Invariant solutions of the heat-conduction equation describing the directed propagation of combustion and spiral waves in a nonlinear medium
Abstract
The directed propagation of heat and combustion in an anisotropic medium is analyzed numerically. It is shown that at the asymptotic stage this process is described by an invariant (self-similar) solution obtained by Dorodnitsyn et al. (1983). In the isotropic case, an invariant solution is indicated which can describe circular and spiral combustion waves. The invariant solutions are obtained on the basis of the group properties of the heat-conduction equation.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- 1988
- Bibcode:
- 1988DoSSR.299..346B
- Keywords:
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- Combustion Physics;
- Flame Propagation;
- Thermal Conductivity;
- Anisotropic Media;
- Asymptotic Properties;
- Nonlinear Systems;
- Wave Propagation;
- Fluid Mechanics and Heat Transfer