Abstract
We study theoretically and experimentally the motion of metal arising from a plane shock wave striking a V-shaped cavity. Using the functionally invariant solutions of Sobolev, we write out the acoustic approximation for this problem and determine the region of its applicability. It is shown that in the region in which the acoustic approximation is not applicable, the flow in the principal term is described by the incompressible fluid equations for which the boundary conditions are defined by the acoustic region. The experimental technique is described and a comparison of the theoretical and experimental data is made.
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Literature cited
S. L. Sobolev, “Theory of plane wave diffraction,” Tr. seismologicheskogo in-ta, no. 41, 1934.
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Translated from Zhurnal PrikladnoiMekhaniki i Tekhnicheskoi Fiziki, Vol. 10, No. 6, pp. 57–61, November–December, 1969.
The authors wish to thank A. A. Deribas for discussion on the problem formulation and experimental technique, and N. S. Kozin for carrying out the numerical calculations.
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Godunov, S.K., Kazhdan, Y.M. & Simonov, V.A. Shock wave incidence on a V-shaped cavity. J Appl Mech Tech Phys 10, 891–895 (1969). https://doi.org/10.1007/BF00907923
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DOI: https://doi.org/10.1007/BF00907923