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Pattern formation in reverse smouldering combustion: A homogenisation approach
Meiji University,Tokyo, Japan.
Eindhoven University of Technology. (Mathematics)ORCID iD: 0000-0002-1160-0007
Meiji University, Tokyo, Japan.
2013 (English)In: Combustion theory and modelling, ISSN 1364-7830, E-ISSN 1741-3559, Vol. 17, no 2, p. 185-223Article in journal (Refereed) Published
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Abstract [en]

The development of fingering char patterns on the surface of porous thin materials has been investigated in the framework of reverse combustion. This macroscopic characteristic feature of combustible media has also been studied experimentally and through the use of phenomenological models. However, not much attention has been given to the behaviour of the emerging patterns based on characteristic material properties. Starting from a microscopic description of the combustion process, macroscopic models of reverse combustion that are derived by the application of the homogenisation technique are presented. Using proper scaling by means of a small scale parameter E, the results of the formal asymptotic procedure are justified by qualitative multiscale numerical simulations at the microscopic and macroscopic levels. We consider two equilibrium models that are based on effective conductivity contrasts, in a simple adiabatic situation, to investigate the formation of unstable fingering patterns on the surface of a charred material. The behaviour of the emerging patterns is analysed using primarily the Peclet and Lewis numbers as control parameters.

Place, publisher, year, edition, pages
Taylor & Francis, 2013. Vol. 17, no 2, p. 185-223
Keywords [en]
combustion, finfgers formation, homogenization, simulation
National Category
Engineering and Technology Mathematical Analysis Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39794DOI: 10.1080/13647830.2012.734860ISI: 000316446500001Scopus ID: 2-s2.0-84876061638OAI: oai:DiVA.org:kau-39794DiVA, id: diva2:901153
Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2017-11-30Bibliographically approved

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Muntean, Adrian

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