Journal
JOURNAL OF FOOD ENGINEERING
Volume 334, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.jfoodeng.2022.111154
Keywords
Computational simulation; Mathematical modelling; Particle porosity; Loading zone; Mass transfer
Categories
Funding
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo-FAPESP [2009/50593-2]
- FAPESP [2014/21252-0, 2018/13207-6, 2021/09028-1]
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior-CAPES [001, PROEX 2952/2011]
- Conselho Nacional de Desenvolvimento Cientiifico e Tecnologico - CNPq [307398/2019-6, 406963/2016-9, 308924/2017-7, 426913/2018-3]
- Federal University of Mato Grosso (UFMT, Brazil)
- CAPES
Ask authors/readers for more resources
This article proposes a new mathematical model to describe the solute concentration distribution in solid-liquid extraction. The model considers the movement of the liquid phase and can calculate the transient and local solute concentrations in the loading zone. Experimental results demonstrate that the model is consistent with reality and can be used to simulate solid-liquid extraction operations.
Solid-liquid extraction (SLE), in which a solute is transferred from a fixed bed of solids with different porosities into a liquid phase, involves solid matrix diffusivity or intra-particle porosity (epsilon p) to reflect the mass transfer resistance within the solid phase and mass transfer coefficients to describe the resistance within the liquid phase. Models that consider intra-particle porosity do not adequately describe the overall mass transfer, especially when the porosity values are low. For such cases, it is common to employ models based on solid matrix diffusivity. However, such models do not describe the non-linear solute concentration profiles commonly encountered in the liquid loading zone of extractors. A new mathematical model based on a control volume that moves along with the liquid phase is proposed to describe the solute concentration within the particle and liquid phases. Such an approach also enables calculation of the transient and local solute concentrations in the loading zone. The model parameter sets were fitted to the experimental results from the porous systems (soybean layer). The global mean deviation (11.6%) between the model and experimental results demonstrates that the proposed model is consistent and can be used to simulate solid-liquid extraction operations for porous and low-porosity solids.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available