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ON THE SAFE STORAGE OF BAGASSE

Part of: Equations of mathematical physics and other areas of application

Published online by Cambridge University Press:  23 June 2023

S. L. MITCHELL Open the ORCID record for S. L. MITCHELL [Opens in a new window]  and
T. G. MYERS Open the ORCID record for T. G. MYERS [Opens in a new window]
S. L. MITCHELL
Affiliation:
MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland; e-mail: sarah.mitchell@ul.ie
T. G. MYERS*
Affiliation:
Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain
*
e-mail: tmyers@crm.cat
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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 $4.7\,$m stockpile can spontaneously combust, we could construct a $3\,$m pile and then some days later add another $1.7\,$m to produce a stable $4.7\,$m pile.

Keywords

spontaneous combustionbagassesafe storage

MSC classification

Primary: 35Q79: PDEs in connection with classical thermodynamics and heat transfer
Type
Research Article
Information
The ANZIAM Journal , Volume 65 , Issue 1-2 , January 2023 , pp. 79 - 92
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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