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.
Highlights
Frontal polymerization is the process of polymer production in propagating reaction fronts [1,2,3,4]
The influence of periodic vibrations on convective instability of reaction front was studied in the case of liquids [8] and it was concluded that, for small vibration amplitudes, the reaction front remains stable and it loses its stability for sufficiently large amplitude of vibrations
The influence of the QP gravitational modulation on reaction front was examined in the case of porous media described by the Darcy equation [9]
Summary
Frontal polymerization is the process of polymer production in propagating reaction fronts [1,2,3,4]. The influence of periodic gravitational modulation on the convective instability in the case of liquidsolid polymerization front was studied [7] and it was shown that the propagation of polymerization reaction front is strongly affected by the amplitude and the frequency of vibrations. The present work studies the effect of QP gravitational modulation on the convective instability of the polymerization front, but in the case of liquid-liquid frontal polymerization. This case is different from the previous one [10] in the sense that in [10] the equation of motion is considered only after the reaction zone since the polymer is in the solid phase.
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