Modelling structural deformations in a roasting coffee bean

Macroscale deformations in a roasting coffee bean are important mechanisms in determining flavour development, moisture loss, and consistency of the bean. In this paper, we model the stresses and strains in the cellulose structure of a roasting coffee bean via temperature-dependent poroviscoelastic...

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Main Authors: Fadai, N, Please, C, Van Gorder, R
Format: Journal article
Published: Elsevier 2018
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author Fadai, N
Please, C
Van Gorder, R
author_facet Fadai, N
Please, C
Van Gorder, R
author_sort Fadai, N
collection OXFORD
description Macroscale deformations in a roasting coffee bean are important mechanisms in determining flavour development, moisture loss, and consistency of the bean. In this paper, we model the stresses and strains in the cellulose structure of a roasting coffee bean via temperature-dependent poroviscoelastic constitutive equations. This model accounts for the deformations that are created and controlled by the moisture content, temperature, and gas pressure inside of the roasting coffee bean. The model combines previously derived multiphase heat and mass transfer models for roasting coffee beans with these poroviscoelastic equations, to determine when and where macroscale deformations of the cellular matrix are likely to occur. By exploiting reasonable asymptotic reductions of the poroviscoelastic equations, we find that a large surge of stress is produced in the interior of a coffee bean. We determine that this build-up of stress is due to the viscoelastic interior of the bean being contained by a rigid elastic exterior and unable to expand. Our theoretical results suggest directions for possible improvement in standard industrial coffee roasting techniques, which may allow the macroscale deformations of the cellular matrix to be controlled and thereby improve properties such as flavour, moisture loss, and consistency of the final product.
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spelling oxford-uuid:25eb9401-15cd-4b94-a807-0d7dc60f92262022-03-26T11:58:10ZModelling structural deformations in a roasting coffee beanJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:25eb9401-15cd-4b94-a807-0d7dc60f9226Symplectic Elements at OxfordElsevier2018Fadai, NPlease, CVan Gorder, RMacroscale deformations in a roasting coffee bean are important mechanisms in determining flavour development, moisture loss, and consistency of the bean. In this paper, we model the stresses and strains in the cellulose structure of a roasting coffee bean via temperature-dependent poroviscoelastic constitutive equations. This model accounts for the deformations that are created and controlled by the moisture content, temperature, and gas pressure inside of the roasting coffee bean. The model combines previously derived multiphase heat and mass transfer models for roasting coffee beans with these poroviscoelastic equations, to determine when and where macroscale deformations of the cellular matrix are likely to occur. By exploiting reasonable asymptotic reductions of the poroviscoelastic equations, we find that a large surge of stress is produced in the interior of a coffee bean. We determine that this build-up of stress is due to the viscoelastic interior of the bean being contained by a rigid elastic exterior and unable to expand. Our theoretical results suggest directions for possible improvement in standard industrial coffee roasting techniques, which may allow the macroscale deformations of the cellular matrix to be controlled and thereby improve properties such as flavour, moisture loss, and consistency of the final product.
spellingShingle Fadai, N
Please, C
Van Gorder, R
Modelling structural deformations in a roasting coffee bean
title Modelling structural deformations in a roasting coffee bean
title_full Modelling structural deformations in a roasting coffee bean
title_fullStr Modelling structural deformations in a roasting coffee bean
title_full_unstemmed Modelling structural deformations in a roasting coffee bean
title_short Modelling structural deformations in a roasting coffee bean
title_sort modelling structural deformations in a roasting coffee bean
work_keys_str_mv AT fadain modellingstructuraldeformationsinaroastingcoffeebean
AT pleasec modellingstructuraldeformationsinaroastingcoffeebean
AT vangorderr modellingstructuraldeformationsinaroastingcoffeebean