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Remarks on the Mathematical Theory of Detonation and Deflagration Waves in Gases (Classic Reprint): Supplement to the Manual on Supersonic Flow and Shock Waves
Excerpt from Remarks on the Mathematical Theory of Detonation and Deflagration Waves in Gases
In the present supplement to the Manual on Supersonic Flow and Shock Waves the gas dynamical phenomena of one dimensional flow involving detonation and combustion are analyzed from the mathematician's viewpoint. As in the Manual,content and emphasis in the present supplement are conditioned by the background from which.the writers happened to approach the subject; important points, such as the finite width.of the reaction zone, are touched upon only in an appendix and in the bibliography. Jouguet, in his classical work, was concerned mainly with the discussion of the discontinuous reaction front; but only the consideration of the flow as a whole can supply the information necessary to determine the dynamical phenomena involving detonation or combustion. G. I. Taylor has studied detonation processes under such aspects. In the recent research program of the Applied Mathematics Group of New York University a somewhat.more systematic analysis of the mathematical possibilities of flows involving reaction processes became desirable, and the present report gives an account of such.investigations.
In the present supplement to the Manual on Supersonic Flow and Shock Waves the gas dynamical phenomena of one dimensional flow involving detonation and combustion are analyzed from the mathematician's viewpoint. As in the Manual,content and emphasis in the present supplement are conditioned by the background from which.the writers happened to approach the subject; important points, such as the finite width.of the reaction zone, are touched upon only in an appendix and in the bibliography. Jouguet, in his classical work, was concerned mainly with the discussion of the discontinuous reaction front; but only the consideration of the flow as a whole can supply the information necessary to determine the dynamical phenomena involving detonation or combustion. G. I. Taylor has studied detonation processes under such aspects. In the recent research program of the Applied Mathematics Group of New York University a somewhat.more systematic analysis of the mathematical possibilities of flows involving reaction processes became desirable, and the present report gives an account of such.investigations.
59 pages, Paperback
Published August 24, 2018
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About the author
Richard Courant
138 books58 followersRichard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book What is Mathematics?, co-written with Herbert Robbins.
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