Liquid-Liquid Polymerization Front under Quasiperiodic Gravitational Modulation

Abstract

The influence of quasi-periodic gravitational modulation of polymerization front with liquid monomer and liquid polymer is studied in this paper. The model considered includes the heat equation, the equation for the concentration and the Navier-Stokes equations under the Boussinesq approximation. The linear stability analysis of the problem is conducted and by using numerical simulation, the convective instability boundary is carried out. Results obtained show that the convective instability threshold depends on the amplitudes and on the frequencies ratio of the quasi-periodic gravitational modulation. Effect of Prandtl number is also examined.