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

Abstract

Abstract. The quasi-periodic gravitational modulation of polymerization front with solid product is studied in this paper. The model we consider includes the heat equation, the equation for the concentration and the NavierStokes equations under the Boussinesq approximation. Linear stability analysis of the problem is fulfilled and the convective instability boundary is determined using numerical simulation. Results shown that the convective instability threshold depends strongly on the amplitudes and on the frequencies ratio.