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Moisture Transport in Porous Media. Modelling Based on Kirchhoff Potentials

Arfvidsson, Jesper LU (1998) In Report TVBH 1010.
Abstract
The work presented in this thesis is focused on the development of the new concept to describe isothermal moisture transport using Kirchhoff potentials. The first four papers deal with moisture transport in porous media using Kirchhoff potentials. The last three papers deal with wood. Here the theory is extended to the case of anisotropic moisture transport. The seven papers have the following contents:



I The theoretical, numerical and computational basis for isothermal moisture transport in building materials using Kirchhoff potentials is described. It is shown that Kirchhoff potentials simplify the whole process from measurement via mathematical and numerical modelling to numerical calculations.



II A... (More)
The work presented in this thesis is focused on the development of the new concept to describe isothermal moisture transport using Kirchhoff potentials. The first four papers deal with moisture transport in porous media using Kirchhoff potentials. The last three papers deal with wood. Here the theory is extended to the case of anisotropic moisture transport. The seven papers have the following contents:



I The theoretical, numerical and computational basis for isothermal moisture transport in building materials using Kirchhoff potentials is described. It is shown that Kirchhoff potentials simplify the whole process from measurement via mathematical and numerical modelling to numerical calculations.



II A fast transient technique for determining the diffusion coefficients in hygroscopic materials is presented. A sample of the material is subjected to a staircase function of steps of relative humidity and the moisture uptake is measured by continuous weighing.



III The paper presents a method to calculate the moisture penetration depth and the medium moisture level in a material subjected to a periodic relative humidity variation at the boundary. The moisture flow process may be highly non-linear.



IV A method to determine the sorption coefficient in a semi-infinite region is presented. A Boltzmann solution for piece-wise linear transport data is used. For the special case of linear data in two-intervals, explicit formulas to get the sorption coefficient are given.



V A theory based on the use of Kirchhoff potentials to calculate moisture flow in wood is presented. Anisotropy is allowed for using different flow coefficients in the different directions, in both sapwood and heartwood.



VI The paper presents a calculation procedure and a two-dimensional PC-model especially designed for drying of wood. The model accounts for different moisture flow coefficients in radial and tangential directions for both sapwood and heartwood. Calculation results from the model are compared with independently measured two-dimensional moisture distributions. The agreement was good.



VII Measurements of moisture content distributions were performed during drying of Scots pine (Pinus sylvestris). The measurements were done in heartwood and sapwood separately and in all three directions to grain separately A new method evaluate flow coefficients from transient measurements is presented. (Less)
Abstract (Swedish)
Popular Abstract in Swedish

Avhandlingen innehåller sju artiklar.



Här presenteras ett nytt koncept för att beskriva hur fukt transporteras i porösa material. Detta bygger på införandet av en äkta flödespotential, Kirchhoff's potential. Betraktelsesättet täcker hela processen från mätning av materialdata till numerisk beräkning av fukttransport.



Modeller för beräkning av fuktinträngning vid stegändring samt vid periodisk variation av fuktigheten på en yta presenteras. De avslutande tre artiklarna behandlar teori, numerik samt datormodell för beräkning av anisotropt fuktflöde i trä.
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author
supervisor
opponent
  • Prof Nilsson, Lars Olof, Chalmers, Gothenburg
organization
publishing date
type
Thesis
publication status
published
subject
keywords
moisture distribtion, wood drying, wood, diffusion coefficient, numerical modelling, moisture flow, Moisture, transient measurements, periodic boundary condition, penetration depth, sorption coefficient, non-linear moisture flow, calculation model, anisitropy, Kirchhoff potentials, evaluation, moisture transport, Building construction, Byggnadsteknik
in
Report TVBH
volume
1010
pages
130 pages
publisher
Byggnadsfysik LTH, Lunds Tekniska Högskola
defense location
Sektionen för väg- och vattenbyggnad, John Ericssons väg 1, Hörsal V:A, Tekniska fakulteten vid Lunds universitet
defense date
1998-05-26 13:15:00
external identifiers
  • other:TVBH-1010
ISSN
0349-4950
ISBN
91-88722-12-0
language
English
LU publication?
yes
id
ccc4f383-848f-493e-868d-17c16c05a407 (old id 38691)
date added to LUP
2016-04-01 15:27:16
date last changed
2019-05-23 17:22:32
@phdthesis{ccc4f383-848f-493e-868d-17c16c05a407,
  abstract     = {{The work presented in this thesis is focused on the development of the new concept to describe isothermal moisture transport using Kirchhoff potentials. The first four papers deal with moisture transport in porous media using Kirchhoff potentials. The last three papers deal with wood. Here the theory is extended to the case of anisotropic moisture transport. The seven papers have the following contents:<br/><br>
<br/><br>
I The theoretical, numerical and computational basis for isothermal moisture transport in building materials using Kirchhoff potentials is described. It is shown that Kirchhoff potentials simplify the whole process from measurement via mathematical and numerical modelling to numerical calculations.<br/><br>
<br/><br>
II A fast transient technique for determining the diffusion coefficients in hygroscopic materials is presented. A sample of the material is subjected to a staircase function of steps of relative humidity and the moisture uptake is measured by continuous weighing.<br/><br>
<br/><br>
III The paper presents a method to calculate the moisture penetration depth and the medium moisture level in a material subjected to a periodic relative humidity variation at the boundary. The moisture flow process may be highly non-linear.<br/><br>
<br/><br>
IV A method to determine the sorption coefficient in a semi-infinite region is presented. A Boltzmann solution for piece-wise linear transport data is used. For the special case of linear data in two-intervals, explicit formulas to get the sorption coefficient are given.<br/><br>
<br/><br>
V A theory based on the use of Kirchhoff potentials to calculate moisture flow in wood is presented. Anisotropy is allowed for using different flow coefficients in the different directions, in both sapwood and heartwood.<br/><br>
<br/><br>
VI The paper presents a calculation procedure and a two-dimensional PC-model especially designed for drying of wood. The model accounts for different moisture flow coefficients in radial and tangential directions for both sapwood and heartwood. Calculation results from the model are compared with independently measured two-dimensional moisture distributions. The agreement was good.<br/><br>
<br/><br>
VII Measurements of moisture content distributions were performed during drying of Scots pine (Pinus sylvestris). The measurements were done in heartwood and sapwood separately and in all three directions to grain separately A new method evaluate flow coefficients from transient measurements is presented.}},
  author       = {{Arfvidsson, Jesper}},
  isbn         = {{91-88722-12-0}},
  issn         = {{0349-4950}},
  keywords     = {{moisture distribtion; wood drying; wood; diffusion coefficient; numerical modelling; moisture flow; Moisture; transient measurements; periodic boundary condition; penetration depth; sorption coefficient; non-linear moisture flow; calculation model; anisitropy; Kirchhoff potentials; evaluation; moisture transport; Building construction; Byggnadsteknik}},
  language     = {{eng}},
  publisher    = {{Byggnadsfysik LTH, Lunds Tekniska Högskola}},
  school       = {{Lund University}},
  series       = {{Report TVBH}},
  title        = {{Moisture Transport in Porous Media. Modelling Based on Kirchhoff Potentials}},
  volume       = {{1010}},
  year         = {{1998}},
}