Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Russian participants

Description of some flows of heat-conducting non-viscous gas

Bautin S.P., Berdnikov A.E., Chernyshov Yu.Yu.

Ural State university of railway (Ekaterinburg)

It is proved that in heat-conducting non-viscous gas flows there are characteristic surfaces of three types: 1) two sound characteristics, which distribution velocity is c/sqrt{?}, where c is a sound velocity in a non-heat-conducting gas, ? is an isentropic exponent; 2) contact characteristic; 3) thermal compression wave, spreading in a given cold gas flow. It is shown that in heat-conducting non-viscous gas flows it may appear gradient disaster effect. There are proved theorems of existence and uniqueness in class of analytic functions of problems solutions about piston and about obtaining prescribed distributions. By means of special infinitely convergent series it is described one heat-conducting non-viscous gas flow, analogous to centred Riemenn wave and transmitting strong compression of one-dimensional gas layers, taking into account balanced emission and Compton mechanism of photons dispersion. There is the algorithm of a calculation for flows, using a presence of sound characteristics.

Full Text in Russian: PDF (501 kb)
Note. Abstracts are published in author's edition



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