instability of a Coronal Streamer
journal, August 2013


Vortex-merger statistical-mechanics model for the late time self-similar evolution of the Kelvin–Helmholtz instability
journal, December 2003

  • Rikanati, A.; Alon, U.; Shvarts, D.
  • Physics of Fluids, Vol. 15, Issue 12
  • DOI: 10.1063/1.1624837

Three-dimensional multimode Rayleigh–Taylor and Richtmyer–Meshkov instabilities at all density ratios
journal, July 2003


Relativistic jet Dynamics and Calorimetry of Gamma-Ray Bursts
journal, August 2011


Numerical simulation of the XZ Tauri supersonic astrophysical jet
journal, November 2009


On density effects and large structure in turbulent mixing layers
journal, July 1974


HYADES—A plasma hydrodynamics code for dense plasma studies
journal, January 1994

  • Larsen, Jon T.; Lane, Stephen M.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 51, Issue 1-2
  • DOI: 10.1016/0022-4073(94)90078-7

Oblique shocks and the combined Rayleigh–Taylor, Kelvin–Helmholtz, and Richtmyer–Meshkov instabilities
journal, June 1994


Measurement of Richtmyer–Meshkov mode coupling under steady shock conditions and at high energy density
journal, December 2015


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.