Abstract
The asymptotic of the motion originating because of shock incidence on a wedge cavity in a metal is investigated as the wave amplitude tends to zero. It has been shown in [1] that the flow is hence divided into two domains. The principal term governing the flow in the first domain agrees with the acoustic approximation. The flow in the second domain is described by incompressible fluid equations in the principal term. Determination of the flow in the second domain is reduced herein to the solution of a singular nonlinear integral equation. A numerical solution is found for a series of values of the cavity aperture.
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S. K. Godunov, Ya. M. Kazhdan, and V. A. Simonov, “On shock incidence on a wedge cavity,” Prikl. Mekh. i Tekh. Fiz., No. 6, 59–71 (1969).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 129–138, May–June, 1972.
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Kazhdan, Y.M. Asymptotic of the flow upon shock incidence on a wedge cavity. J Appl Mech Tech Phys 13, 372–380 (1972). https://doi.org/10.1007/BF00850430
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DOI: https://doi.org/10.1007/BF00850430