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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 3, Pages 70–76 (Mi isu178)

Mechanics

Homentropic model of spherical shock wave reflection from the center of convergence

I. A. Chernov

Saratov State University, Chair of Mechanics Computational Experiment

Abstract: An implosive shock wave on a based gas the particular case of motion with zero pressure, but with variable density is discussed. The density is described by degree relation to distance up to a point of focusing of a shock wave. Such selection of an exponent in this relation that the entropy in all area of flow after passage of a shock wave was a constant (homentropic case) is offered. Thus qualitatively different behaviour of temperature in comparison with classical case Guderley–Landau–Stanjukovich is obtained.

Key words: one-dimensional flows, self-similar flows, converging shock wave, homentropic model.

UDC: 532.5+533.6.011.5

DOI: 10.18500/1816-9791-2010-10-3-70-76



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