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Influence of sorption hysteresis on moisture transport in wood

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Abstract

The independent domain theory is used to analyze the influence of sorption hysteresis on the behavior of wood exposed to environmental conditions. Due to hysteresis, sorption history of wood has an impact on its performance under varying moisture conditions. An integrated Preisach–Mayergoyz (IPM) approach that is phenomenologically sound and insightful while mathematically and computationally straightforward to implement is applied, where the parameters of the IPM space are determined from experiments. The implementation of the IPM approach in a heat and moisture transport model is validated based on independent measurements of dynamic vapor sorption in spruce wood. The transport model, including sorption hysteresis, is further used to simulate the response of a wood beam to weekly humidity variations and hourly climatic humidity and temperature variations. The analysis shows that hysteresis of wood is strongly dependent on the magnitude of moisture changes. As moisture penetrates the material faster in longitudinal than in radial direction, due to a lower vapor resistance factor, the effect of hysteresis is more pronounced deeper into the wood in longitudinal than transversal directions. Furthermore, the simulations imply that errors in moisture content of more than 20 % (or 30 %) can be made when using the main adsorption curve (or main desorption curve) instead of the hysteresis model for wood sorption behavior. Sorption hysteresis must thus be accounted for in heat and mass transport models to assess moisture-related damage risks such as mold growth, rot or moisture-induced cracking, and the IPM approach offers such an appropriate avenue.

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References

  • Bengtsson C (2001) Variation of moisture induced movements in Norway spruce (Picea abies). Ann For Sci 58:568–581

    Article  Google Scholar 

  • Carmeliet J, Derome D (2012) Temperature driven inward vapor diffusion under constant and cyclic loading in small-scale wall assemblies: part 2 heat-moisture transport simulations. Build Environ 47:161–169

    Article  Google Scholar 

  • Carmeliet J, Gaublomme J, Janssen H (2004) Influence of hysteresis on the moisture buffering of wood. In: report of annex 41 whole building heat, air and moisture response (MOIST-EN), Glasgow meeting, Oct 2004

  • Coasne B, Gubbins KE, Pellenq RJ-M (2005) Domain theory for capillary condensation hysteresis. Phys Rev B 72:024304

    Article  Google Scholar 

  • Cohan LH (1938) Sorption hysteresis and the vapor pressure of concave surfaces. J Am Chem Soc 60:433–435

    Article  CAS  Google Scholar 

  • Defraeye T, Blocken B, Carmeliet J (2012) Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modeling. Int J Heat Mass Transf 55:112–124

    Article  Google Scholar 

  • Derluyn H, Janssen H, Diepens J, Derome D, Carmeliet J (2007) Hygroscopic behavior of paper and books. J Build Phys 31:9–34

    Article  Google Scholar 

  • Derluyn H, Derome D, Carmeliet J, Stora E, Barbarulo R (2012) Hysteretic moisture behavior of concrete: modeling and analysis. Cem Concr Res 42:1379–1388

    Article  CAS  Google Scholar 

  • EN ISO 12571 (2000) Hygrothermal performance of building materials and products: determination of hygroscopic sorption properties

  • EN ISO 12572 (2001) Hygrothermal performance of building materials and products: determination of water vapour transmission properties

  • Everett DH (1954) A general approach to hysteresis part 3: a formal treatment of the independent domain model of hysteresis. Trans Faraday Soc 50:1077–1096

    Article  CAS  Google Scholar 

  • Everett DH, Smith FW (1954) A general approach to hysteresis part 2: development of the domain theory. Trans Faraday Soc 50:187–197

    Article  CAS  Google Scholar 

  • Frandsen HL, Svensson S, Damkilde L (2007) A hysteresis model suitable for numerical simulation of moisture content in wood. Holzforschung 61:175–181

    Article  CAS  Google Scholar 

  • Glass SV, Zelinka SL (2010) Moisture relations and physical properties of wood. In: Wood handbook: wood as an engineering material (Gen. Tech. Rep. FPL-GTR-190), Madison, WI: U.S, Department of Agriculture, Forest Service, Forest Products Laboratory, p 508

  • Goossens E (2003) Moisture transfer properties of coated gypsum. Dissertation, TU/Eindhoven, The Netherlands

  • Hens H (2008) Building physics: heat, air and moisture. Ernst & Sohn Verlag, Berlin

    Google Scholar 

  • Janssen H (2002) The influence of soil moisture transfer on building heat loss via the ground. Dissertation, KU Leuven, Belgium

  • Janssen H, Blocken B, Carmeliet J (2007) Conservative modelling of the moisture and heat transfer in building components under atmospheric excitation. Int J Heat Mass Transf 50:1128–1140

    Article  Google Scholar 

  • Kühlmann G (1962) Untersuchung der thermischen Eigenschaften von Holz und Spanplatten in Abhaengigkeit von Feuchtigkeit und Temperatur im hygroskopischen Bereich (Investigation of the thermal properties of wood and chipboard depending on humidity and temperature in the hygroscopic range (in German)). Holz Roh- Werkst 20:259–270

    Article  Google Scholar 

  • Kulasinski K, Keten S, Churakov SV, Guyer R, Carmeliet J, Derome D (2014) Molecular mechanism of moisture-induced transition in amorphous cellulose. ACS Macro Lett 3(10):1037–1040

    Article  CAS  Google Scholar 

  • Kulasinski K, Keten S, Guyer R, Derome D, Carmeliet J (2015) Impact of moisture adsorption on structure and physical properties of amorphous biopolymers. Macromolecules 48:2793–2800

