TEMPERATURE SHOCK WAVES IN A MOVING
MEDIUM WITH ALLOWANCE FOR THE RELAXATION
OF THE HEAT FLUX

P. P. Volosevich, E. I. Levanov,
and E. V. Severina

UDC 519

The solution of the gasdynamic equation with allowance 
for the heat transfer in the relaxation of the heat flux is analyzed. 
The relations expressing the laws of conservation on the front of 
strong discontinuity of the quantities sought, including the discontinuity 
of the temperature and the heat-flux density, are discussed. The possibility 
of existence of two shock waves with fixed initial data is shown using 
the self-similar solution of the problem on gas motion ahead of the 
piston. The occurrence of two strong discontinuities is due to the 
presence of different velocities of propagation of gasdynamic and 
thermal disturbances - the velocity of sound and the finite rate 
of heat transfer at a nonzero time of relaxation of the heat flux.

@ABSTRACT = Institute of Mechanics and Mathematics, Russian Academy 
of Sciences, 4a Miusskaya Sq., Moscow, 125047, Russia; email: levanov@imamod.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 4, pp. 
57-68, July-August, 2006. Original article submitted November 
11, 2005.