Technical Brief

Models for Crenulation of a Converging Shell

[+] Author and Article Information
Len G. Margolin

X-Computational Physics Division,
Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: len@lanl.gov

Malcolm J. Andrews

X-Computational Physics Division,
Los Alamos National Laboratory,
Los Alamos, NM 87545
e-mail: mandrews@lanl.gov

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 30, 2013; final manuscript received October 7, 2013; published online May 15, 2014. Assoc. Editor: Ye Zhou.

J. Fluids Eng 136(8), 084501 (May 15, 2014) (4 pages) Paper No: FE-13-1345; doi: 10.1115/1.4025868 History: Received May 30, 2013; Revised October 07, 2013

We describe two models for the growth of perturbations on the inner surface of a converging shell: one for a solid shell and one for a shell of incompressible fluid. We consider the cases of both cylindrically and spherically symmetric geometries.

Copyright © 2014 by ASME
Topics: Wavelength , Shells , Fluids
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Bell, G. I., 1951, “Taylor Instability on Cylinders and Spheres in the Small Amplitude Approximation,” Los Alamos Scientific Laboratory Report No. LA-1321.
Plesset, M. S., 1954, “On the Stability of Fluid Flows With Spherical Symmetry,” J. Appl. Phys.25, pp. 96–98. [CrossRef]
Birkhoff, G., 1954, “Note on Taylor Instability,” Q. Appl. Math., 12, pp. 306–309.
Amendt, P., Colvin, J. D., Ramshaw, J. D., Robey, H. R., and Landen, O. L., 2003, “Modified Bell-Plesset Effect With Compressibility: Application to Double-Shell Ignition Target Designs,” Phys. Plasmas, 10, pp. 820–829. [CrossRef]
Brouilette, M., 2002, “The Richtmyer-Meshkov Instability,” Annu. Rev. Fluid Mech., 34, pp. 445–468. [CrossRef]
Atzeni, S., and Meyer-Ter-Vehn, J., 2009, The Physics of Inertial Fusion, Oxford University Press, New York.
Buttler, W. T., Oro, D. M., Preston, D. L., Mikaelian, K. Cherne, F. J., Hixson, R. S., Mariam, F. G., Morris, C., Stone, J. B., Terrones, G., and Tupa, D., 2012, “Unstable Richtmyer-Meshkov Growth of Solid and Liquid Metals in Vacuum,” J. Fluid Mech., 703, pp. 60–84. [CrossRef]
Dimonte, G., Terrones, G., Cherne, F. J., and Ramaprabhu, P., 2013, “Ejecta Source Model Based on the Nonlinear Richtmyer-Meshkov Instability,” J. Appl. Phys., 113, pp. 1–19. [CrossRef]
Carroll, M. M., and Holt, A. C., 1972: “Static and Dynamic Pore-Collapse Relations for Ductile Porous Materials,” J. Appl. Phys., 43, pp. 1626–1636. [CrossRef]
Plohr, J. N., and Plohr, B. J., 2005: “Linearized Analysis of Richtmyer-Meshkov Flow for Elastic Materials,” J. Fluid Mech., 537, pp. 55–89. [CrossRef]
Piriz, A. R., López Cela, J. J. N. A., Tahir, N. A., and Hoffmann, D. H. H., 2008, “Richtmyer-Meshkov Instability in Elastic-Plastic Media,” Phys. Rev. E, 78, p. 056401. [CrossRef]


Grahic Jump Location
Fig. 1

The initial perturbation. The dotted line represents the inner surface of the shell. The initial amplitude in all four cases is assumed much smaller than the wavelength and is exaggerated in the figure.



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