dc.contributor.author
Mitchell, S.L.
dc.contributor.author
Myers, T.G.
dc.date.accessioned
2023-08-29T11:11:46Z
dc.date.accessioned
2024-09-19T14:35:33Z
dc.date.available
2023-08-29T11:11:46Z
dc.date.available
2024-09-19T14:35:33Z
dc.date.issued
2023-06-23
dc.identifier.uri
http://hdl.handle.net/2072/536865
dc.description.abstract
In this paper, we investigate the thermal evolution in a one-dimensional bagasse stockpile. The mathematical model involves four unknowns: the temperature, oxygen content, liquid water content and water vapour content. We first nondimensionalize the model to identify dominant terms and so simplify the system. We then calculate solutions for the approximate and full system. It is shown that under certain conditions spontaneous combustion will occur. Most importantly, we show that spontaneous combustion can be avoided by sequential building. To be specific, in a situation where, say, a <![CDATA[ $4.7\,$ ]]> m stockpile can spontaneously combust, we could construct a <![CDATA[ $3\,$ ]]> m pile and then some days later add another <![CDATA[ $1.7\,$ ]]> m to produce a stable <![CDATA[ $4.7\,$ ]]> m pile. © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
eng
dc.description.sponsorship
T. Myers is funded by MCIN/AEI/10.13039/50110 0 011033/ and by “ERDF A way of making Europe,” grant number PID2020-115023RB-I00. He acknowledges the CERCA Programme of the Generalitat de Catalunya and the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M). The work described in this paper stems from problems presented by the Sugar Mill Research Institute at the 2016 and 2017 South African Mathematics in Industry Study Group. The authors acknowledge the contributions and gentle complaining of Graeme Hocking during the coffee breaks. This has encouraged us to never take up golf.
dc.format.extent
14 p.
cat
dc.publisher
Cambridge University Press
cat
dc.relation.ispartof
ANZIAM Journal
cat
dc.rights
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). https://rightsstatements.org/page/InC/1.0/?language=en
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Bagasse; safe storage; spontaneous combustion
cat
dc.title
On the safe storage of bagasse
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1017/S1446181123000044
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
