Abstract
A powder model is examined in which the surface temperature of the powder Ts is a function of the pressure and the initial temperature T0. All the processes taking place in the reactive layer of the condensed phase and in the gas phase are assumed to be inertialess. It is shown that the equation of heat conduction with a convection term, the boundary conditions for which relate the burning rate, the surface temperature, and the temperature gradient at the burning rate can be treated in the same terms as oscillations described by ordinary differential equations. It is meaningful to introduce such concepts as natural frequency, damping constant, and resonance.
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References
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The author is indebted to O. I. Leipunskii for constructive discussion and many useful comments.
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Novozhilov, B.V. Burning of a powder under harmonically varying pressure. J Appl Mech Tech Phys 6, 103–106 (1965). https://doi.org/10.1007/BF00919330
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DOI: https://doi.org/10.1007/BF00919330