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Shock-tube experiments on Richtmyer–Meshkov instability growth using an enlarged double-bump perturbation

Published online by Cambridge University Press:  03 March 2004

D.A. HOLDER ,
A.V. SMITH ,
C. J. BARTON  and
D.L. YOUNGS
D.A. HOLDER
Affiliation:
Atomic Weapons Establishment, Reading, Berkshire, United Kingdom
A.V. SMITH
Affiliation:
Atomic Weapons Establishment, Reading, Berkshire, United Kingdom
C. J. BARTON
Affiliation:
Atomic Weapons Establishment, Reading, Berkshire, United Kingdom
D.L. YOUNGS
Affiliation:
Atomic Weapons Establishment, Reading, Berkshire, United Kingdom
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Abstract

This article reports on the latest experiments in the series of Richtmyer–Meshkov instability (RMI) shock-tube experiments. Previous work described a double-bump experiment that evidenced some degree of unrepeatability. The present work features an enlarged perturbation introduced to improve repeatability. In common with the previous work, the experiments were conducted at shock Mach number 1.26 (70 kPa overpressure), using the Atomic Weapons Establishment 200 × 100 mm shock tube with a three-zone test cell arrangement of air/sulphur hexafluoride/air. The sulphur hexafluoride gas (SF6) was chosen for its high density (5.1 relative to air) providing an Atwood number of 0.67. Gas separation was by means of microfilm membranes, supported by fine wire meshes. A double-bump perturbation of two-dimensional geometry was superimposed on the downstream membrane representing a 0.6% addition to the dense gas volume. Visualization of the turbulent gas mixing was by laser sheet illumination of the seeded SF6 gas using a copper vapor laser pulsing at 12.5 kHz. Mie scattered light was recorded using a 35-mm rotating drum camera to capture a sequence of 50 images per experiment. Sample experimental results shown alongside corresponding three-dimensional hydrocode calculations highlight the problems in both analysis and comparison caused by multiple scattering arising from the necessary use of a high seeding concentration. Included is a demonstration of the effectiveness of introducing into the hydrocode a Monte Carlo-based simulation of the multiple scattering process. The results so derived yield greatly improved qualitative agreement with the experimental images. Quantitative analysis took the form of deriving relative intensity data from line-outs through experimental images and their code equivalents. A comparison revealed substantial agreement on major features.

Keywords

Compressible turbulent mixingLaser sheet techniqueMie scatteringMultiple scatteringRichtmyer–Meshkov instability
Type
Research Article
Information
Laser and Particle Beams , Volume 21 , Issue 3 , July 2003 , pp. 411 - 418
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Giddings, R., Holder, D.A., Philpott, M.K., & Youngs, D.L. (1999). An investigation of the problem of multiple scattering from seeding particles in laser sheet turbulent mix visualization studies. Proc. 7th Int. Workshop on the Physics of Compressible Turbulent Mixing, pp. 22–27. (Meshkov, E., Yanilkin, Yu. & Zhmailo, V., Eds.). Sarov, Russia: RFNC-VNIIEF.
Holder, D.A. (1998). Explanation of the observed anomaly in the analysis of the photographic images from the shock tube experiments. Report No. AWE/HDFM/B/9812/910. Reading, Berkshire, UK: Atomic Weapons Establishment.
Holder, D.A., Philpott, M.K., & Youngs, D.L. (2001). An investigation of the problem on multiple scattering from seeding particles in laser sheet studies of shock induced gas mixing. Proc. 23rd Int. Symposium on Shock Waves, pp. 1133–1139. (Lu, F.K., Ed.). Arlington, Texas: The University of Texas at Arlington.
Linden, P.F., Redondo, J.M., & Youngs, D.L. (1994). Molecular mixing in Rayleigh–Taylor instability. J. Fluid Mech. 265, 97–124.Google Scholar
Smith, A.V., Philpott, M.K., Millar, D.B., Holder, D.A., Cowperthwaithe, N.W., & Youngs, D.L. (1997). Shock tube investigations of the Richtmyer–Meshkov instability due to a single discrete perturbation on a plane gas discontinuity. Proc. of the 6th Int. Workshop on the Physics of Compressible Turbulent Mixing, pp. 480–485. Marseille, France: Imprimerie Caractère.
Smith, A.V., Holder, D.A., Philpott, M.K., & Millar, D.B. (1999). Notch and double bump experiments using the 200 × 100 mm linear shock tube. Proc. 7th Int. Workshop on the Physics of Compressible Turbulent Mixing, pp. 124–130. (Meshkov, E., Yanilkin, Yu. & Zhmailo, V., Eds.). Sarov, Russia: RFNC-VNIIEF.