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This article is cited in 1 scientific paper (total in 1 paper)
Interaction of laser radiation with matter. Laser plasma
Two-dimensional nonlinear heat conduction wave in a layer-inhomogeneous medium and the characteristics of heat transfer in laser thermonuclear fusion targets
S. Yu. Gus'kov, I. Ya. Doskach P. N. Lebedev Physical Institute, Russian Academy of Sciences, Moscow
Abstract:
An analytical solution is obtained to the problem of propagation of a 2-D nonlinear heat conduction wave from a cylindrical energy source, which acts in a planar layer of a material surrounded by a medium with different mass density and degree of ionisation. A theoretical justification is given of several interesting phenomena of 2-D thermal wave propagation through an inhomogeneous medium. These phenomena are related to the difference between the thermal wave velocities in the media with different thermal diffusivities. When the mass density in a layer experiencing the action of an energy source exceeds the density of the surrounding medium, the thermal wave front is shown to glide along the layer boundaries with a spatial velocity exceeding the velocity of the wave inside the layer. Moreover, there is a possibility of 'themal flow' of a layer across the boundaries between the layer and the surrounding medium in front of a thermal wave propagating inside the layer. The problems of heat transfer in multilayer targets for laser thermonuclear fusion are considered as an application.
Received: 02.04.1999
Citation:
S. Yu. Gus'kov, I. Ya. Doskach, “Two-dimensional nonlinear heat conduction wave in a layer-inhomogeneous medium and the characteristics of heat transfer in laser thermonuclear fusion targets”, Kvantovaya Elektronika, 29:1 (1999), 27–34 [Quantum Electron., 29:10 (1999), 865–872]
Linking options:
https://www.mathnet.ru/eng/qe1593 https://www.mathnet.ru/eng/qe/v29/i1/p27
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