000014024 001__ 14024
000014024 005__ 20161115094008.0
000014024 04107 $$aeng
000014024 046__ $$k2016-08-21
000014024 100__ $$aShestakovskaya, Elena
000014024 24500 $$aAnalytical solution of a shock wave in gas sphere in lagrangian coordinates

000014024 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014024 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014024 506__ $$arestricted
000014024 520__ $$2eng$$aAn exact solution of the problem of a convergent shock wave and dynamic compression of the gas in a spherical vessel with an impermeable wall has been constructed in Lagrangian coordinates. At the initial time a negative velocity is set at the gas border; when t > t0 the shock wave spreads in the gas. The boundary of the ball will move under the certain law, which is agreed with the motion of the shock wave. The trajectories of the gas particles in Lagrangian coordinates are straight lines. The equations determining the structure of the gas flow between the shock front and gas border have been found as a function of time and the Lagrangian coordinate; the dependence of the entropy on the speed of the shock wave has been found too. In Lagrangian coordinates the problem is solved for the first time, and it is fundamentally different from previously known formulations of the problem of the self-convergence of the shock wave to the center of symmetry and its reflection from the center, in which there is no boundary of the gas.

000014024 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014024 653__ $$a

000014024 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014024 720__ $$aShestakovskaya, Elena
000014024 8560_ $$ffischerc@itam.cas.cz
000014024 8564_ $$s59295$$uhttps://invenio.itam.cas.cz/record/14024/files/PO.FM16-1.06.189.pdf$$yOriginal version of the author's contribution as presented on CD, XMLout( page 1640, code PO.FM16-1.06.189).
000014024 962__ $$r13812
000014024 980__ $$aPAPER