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Journal of Applied Mechanics and Technical Physics

2015 year, number 1

On some features of plane waves of thermonuclear burn

K. V. Khishchenko1, A. A. Charakhch'yan2
1Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow, 125412 Russia
2Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, 119333 Russia
Keywords: slow burn wave, detonation wave, flow with a linear velocity profile, energy of ignition, cylindrical target, inertial confinement fusion

Abstract

The behavior of a slow burn wave propagating over a precompressed thermonuclear fuel heated by several shock waves generated by a laser pulse is studied. It is shown that such a burn wave can rapidly increase the fuel density ahead of the wave front and transform to a pair of detonation waves moving in the opposite directions. Hydrodynamic equations with a linear velocity profile are solved. It is found that the proton beam intensity necessary for ignition increases with the initial fuel density in accordance with the known formula generalizing results of two-dimensional simulations. A possibility of using results of one-dimensional simulations for determining the energy of ignition of a cylindrical target is discussed.