    Article  CAS  Google Scholar 

  • Mayergoyz JD (1985) Hysteresis models for the mathematical and control theory points of view. J Appl Phys 57:3803–3805

    Article  Google Scholar 

  • McBain JW (1935) An explanation of hysteresis in the hydration and dehydration of gels. J Am Chem Soc 57:699–701

    Article  CAS  Google Scholar 

  • Merakeb S, Dubois F, Petit C (2009) Modeling of the sorption hysteresis for wood. Wood Sci Technol 43:575–589

    Article  CAS  Google Scholar 

  • Moonen P, Sluys LJ, Carmeliet J (2010) A continuous-discontinuous approach to simulate physical degradation processes in porous media. Int J Numer Methods Eng 84:1009–1037

    Article  Google Scholar 

  • Mualem Y (1974) A conceptual model of hysteresis. Water Resour Res 10:514–520

    Article  Google Scholar 

  • Patera A, Derome D, Griffa M, Carmeliet J (2013) Hysteresis in swelling and in sorption of wood tissues. J Struct Biol 182:226–234

    Article  PubMed  Google Scholar 

  • Pedersen CR (1990) Combined heat and moisture transfer in build constructions. PhD thesis. Report 214. Thermal Insulation Laboratory, Technical University of Denmark

  • Peralta P (1995) Modeling wood moisture sorption hysteresis using the independent-domain theory. Wood Fiber Sci 27:250–257

    CAS  Google Scholar 

  • Peralta P (1996) Moisture sorption hysteresis and the independent-domain theory: the moisture distribution function. Wood Fiber Sci 28:406–410

    CAS  Google Scholar 

  • Preisach F (1935) Über die magnetische Nachwirkung (On the magnetic aftereffect (in German)). Z Phys 94:277–302

    Article  Google Scholar 

  • Rao KS (1941) Hysteresis in sorption VI. Disappearance of the hysteresis loop. The role of elasticity of organogels in hysteresis in sorption. Sorption of water on some cereals. J Phys Chem 45:531–539

    Article  CAS  Google Scholar 

  • Rode C, Clorius CO (2004) Modeling of moisture transport in wood with hysteresis and temperature dependent sorption characteristics. In: performance of exterior envelopes of whole buildings IX: international conference. Oak Ridge, TN, USA

  • Salin J-G (2011) Inclusion of the sorption hysteresis phenomenon in future drying models. Some basic considerations. Maderas Cienc Tecnol 13:173–182

    Article  Google Scholar 

  • Schirmer R (1938) Die Diffusionszahl von Wasserdampf-Luftgemischen und die Verdampfungs-geschwindigkeit (The diffusion coefficient of water vapour-air mixtures and the evaporation rate (in German)). ZVDI Beheift Verfahrenstechnik 6:170

    Google Scholar 

  • SN 520 180 (1999) Isolation thermique et protection contre l’humidité dans les bâtiments (Thermal insulation and protection against moisture in buildings (in French)), Société suisse des ingénieurs et des architectes, Zürich, p 29

  • Stamm AJ (1964) Wood and cellulose science. The Ronald Press Company, New York

    Google Scholar 

  • Van Belleghem M, Steeman M, Janssen H, Janssens A, De Paepe M (2014) Validation of a coupled heat, vapour and liquid moisture transport model for porous materials implemented in CFD. Build Environ 81:340–353

    Article  Google Scholar 

  • Zillig W (2009) Moisture transport in wood using a multiscale approach. Dissertation, KU Leuven, Belgium

  • Zillig W, Derome D, Diepens J, Carmeliet J (2007). Modelling hysteresis of wood. In: Proceedings of 12th Symposium for Building Physics, Technische Universität Dresden, Dresden, Mar 29–31, vol 1, pp 406–413

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Acknowledgments

Hannelore Derluyn holds a postdoctoral fellowship and a research grant from the Research Foundation—Flanders (FWO) and acknowledges its support. SNF Sinergia Project # 125184 is acknowledged. Data visualization was aided by Daniel’s XL Toolbox addin for Excel, version 6.52, by Daniel Kraus, Würzburg, Germany.

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Author notes

  1. Alessandra Patera

    Present address: Swiss Light Source, Paul Scherrer Institute, 5232, Villigen PSI, Switzerland

Authors and Affiliations

  1. Chair of Building Physics, ETH Zurich, Stefano-Franscini-Platz 5, 8093, Zürich Hönggerberg, Switzerland

    Alessandra Patera & Jan Carmeliet

  2. Laboratory for Building Science and Technology, EMPA, Swiss Federal Laboratories for Materials Science and Technology, Überlandstrasse 129, 8600, Dübendorf, Switzerland

    Alessandra Patera, Dominique Derome & Jan Carmeliet

  3. Department of Geology and Soil Science – UGCT, Ghent University, Krijgslaan 281 S8, 9000, Ghent, Belgium

    Hannelore Derluyn

Authors
  1. Alessandra Patera
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  2. Hannelore Derluyn
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  3. Dominique Derome
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  4. Jan Carmeliet
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Correspondence to Hannelore Derluyn.

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Alessandra Patera and Hannelore Derluyn have contributed equally to this work.

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Patera, A., Derluyn, H., Derome, D. et al. Influence of sorption hysteresis on moisture transport in wood. Wood Sci Technol 50, 259–283 (2016). https://doi.org/10.1007/s00226-015-0786-9

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