Ag. Knyazeva et Ea. Dyukarev, STATIONARY WAVE OF A CHEMICAL-REACTION IN A DEFORMABLE MEDIUM WITH FINITE RELAXATION-TIME OF THE HEAT-FLUX, Combustion, explosion, and shock waves, 31(3), 1995, pp. 304-312
We propose a model for the propagation of the the stationary front of
a chemical reaction in a deformable medium taking into account thermal
relaxation. In the model we consider possible deformations of the mat
erial due to thermal expansion and the difference between the properti
es of the reagent and the product and their effect on the temperature
field. We show that relaxation of the heat flux and ''coupling'' of th
e temperature and strain fields are manifested through a change in the
hear capacity, the effective thermal conductivity of the material, an
d the overall heat of the chemical reaction. In the model of a zero-or
der reaction, there are two velocities of the front:: one of them is c
lose to the velocity of the ''thermal'' self-excited wave, the other i
s higher than the velocity of sound and is connected with the effect o
f the deformation forces. Additional solutions appear in the model in
the case of a first-order reaction when relaxation effects are present
.