Influence of Quasiperiodic Gravitational Modulation on Convective Instability of Liquid-Liquid Polymerization Front

Abstract

The influence of quasiperiodic gravitational modulation on convective instability of polymerization front with liquid monomer and liquid polymer is studied. The model includes the heat equation, the concentration equation, and the Navier-Stokes equations under the Boussinesq approximation. The linear stability analysis of the problem is carried out and the interface problem is derived. Using numerical simulations, the convective instability threshold is determined and the boundary of the convective instability is obtained for different amplitudes and frequencies ratio.

Liquid-Liquid Polymerization Front under Quasiperiodic Gravitational Modulation

“…From this figure we can conclude that by increasing the frequency ratio, the stability domain becomes large in certain interval of λ 2 . By comparing this figure with the results found in [8] where the Prandtl number, we can observe that by increasing the Prandtl number (P = 10), the frequency ratio has a destabilizing effect for small values of the amplitude λ 2 (0 ≤ λ 2 ≤ 10).…”

“…Recently, the case of liquid-liquid polymerization front was studied in [8]. This case is different from the previous one [7] where the equation of motion is considered only after the reaction zone since the polymer is in the solid phase.…”