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Modelling, computation and analysis on combustion of explosives

Part of: Generalities, axiomatics, foundations of continuum mechanics of solids Thermodynamics and heat transfer Parabolic equations and systems

Published online by Cambridge University Press:  05 February 2021

S. SAID Open the ORCID record for S. SAID [Opens in a new window] ,
F. T. SMITH  and
J. P. CURTIS
S. SAID
Affiliation:
Department of Mathematics, University College London, London, WC1H 0AY, UK, emails: s.said.17@ucl.ac.uk, f.smith@ucl.ac.uk
F. T. SMITH
Affiliation:
Department of Mathematics, University College London, London, WC1H 0AY, UK, emails: s.said.17@ucl.ac.uk, f.smith@ucl.ac.uk
J. P. CURTIS
Affiliation:
Department of Mathematics, University College London, London, WC1H 0AY, UK, emails: s.said.17@ucl.ac.uk, f.smith@ucl.ac.uk AWE Aldermaston, Reading, RG7 4PR, UK, email: John.P.Curtis@awe.co.uk
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Abstract

When an explosive burns, gaseous products are formed as a result. The interaction of the burning solid and gas is not well understood. More specifically, the process of the gaseous product heating the explosive is yet to be explored in detail. The present work sets out to fill some of that gap using mathematical modelling: this aims to track the temperature profile in the explosive. The work begins by modelling single-step reactions using a simple Arrhenius model. The model is then extended to include three-step reaction. An alternative asymptotic approach is also employed. There is close agreement between results from the full reaction-diffusion problem and the asymptotic problem.

Keywords

Reaction diffusioncombustionthermodynamics

MSC classification

Primary: 35K57: Reaction-diffusion equations 80A25: Combustion
Secondary: 74A15: Thermodynamics
Type
Papers
Information
European Journal of Applied Mathematics , Volume 33 , Issue 1 , February 2022 , pp. 27 - 57
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Copyright
UK Ministry of Defence © Crown Owned Copyright, 2021. Published by Cambridge University Press

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