Abstract
The fundamental equations of the hydrodynamic theory of one-dimensional shock waves — that is, the equations of conservation of mass, of momentum, and of energy — are developed. These are used to calculate the velocity, massvelocity, temperature, and pressure rise in shock waves in air and in water. With one additional equation, they suffice to permit a calculation of detonation velocities in gaseous and in solid explosives. Predictions of detonation velocity as a function of loading density are thereby achieved, accurate to a few percent. Pressures, temperatures, and mass-velocities inside the explosive are also computed. The question of rarefaction waves following the detonation front in the explosive is investigated. The initial velocity, pressure, and so forth, of the shock wave produced at the end of a stick of explosive are calculated successfully. The dying away of shock waves, problems of reflection, and so forth, are also discussed briefly.
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Notes
(See a paper by H. A. Bethe and E. Teller, published by the Ballistic Laboratory of the Aberdeen Proving Ground in 1940, which gives the energy content of air up to 5000°, and new calculations by H. A. Bethe and J. F. Whitney in which the temperature range is extended to 25,0000).
R. E. Gibson, and D. H. Loeffler, Journ. Am. Chem. Soc., 63,898, 1941.
R. E. Gibson, and D. H. Loeffler, Journ. Am. Chem. Soc., 61, 2515, 1939.
Dorsey, Properties of Ordinary Water Substance, Reinhold, 1940 (p. 231).
From Kuenen, Zustandsgleichung, 1907, p. 94 (According to a table calculated by J. P. Dalton)
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© 1998 Springer-Verlag New York, Inc.
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Bethe, H.A. (1998). On the Theory of Shock Waves for an Arbitrary Equation of State. In: Johnson, J.N., Chéret, R. (eds) Classic Papers in Shock Compression Science. High-Pressure Shock Compression of Condensed Matter. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2218-7_11
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DOI: https://doi.org/10.1007/978-1-4612-2218-7_11
Publisher Name: Springer, New York, NY
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