Localized compression regimes in a heat-conducting gas

V. V. Gudkov   ; A. P. Mikhailov   ; V. V. Stepanova

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 4, pp. 535-547

Résumé

The effect of limiting regimes with peaking on a compressible sphere with thermal conductivity $\varkappa=\varkappa_0\rho^\alpha T^\beta$, $\beta>0$, is examined. The investigation is carried out for selfsimilar solutions of the power type. Conditions are established for shockless supercompression of the material and joint localization of the thermal and gas-dynamic processes, which depend on the thermophysical properties of the medium and the limiting law. The phenomena are also investigated numerically.

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