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An approximate analytical solution of the cylindrical detonation wave generated by the linear explosion

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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

  1. Banichuk, N. V.,Prikl. Mekh. Tekh. Fiz., 5 (1969), 123–124. (in Russian)

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  2. 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

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