Article information

2003 , Volume 8, ¹ 4, p.32-44

Deryabin S.L.

One-dimension escape of self-gravitating ideal gas into vacuum

The one-dimension flows of an ideal polytropic gas are considered assuming that Newtonian gravitation acts on mass of gas. The problem of the collapse of one-dimensional cavity is investigated, and it is proved that the free gas - vacuum surface moves with constant velocity, which is the same as without taking gravitation into account. The problem on the gas dispersion is also investigated, and it is proved that the free gas - vacuum surface moves like the particles in the field of the material point attraction.

[full text] Classificator Msc2000:
*76N15 Gas dynamics, general

Keywords: initial-boundary value problem, system of integrodifferential partial-differential equations, Newtonian gravitation

Author(s):
Deryabin Sergey Lvovich
Dr. , Professor
Position: Professor
Office: Ural state university of railway transport
Address: 620034, Russia, Ekaterinburg, Kolmogorov st., 66
Phone Office: (343)2-21-24-04
E-mail: SDeryabin@usurt.ru


Bibliography link:
Deryabin S.L. One-dimension escape of self-gravitating ideal gas into vacuum // Computational technologies. 2003. V. 8. ¹ 4. P. 32-44
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