EVOLUTION OF WEAKLY NON-LINEAR PERTURBATIONS IN GAS SUSPENSION WITH CHEMICAL REACTION
The material was received by the Editorial Board: 17.02.2011
Dynamics of weak finite-amplitude perturbations in two-phase homogeneous medium (gas + solid particles) with nonequilibrium chemical reaction in gas is studied theoretically. Weakly non-linear model of plane perturbation evolution is substantiated by the instrumentality of asymptotic approach. The model takes into account wave-kinetic interaction and dissipation effects, including inter-phase heat and momentum transfer. Stability conditions for uniform state of the system are analyzed. Non-linear equation describing evolution of plane perturbations is derived under weak dispersion and dissipation effects. Solutions of evolution equation are obtained numerically in form of steady-state oscillations. Its parameters are determined by effect of nonlinearity and by relation between dissipative property of two-phase medium and given modeling characteristics of kinetics of reaction. Keywords:
non-linear perturbations, wave-kinetic interaction, evolution equation, numerical simulation.
УДК 534.222
EVOLUTION OF WEAKLY NON-LINEAR PERTURBATIONS IN GAS SUSPENSION WITH CHEMICAL REACTION References: Sharypov O. V., Anufriev I. S. EVOLUTION OF WEAKLY NON-LINEAR PERTURBATIONS IN GAS SUSPENSION WITH CHEMICAL REACTION . Vestnik NSU. Series: Physics. 2011, vol. 6, no. 3. P. 21–32 (in Russ.). DOI: 10.54362/1818-7919-2011-6-3-21-32