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Modelling multiphase transport in deformable cellulose based materials exhibiting internal mass exchange and swelling

Alexandersson, M. LU and Ristinmaa, M. LU (2018) In International Journal of Engineering Science 128. p.101-126
Abstract

A thermodynamically consistent model for porous cellulose networks is proposed. A general theory is developed based on mixture theory using chemical potentials as flow potentials. The material is decomposed into three phases, solid, liquid and gas, where the solid and gas phases are further separated into dry fiber and fiber water, water vapor and dry air, respectively. Between the phases interfaces are present and their influence on the mass exchange of water is incorporated. Emphasis is placed on the dynamics in mass exchange of water which allows for description of non-equilibrium states. The driving force for reaching equilibrium is given by the chemical potential difference. Constitutive relations relevant for paperboard are... (More)

A thermodynamically consistent model for porous cellulose networks is proposed. A general theory is developed based on mixture theory using chemical potentials as flow potentials. The material is decomposed into three phases, solid, liquid and gas, where the solid and gas phases are further separated into dry fiber and fiber water, water vapor and dry air, respectively. Between the phases interfaces are present and their influence on the mass exchange of water is incorporated. Emphasis is placed on the dynamics in mass exchange of water which allows for description of non-equilibrium states. The driving force for reaching equilibrium is given by the chemical potential difference. Constitutive relations relevant for paperboard are proposed and illustrative simulations are carried out to reveal the dynamics of mass exchange. The model enables analysis of transient flow accounting for effects of deformation, swelling and moisture sorption dynamics.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Engineering Science
volume
128
pages
26 pages
publisher
Elsevier
external identifiers
  • scopus:85056225255
ISSN
0020-7225
DOI
10.1016/j.ijengsci.2018.03.013
language
English
LU publication?
yes
id
2d4d22cb-5679-4e63-9e3e-478505a68c71
date added to LUP
2018-11-22 15:17:13
date last changed
2019-08-14 04:28:01
@article{2d4d22cb-5679-4e63-9e3e-478505a68c71,
  abstract     = {<p>A thermodynamically consistent model for porous cellulose networks is proposed. A general theory is developed based on mixture theory using chemical potentials as flow potentials. The material is decomposed into three phases, solid, liquid and gas, where the solid and gas phases are further separated into dry fiber and fiber water, water vapor and dry air, respectively. Between the phases interfaces are present and their influence on the mass exchange of water is incorporated. Emphasis is placed on the dynamics in mass exchange of water which allows for description of non-equilibrium states. The driving force for reaching equilibrium is given by the chemical potential difference. Constitutive relations relevant for paperboard are proposed and illustrative simulations are carried out to reveal the dynamics of mass exchange. The model enables analysis of transient flow accounting for effects of deformation, swelling and moisture sorption dynamics.</p>},
  author       = {Alexandersson, M. and Ristinmaa, M.},
  issn         = {0020-7225},
  language     = {eng},
  pages        = {101--126},
  publisher    = {Elsevier},
  series       = {International Journal of Engineering Science},
  title        = {Modelling multiphase transport in deformable cellulose based materials exhibiting internal mass exchange and swelling},
  url          = {http://dx.doi.org/10.1016/j.ijengsci.2018.03.013},
  volume       = {128},
  year         = {2018},
}