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Ablative Rayleigh–Taylor instability with strong temperature dependence of the thermal conductivity

Published online by Cambridge University Press:  02 May 2007

C. ALMARCHA ,
P. CLAVIN ,
L. DUCHEMIN  and
J. SANZ
C. ALMARCHA
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, Universités d'Aix Marseille et CNRS, 49 rue Joliot Curie, BP 146, 13384 Marseille cedex 13, France
P. CLAVIN
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, Universités d'Aix Marseille et CNRS, 49 rue Joliot Curie, BP 146, 13384 Marseille cedex 13, France
L. DUCHEMIN
Affiliation:
Institut de Recherche sur les Phénomènes Hors Equilibre, Universités d'Aix Marseille et CNRS, 49 rue Joliot Curie, BP 146, 13384 Marseille cedex 13, France
J. SANZ
Affiliation:
ETSI Aeronauticos, Universitad Politecnica de Madrid, Madrid 28040, Spain
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Abstract

An asymptotic analysis of Rayleigh–Taylor unstable ablation fronts encountered in inertial confinement fusion is performed in the case of a strong temperature dependence of the thermal conductivity. At leading order the nonlinear analysis leads to a free boundary problem which is an extension of the classical Rayleigh–Taylor instability with unity Atwood number and an additional potential flow of negligible density expelled perpendicular to the front. The nonlinear evolution of the front is analysed in two-dimensional geometry by a boundary integral method. The shape of the front develops a curvature singularity within a finite time, as for the Birkhoff–Rott equation for the Kelvin–Helmholtz instability.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 579 , 25 May 2007 , pp. 481 - 492
Copyright
Copyright © Cambridge University Press 2007

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