THE THERMAL STABILITY OF A PARTIALLY INSULATED REACTIVE SLAB

DOI10.1093/qjmam/39.2.197zbMath0582.73118OpenAlexW1976117036MaRDI QIDQ3705071

D. M. Herbert

Publication date: 1986

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/39.2.197

zbMATH Keywords

matched asymptotic expansionsnonlinear partial differential equationthermal stabilitynarrow stripinsulatedlower surfaceArrhenius heat-generation termcritical vaue of the Frank-Kamenetskij stability parameterexothermically active materialFrank-Kamenetskij approximationreaction of zero orderself-heating two-dimensional slabupper surface maintained at a uniform temperature

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Ill-posed problems for PDEs (35R25) Asymptotic expansions of solutions to PDEs (35C20) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

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