Theory of chemical displacement reactors

Butakov, A. A.; Maksimov, É. I.; Шкадинский, К. Г.

doi:10.1007/bf00789168

Cited by 6 publications

(1 citation statement)

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“…Frontal polymerization processes are similar to those in plug flow chemical reactors [10] and in the propagation of combustion waves [40], at least formally. Though the processes differ in the details of their chemical kinetics, each may be given a macrokinetic description, which is a simple 'effective' kinetic description in which reactants are converted to products in a front.…”

Section: Introductionmentioning

confidence: 83%

Propagation of frontal polymerization—crystallization waves

Volpert

1994

Eur. J. Appl. Math

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We consider polymerization–crystallization waves in a cylindrical reactor, in which monomer is converted to polymer in a planar front. The polymer is subsequently crystallized in a wider zone behind the front. Specifically, we study uniformly propagating polymerization–crystallization waves, and determine profiles of temperature, and concentrations of polymer and crystallized polymer, as well as the propagation velocity. A linear stability analysis of the travelling wave solutions indicates the possibility of Hopf bifurcation, which describes the transition to the experimentally observed spinning mode of propagation, in which a hot spot is observed to propagate along a helical path on the surface of the cylinder. Since conditions at the time of conversion determine the nature of the polymer produced, spiral hollows, which trace out a helical path, appear on the surface of the crystallized polymer product.

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Section: Introductionmentioning

confidence: 83%