On the safe storage of bagasse

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 t...

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Detalles Bibliográficos
Autores: Mitchell, S.L., Myers, T.G.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/536865
Acceso en línea:http://hdl.handle.net/2072/536865
Access Level:acceso abierto
Palabra clave:Bagasse
safe storage
spontaneous combustion
Descripción
Sumario: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.