Abstract
The solution of the cylindrical detonation wave generated by the linear explosion was obtained by numerical method in ref. [1].
In this paper, when the ratio of specific heat γ>>1 by using the enlargement coordinate method, the first-order analytical solutions are obtained. The perturbation parameter is ε=1/γ2. The correction of these solutions is checked at the end of this paper.
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References
Banichuk, N. V.,Prikl. Mekh. Tekh. Fiz., 5 (1969), 123–124. (in Russian)
Chien Wei-zang,Theory of Singular Perturbations and Its Application in Mechanics Scientific Publishing House (1981), 89. (in Chinese)
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Communicated by Chien Wei-zang
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Yi-wu, Y. An approximate analytical solution of the cylindrical detonation wave generated by the linear explosion. Appl Math Mech 14, 437–441 (1993). https://doi.org/10.1007/BF02453764
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DOI: https://doi.org/10.1007/BF02453764