Frontal Reaction in a Layered Polymerizing Medium | Zendy

Dmitry Golovaty | Zendy; L. K. Gross | Zendy; James Thomas Joyner | Zendy

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Frontal Reaction in a Layered Polymerizing Medium

Author(s) -

Dmitry Golovaty,

L. K. Gross,

James Thomas Joyner

Publication year - 2010

Publication title -

siam journal on applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.954

H-Index - 99

eISSN - 1095-712X

pISSN - 0036-1399

DOI - 10.1137/100790768

Subject(s) - monomer , context (archaeology) , front (military) , polymerization , activation energy , kinetics , materials science , statistical physics , asymptotic analysis , thermodynamics , physics , mechanics , mathematics , mathematical analysis , chemistry , classical mechanics , polymer , composite material , geology , paleontology , meteorology

We analyze the dynamics of a reaction propagating along a two-dimensional medium of nonuniform composition. We consider the context of a self-sustaining reaction front that converts a monomer-initiator mixture into an inhomogeneous polymeric material. We model the system with one-step effective kinetics, assuming large activation energy. Using asymptotic methods, we find the analytical expressions for the front profile as well as monomer and temperature distributions. Further, we demonstrate that the predictions of the asymptotic theory match well with the numerical simulations.

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