The enhancement of weakly exothermic polymerization fronts

Comissiong, Donna M. G.; Gross, L. K.; Volpert, Vladimir A.

doi:10.1007/s10665-006-9062-1

Cited by 4 publications

(2 citation statements)

References 9 publications

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“…Most of the theoretical works on FP are based on one-dimensional (1D) reaction–diffusion (RD) models, both under adiabatic ,− and nonadiabatic conditions, − to describe the front dynamics with a large focus on thermal instabilities arising from the loss of stability of a steady state. However, 1D models cannot fully explain recent experimental results.…”

Section: Introductionmentioning

confidence: 99%

Critical Role of Layer Thickness in Frontal Polymerization

Rongy

2022

J. Phys. Chem. B

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Thermal frontal polymerization (FP) is a chemical process during which a cold monomer−initiator mixture is converted into a hot polymer as a polymerization front propagates in the system due to the interplay between heat diffusion and the exothermicity of the reaction. The theoretical description of FP generally focuses on one-dimensional (1D) reaction−diffusion (RD) models where the effect of heat losses is encoded into an effective parameter in the heat equation. We show here the limits of such 1D models to describe FP under nonadiabatic conditions. To do so, the propagation of a polymerization front is analyzed both analytically and numerically in a rectangular two-dimensional (2D) layer. The layer thickness is shown to control the dynamics of the front and to determine its very existence. We find that for given heat losses, a minimum thickness is required for front propagation as recently observed in FP experiments of 2D thin films on wood. Moreover, when the thickness exceeds a critical value, the front is observed to survive independently of the rate of heat losses. This result cannot be predicted with 1D models where front extinction is always possible. A scaling analysis is proposed to highlight the physical interpretation of such a front survival. The influence of dimensionality on thermal instabilities is also analyzed, with a focus on the differences with the 1D predictions.

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Section: Introductionmentioning

confidence: 99%

Critical Role of Layer Thickness in Frontal Polymerization

Rongy

2022

J. Phys. Chem. B

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“…Professor Volpert published several papers with Professor Matkowsky on the theory of gasless and various aspects of filtration combustion in porous structures with and without deformation. He also contributed to better understanding of combustion in microgravity environments and mathematical modeling of frontal polymerization and understanding of wave propagation during free-radical polymerization with the gel effect [53][54][55][56][57][58][59][60][61][62][63].…”

Section: Combustion Synthesis Research In Usa After 1980mentioning

confidence: 99%