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Modelling the Combustion of Explosives

Said, S; Curtis, J; Smith, F; (2019) Modelling the Combustion of Explosives. In: Proceedings of EUROPYRO 2019. Association Française des Poudres, Propulsion et Pyrotechnie (Af3P): Tours, France. Green open access

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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 is aimed towards filling that gap using mathematical modelling: this aims to track the temperature profile in the explosive and the gas’s response. This work begins by modelling single step reactions using the simple Arrhenius model. An alternative asymptotic approach is also employed. There is close agreement between the results for the full reaction-diffusion problem and the asymptotic problem. The model is then extended to include three step reaction kinetics, where we again apply asymptotic analysis in addition to direct computation. Further work outlined briefly at the end includes the motion of gas being incorporated in the existing model with temperature and pressure distributions considered.

Type: Proceedings paper
Title: Modelling the Combustion of Explosives
Event: EUROPYRO 2019
Location: Tours, France
Dates: 03 June 2019 - 07 June 2019
Open access status: An open access version is available from UCL Discovery
Publisher version: http://europyro2019.org/
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10085178
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