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Title: Magneto-Rayleigh-Taylor instability in solid media

Abstract

A linear analysis of the magneto-Rayleigh-Taylor instability at the interface between a Newtonian fluid and an elastic-plastic solid is performed by considering a uniform magnetic B{sup →}, parallel to the interface, which has diffused into the fluid but not into the solid. It is found that the magnetic field attributes elastic properties to the viscous fluid which enhance the stability region by stabilizing all the perturbation wavelengths shorter than λ{sub 0}∝B{sup 2} for any initial perturbation amplitude. Longer wavelengths are stabilized by the mechanical properties of the solid provided that the initial perturbation wavelength is smaller than a threshold value determined by the yield strength and the shear modulus of the solid. Beyond this threshold, the amplitude grows initially with a growth rate reduced by the solid strength properties. However, such properties do not affect the asymptotic growth rate which is only determined by the magnetic field and the fluid viscosity. The described physical situation intends to resemble some of the features present in recent experiments involving the magnetic shockless acceleration of flyers plates.

Authors:
 [1];  [2];  [2];  [3];  [4];  [4]
  1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000 (China)
  2. (China)
  3. E.T.S.I. Industriales (Spain)
  4. (Spain)
Publication Date:
OSTI Identifier:
22299834
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ACCELERATION; AMPLITUDES; ASYMPTOTIC SOLUTIONS; ELASTICITY; FLUIDS; INTERFACES; MAGNETIC FIELDS; PERTURBATION THEORY; RAYLEIGH-TAYLOR INSTABILITY; SHEAR; SOLIDS; STABILITY; VISCOSITY; WAVELENGTHS; YIELD STRENGTH

Citation Formats

Sun, Y. B., School of Physical Science and Technology, Lanzhou University, Lanzhou 73000, University of Chinese Academy of Sciences, Beijing 100049, Piriz, A. R., E-mail: roberto.piriz@uclm.es, CYTEMA, and Instituto de Investigaciones Energéticas, Universidad de Castilla-La Mancha, 13071 Ciudad Real. Magneto-Rayleigh-Taylor instability in solid media. United States: N. p., 2014. Web. doi:10.1063/1.4890569.
Sun, Y. B., School of Physical Science and Technology, Lanzhou University, Lanzhou 73000, University of Chinese Academy of Sciences, Beijing 100049, Piriz, A. R., E-mail: roberto.piriz@uclm.es, CYTEMA, & Instituto de Investigaciones Energéticas, Universidad de Castilla-La Mancha, 13071 Ciudad Real. Magneto-Rayleigh-Taylor instability in solid media. United States. doi:10.1063/1.4890569.
Sun, Y. B., School of Physical Science and Technology, Lanzhou University, Lanzhou 73000, University of Chinese Academy of Sciences, Beijing 100049, Piriz, A. R., E-mail: roberto.piriz@uclm.es, CYTEMA, and Instituto de Investigaciones Energéticas, Universidad de Castilla-La Mancha, 13071 Ciudad Real. Tue . "Magneto-Rayleigh-Taylor instability in solid media". United States. doi:10.1063/1.4890569.
@article{osti_22299834,
title = {Magneto-Rayleigh-Taylor instability in solid media},
author = {Sun, Y. B. and School of Physical Science and Technology, Lanzhou University, Lanzhou 73000 and University of Chinese Academy of Sciences, Beijing 100049 and Piriz, A. R., E-mail: roberto.piriz@uclm.es and CYTEMA and Instituto de Investigaciones Energéticas, Universidad de Castilla-La Mancha, 13071 Ciudad Real},
abstractNote = {A linear analysis of the magneto-Rayleigh-Taylor instability at the interface between a Newtonian fluid and an elastic-plastic solid is performed by considering a uniform magnetic B{sup →}, parallel to the interface, which has diffused into the fluid but not into the solid. It is found that the magnetic field attributes elastic properties to the viscous fluid which enhance the stability region by stabilizing all the perturbation wavelengths shorter than λ{sub 0}∝B{sup 2} for any initial perturbation amplitude. Longer wavelengths are stabilized by the mechanical properties of the solid provided that the initial perturbation wavelength is smaller than a threshold value determined by the yield strength and the shear modulus of the solid. Beyond this threshold, the amplitude grows initially with a growth rate reduced by the solid strength properties. However, such properties do not affect the asymptotic growth rate which is only determined by the magnetic field and the fluid viscosity. The described physical situation intends to resemble some of the features present in recent experiments involving the magnetic shockless acceleration of flyers plates.},
doi = {10.1063/1.4890569},
journal = {Physics of Plasmas},
number = 7,
volume = 21,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}