Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Kozhanov V. S. Calculation of Outgoing Shock Waves in The Empty Cavity Collapse Problem. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 1, pp. 44-54. DOI: 10.18500/1816-9791-2010-10-1-44-54

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
18.01.2010
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Russian
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UDC: 
532.5: 533.6.011.5

Calculation of Outgoing Shock Waves in The Empty Cavity Collapse Problem

Autors: 
Kozhanov V. S., Saratov State University
Abstract: 

The self-similar problem about a collapse of an empty cylindrical or spherical cavity in compressible fluid with adiabatic exponent γ is considered. Two possible variants of the flow after collapse are discussed. The variants are connected with the entropy behavior through the outgoing shock. The calculations show that the main difference in the flow quantities behavior at reflection stage have a quantitative character. Outgoing shock compression ratio, characterized by relation ρ2/ρ1, decreases for both variants of the reflection when γ is increase.

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