Yuan Yi-wu. An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion[J]. Applied Mathematics and Mechanics, 1993, 14(5): 415-418.
Citation: Yuan Yi-wu. An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion[J]. Applied Mathematics and Mechanics, 1993, 14(5): 415-418.

An Approximate Analytical Solution of the Cylindrical Detonation Wave Generated by the Linear Explosion

  • Received Date: 1989-10-18
  • Publish Date: 1993-05-15
  • 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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  • [1]
    Баничук Н.В.,ПМТФ, 5(1969),123-124.
    [2]
    钱伟长主编,《奇异摄动理论及其在力学中的应用》,科学出版社(1981).
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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