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Original Articles

COMPARISON OF FLAME-FRONT INSTABILITIES WITH INSTABILITIES OF ABLATION FRONTS IN INERTIAL-CONFINEMENT FUSION

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Pages 979-989 | Received 21 Feb 2004, Accepted 01 May 2004, Published online: 30 Aug 2006
 

ABSTRACT

There are both similarities and differences between instabilities of planar laminar flame fronts and ablation fronts in inertial-confinement fusion (ICF). The mathematical formulation of the problem in ICF is the same as for flames propagating upward; the differences stem from the different order of magnitude of the Froude number and thermal conductivity variations. When the thermal conductivity varies strongly, as in ICF, a wide range of characteristic diffusive lengths occurs across the wave structure. For disturbances with intermediate wavelengths, there is then a universal diffusive relaxation rate of thermal waves that is independent of the thermal conductivity. A kinematic relation for the ablation front is discussed here that includes this thermal relaxation. The resulting formulation facilitates comparison of the two types of fronts.

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