Abstract
Massecuite is a liquid mixture that is boiled to produce raw sugar. When formed from poor-quality sugar cane, massecuite can be difficult to boil, leading to factory shutdowns lasting several weeks. This “hard-to-boil” (HTB) massecuite is rich in long-chained polysaccharides and thus exhibits a rheology that is dominated by elasticity. We examine how the rheology of massecuite affects the onset of boiling by proposing an extension of classical nucleation theory that accounts for the elastic energy of fluids containing a deformable solid network. The elasticity of a fluid is shown to suppress the onset of boiling through an increase in the boiling temperature, which is calculated to be a linear function of the shear modulus. Using experimental data, the model correctly predicts that regular and HTB massecuite should and should not boil under standard operating conditions. By coupling the boiling problem to a heat transfer model, the thermo-rheological properties of HTB massecuite are shown to greatly increase the time it takes to reach the boiling temperature. We propose further experiments that can be used to validate the theoretical results obtained here.
| Original language | English |
|---|---|
| Pages (from-to) | 188-198 |
| Number of pages | 11 |
| Journal | International Journal of Thermal Sciences |
| Volume | 137 |
| DOIs | |
| Publication status | Published - Mar 2019 |
Bibliographical note
Funding Information:I. M. acknowledges the travel support from a Science Foundation Ireland grant SFI/13/IA/1923 . M. H. has been partially funded by the CERCA Programme of the Generalitat de Catalunya and has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 707658 . The authors would like to thank Richard C. Loubser for bringing this problem to their attention and for reading an earlier version of this manuscript. Furthermore, the authors would like to extend their gratitude to Prof. David P. Mason for organising the Mathematics in Industry Study Group (MISG) at the African Institute for Mathematical Sciences, where work on this problem began.
Funding Information:
I. M. acknowledges the travel support from a Science Foundation Ireland grant SFI/13/IA/1923. M. H. has been partially funded by the CERCA Programme of the Generalitat de Catalunya and has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 707658. The authors would like to thank Richard C. Loubser for bringing this problem to their attention and for reading an earlier version of this manuscript. Furthermore, the authors would like to extend their gratitude to Prof. David P. Mason for organising the Mathematics in Industry Study Group (MISG) at the African Institute for Mathematical Sciences, where work on this problem began.
Publisher Copyright:
© 2018 Elsevier Masson SAS
Keywords
- Boiling
- Elasticity
- Heat transfer
- Massecuite
- Mathematical modelling
- Nucleation theory