Advanced

A study of the permeability of pulp and paper

Nilsson, L and Stenström, Stig LU (1997) In International Journal of Multiphase Flow 23(1). p.131-153
Abstract
A sheet of paper is modelled as a two-dimensional network of cellulose fibres. The fibres are assumed to be either cylindrical or band-shaped. Both well-ordered fibrous structures and fibrous structures in which a random arrangement of fibres is assumed are studied. The equations for creeping flow through such structures are solved, and the calculated permeabilities are compared with measured values. Flow through such paper structures as pulp sheets and handsheets of unbeaten sulphate pulp is found to be adequately described by a structural model that assumes cellulose fibres to be band-shaped when a fibre aspect ratio of 3.5 (well-ordered structure) or 5 (random fibre distribution) is used. These values of the fibre aspect ratio compare... (More)
A sheet of paper is modelled as a two-dimensional network of cellulose fibres. The fibres are assumed to be either cylindrical or band-shaped. Both well-ordered fibrous structures and fibrous structures in which a random arrangement of fibres is assumed are studied. The equations for creeping flow through such structures are solved, and the calculated permeabilities are compared with measured values. Flow through such paper structures as pulp sheets and handsheets of unbeaten sulphate pulp is found to be adequately described by a structural model that assumes cellulose fibres to be band-shaped when a fibre aspect ratio of 3.5 (well-ordered structure) or 5 (random fibre distribution) is used. These values of the fibre aspect ratio compare favourably with the values used when gas diffusion through the same sheets is modelled. For newsprint sheets the measured permeability is found to be lower than that predicted by the models when physically realistic values for the aspect ratio are taken. It is also found that for all the pulp and paper grades investigated (a total of 19) the measured permeabilities and effective diffusivities correlate with each other. Copyright (C) 1996 Elsevier Science Ltd. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
cellulose fibre, computational fluid dynamics, effective diffusivity, Kozeny-Carman theory, permeability, specific surface area
in
International Journal of Multiphase Flow
volume
23
issue
1
pages
131 - 153
publisher
Elsevier
external identifiers
  • wos:A1997VX30900009
  • scopus:0031077732
ISSN
0301-9322
DOI
10.1016/S0301-9322(96)00064-X
language
English
LU publication?
yes
id
bfb9fe06-05e7-4410-9eba-010d75603bd8 (old id 3914034)
date added to LUP
2013-07-01 12:09:52
date last changed
2017-10-22 04:49:38
@article{bfb9fe06-05e7-4410-9eba-010d75603bd8,
  abstract     = {A sheet of paper is modelled as a two-dimensional network of cellulose fibres. The fibres are assumed to be either cylindrical or band-shaped. Both well-ordered fibrous structures and fibrous structures in which a random arrangement of fibres is assumed are studied. The equations for creeping flow through such structures are solved, and the calculated permeabilities are compared with measured values. Flow through such paper structures as pulp sheets and handsheets of unbeaten sulphate pulp is found to be adequately described by a structural model that assumes cellulose fibres to be band-shaped when a fibre aspect ratio of 3.5 (well-ordered structure) or 5 (random fibre distribution) is used. These values of the fibre aspect ratio compare favourably with the values used when gas diffusion through the same sheets is modelled. For newsprint sheets the measured permeability is found to be lower than that predicted by the models when physically realistic values for the aspect ratio are taken. It is also found that for all the pulp and paper grades investigated (a total of 19) the measured permeabilities and effective diffusivities correlate with each other. Copyright (C) 1996 Elsevier Science Ltd.},
  author       = {Nilsson, L and Stenström, Stig},
  issn         = {0301-9322},
  keyword      = {cellulose fibre,computational fluid dynamics,effective diffusivity,Kozeny-Carman theory,permeability,specific surface area},
  language     = {eng},
  number       = {1},
  pages        = {131--153},
  publisher    = {Elsevier},
  series       = {International Journal of Multiphase Flow},
  title        = {A study of the permeability of pulp and paper},
  url          = {http://dx.doi.org/10.1016/S0301-9322(96)00064-X},
  volume       = {23},
  year         = {1997},
}