Influence of Vibrations on Convective Instability of Reaction Fronts in Porous Media

Abstract

Abstract. The aim of this paper is to study the effect of vibrations on convective instability of reaction fronts in porous media. The model contains reaction-diffusion equations coupled with the Darcy equation. Linear stability analysis is carried out and the convective instability boundary is found. The results are compared with direct numerical simulations.

Investigation of chemoconvection in vibration fields

“…The slowdown of chemoconvection in a similar setting but at high-frequency vibrations was found in experiments. 16 In a theoretical work 17 the action of vibrations on a two-layer reactive system filling some porous medium is considered. It is demonstrated that, depending on their frequency and amplitude, the vertical vibrations lead to either an increase in the reaction front stability, or its decrease.…”

Direct Numerical Simulations of Reaction Fronts Propagation under Quasi-Periodic Gravitational Modulation

“…In porous media, same study is carried out in [9], both of the reactant and the product are considered liquid. The influence of vibration on convective instability of reaction front propagation in porous media is investigated in [10], the convective instability boundary is found depending on the amplitude and the frequency of vibration.…”