Titlebook: Lectures on the Theory of Exothermic Flows behind Shock Waves; Course held at the D Gorimir G. Cherny Book 1973 Springer-Verlag Wien 1973 d

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Introduction,Since the time of early experiments by Veille, Berthelot, Mallard and Le Chatelier it is known that the combustion of gas mixtures filling long tubes may proceed in two different regimes.

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Nonuniqueness of Solutions with Infinitely Thin Heat Release Fronts,The statement made at the end of the previous section requires the assumption that beginning from some moment of the initial stage of motion (particularly from the first moment of motion) and permanently later the combustion proceeds in a detonation wave.

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Some Results of Computations,Let us consider some interesting results of computations giving the idea about the main properties of the supersonic flow of combustible gas mixture around bodies of different shape.

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Point Explosion in Combustible Gas Mixture [39],Let us assume that in an unbounded quiescent gas, in which exothermic chemical reactions are possible, an energy amount E. is released instantaneously along a plane, a straight line or at a point. Then a strong shock wave will start to move through the gas switching on chemical reactions with heat output.

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Asymptotic Behaviour of Decaying Detonation Waves,of concentrated energy release in combustible gas mixture. With the time the detonation wave will get weaker under the influence of rarefaction waves overtaking it from behind and can approach the limiting Ch.-J. regime. Let us investigate the laws of its approach to this limit [3,4].