Influence of quasi-periodic gravitational modulation on convective instability of reaction fronts in porous media

On the Quasi-periodic Gravitational Modulation of Polymerization Front with Solid Product

“…The influence of periodic gravitational modulation on the convective instability of reaction front was studied in [2], while the effect of QP gravitational modulation on convective instability of reaction fronts in porous media was examined in [3]. In contrast to the case of a periodic modulation which was extensively studied, only few works have been devoted to study the effect of a QP vibration on the convective instability.…”

“…Recently, the influence of QP gravitational vibration on convective instabilities of reaction fronts in porous media was investigated [3]. It was shown that the convection instability of reaction fronts in porous media can be controlled and the reaction fronts may remain stable in some regions and for certain combinations of the amplitudes and a e-mail: allali@hotmail.com b e-mail: assiyad.saadia@gmail.com c e-mail: belhaq@yahoo.fr the frequencies ratio of the QP vibration.…”

“…While in [3] attention was focused on the problem of reaction front propagation in porous media with liquid reactant and liquid product considering Darcy equation, the present paper reports on the problem of polymerization front with liquid reactant and solid product considering Navier-Stokes equations.…”

Liquid-Liquid Polymerization Front under Quasiperiodic Gravitational Modulation

“…Recent works were devoted to the influence of a QP gravitational modulation on the convective instability of reaction front. For instance, the influence of the QP gravitational modulation on reaction front was examined in the case of porous media described by the Darcy equation [6]. A work was dedicated to the case of liquid-solid polymerization front in [7] using the Navier-Stokes equations instead of the Darcy equation and it was revealed that the amplitudes and the frequencies ratio influence the stability region of the reaction.…”

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

“…The linear stability analysis of the influence of quasi-periodic gravitational modulation on the convective instability in porous media taking in consideration zero inverse Lewis number, is studied in [14], the authors used two incommensurate frequencies and found the convective instability boundary depending on their ratio.…”