Criticality in reactors under domain or external temperature perturbations

DOI10.1098/rspa.1991.0096zbMath0739.35003OpenAlexW2039941126MaRDI QIDQ3977663

Michael J. Ward, Eric F. Van de Velde

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1991.0096

zbMATH Keywords

thermal runawayArrhenius heat generationasymptotic expansions for the critical Frank-Kamenetskij parameterfinite activation energysmall distortion of the boundary of a circular cylindrical domainsmall hole in the domainsmall non-uniformitiessmall temperature variation maintained on the boundary

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20)

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