# The mathematical modelling of large-scale bagasse stockpiles

Farrell, Troy W., Knight, John H., Moroney, Timothy J., Hobson, Philip A., Turner, Ian W., & Fulford, Glenn R.
(2012)
*
The mathematical modelling of large-scale bagasse stockpiles.
*
[Working Paper]
(Unpublished)

## Abstract

A comprehensive, one-dimensional mathematical model for the heat and mass transfer within large-scale bagasse stockpiles is presented. The model accounts for a multicomponent gas phase, liquid water and water vapour phases, along with a solid bagasse phase. A description of the numerical scheme used to implement the model is also given as is an extensive estimation of physical and chemical parameters within the model. The model is validated against experimental data obtained from a one dimensional bagasse slab and shows very good correspondence with these measurements. An analysis of the predicted transport dynamics in a large-scale stockpile shows that the bulk of the stockpile becomes anaerobic shortly after stockpile construction, which limits the ability of the core of the stockpile to significantly overheat. However, the model predicts the existence of a 1 to 2m shell at the outer surface of the stockpile in which oxygen penetration can be sufficient to cause overheating, which can lead to stockpile combustion. The model shows that the ground beneath the stockpile acts as a significant heat sink and the time at which the ground starts to have a cooling effect depends on the size (height) of the stockpile with larger (higher) stockpiles being hotter than smaller (lower) ones. Furthermore, the model predicts that more highly compacted stockpiles are cooler than those with lower compaction due to the fact that more compacted stockpiles have lower oxygen levels and a higher effective thermal conductivity. Finally, the model predicts that reducing the transfer of sensible heat at the top surface of the stockpile, whilst maintaining normal mass transfer at this surface, can lead to combustion and that reducing the transfer of oxygen at this surface can lead to stockpile cooling as long as the rate of energy transfer at the surface is sufficiently high.

Impact and interest:

**Citation counts** are sourced monthly from **Scopus** and **Web of Science®** citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the **Google Scholar™** indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

**505**since deposited on 27 Aug 2012

**168**in the past twelve months

**Full-text downloads** displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: | 53332 |
---|---|

Item Type: | Working Paper |

Refereed: | Yes |

Keywords: | fluid mechanics and transport phenomena, bagasse, self heating, stockpile, heat and mass transfer, unsaturated porous flow |

Subjects: | Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Applied Mathematics not elsewhere classified (010299) |

Divisions: | Current > Research Centres > Centre for Tropical Crops and Biocommodities Current > Schools > School of Mathematical Sciences Current > QUT Faculties and Divisions > Science & Engineering Faculty |

Copyright Owner: | Copyright 2012 The Authors |

Deposited On: | 27 Aug 2012 23:01 |

Last Modified: | 03 Mar 2015 03:50 |

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page