Skip to main content
SpringerLink
Log in

Comparison between two- and three-dimensional diffusion models to describe wood drying at low temperature

  • Original
  • Published:
European Journal of Wood and Wood Products Aims and scope Submit manuscript

Abstract

An experiment on convective drying of lumber was performed at a temperature of 40 °C. A two-dimensional numerical solution of the diffusion equation with boundary condition of the third kind and variable effective mass diffusivity (model 1) was proposed to describe drying. The solution was coupled with an optimizer to determine the process parameters. The results were compared with those obtained by a typical three-dimensional numerical solution (model 2). The analyses of the results indicated that the parameters (and the simulation) obtained using model 1 are very close to the results obtained with model 2. However, the optimization time for model 1 is about 20 times less than the optimization time for model 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Baronas R, Ivanauskas F, Juodeikiene I, Kajalavicius A (2001) Modelling of moisture movement in wood during outdoor storage. Nonlinear Anal Model Control 6(2):3–14

    Google Scholar 

  • Da Silva WP, Silva CMDPS, Farias VSO, Gomes JP (2012) Diffusion models to describe the drying process of peeled bananas: optimization and simulation. Dry Technol 30(2):164–174

    Article  Google Scholar 

  • Da Silva WP, Silva LD, Farias VSO, Silva CMDPS, Ataíde JSP (2013) Three-dimensional numerical analysis of water transfer in wood: determination of an expression for the effective mass diffusivity. Wood Sci Technol 47:897–912

    Article  Google Scholar 

  • Dedic AD, Mujumdar AS, Voronjec DK (2003) A three dimensional model for heat and mass transfer in convective wood drying. Dry Technol 21(1):1–15

    Article  Google Scholar 

  • Dincer I (1998) Moisture transfer analysis during drying of slab woods. Heat Mass Transfer 34(4):317–320

    Article  CAS  Google Scholar 

  • Jian-feng Z, Ji-you G, Ying-chun C (2007) Analysis of moisture diffusivity of larch timber during convective drying condition by using Crank’s method and Dincer’s method. J For Res 18(3):199–203

    Article  Google Scholar 

  • Kulasiri D, Woodhead I (2005) On modelling the drying of porous materials: analytical solutions to coupled partial differential equations governing heat and moisture transfer. Math Probl Eng 2005(3):275–291

    Article  Google Scholar 

  • Liu JY, Simpson WT, Verrill SP (2001) An inverse moisture diffusion algorithm for the determination of diffusion coefficient. Dry Technol 19(8):1555–1568

    Article  Google Scholar 

  • Mackerle J (2005) Finite element analyses in wood research: a bibliography. Wood Sci Technol 39(7):579–600

    Article  CAS  Google Scholar 

  • Moreno R, Antolín G, Reyes A, Alvarez P (2004) Drying characteristics of forest biomass particles of Pinus radiata. Biosyst Eng 88(1):105–115

    Article  Google Scholar 

  • Olek W, Weres J (2007) Effects of the method of identification of the diffusion coefficient on accuracy of modeling bound water transfer in wood. Transp Porous Med 66(1–2):135–144

    Article  CAS  Google Scholar 

  • Pang S (1997) Relationship between a diffusion model and a transport model for softwood drying. Wood Fiber Sci 29(1):58–67

    CAS  Google Scholar 

  • Patankar SV (1980) Numerical heat transfer and fluid flow. Hemisphere Publishing Corporation, New York

    Google Scholar 

  • Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1996) Numerical recipes in fortran 77. The art of Scientific Computing, 2nd edn, vol 2. Cambridge University Press, New York, pp 1–933

    Google Scholar 

  • Ricardez AP, Suárez JR, Berumen LA (2005) The drying of red oak at vacuum pressure. Maderas Cienc Technol 7(1):23–26

    Google Scholar 

  • Salin JG (2008) Drying of liquid water in wood as influenced by the capillary fiber network. Dry Technol 26(5):560–567

    Article  CAS  Google Scholar 

  • Silva WP, Silva LD, Silva CMDPS, Nascimento PL (2011) Optimization and simulation of drying processes using diffusion models: application to wood drying using forced air at low temperature. Wood Sci Technol 45(4):787–800

    Article  Google Scholar 

  • Silva WP, Silva CMDPS, Silva LD, Farias VSO (2013) Drying of clay slabs: experimental determination and prediction by two-dimensional diffusion models. Ceram Int 39(7):7911–7919

    Article  Google Scholar 

Download references

Acknowledgments

The first author would like to thank CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) for the support given to this research and for his research grant (Process Number 301697/2012-4).

Author information

Authors and Affiliations

  1. Center of Sciences and Technology, Federal University of Campina Grande, Campina Grande, Brazil

    Wilton Pereira da Silva, Cleide Maria Diniz Pereira da Silva e Silva & Andréa Fernandes Rodrigues

Authors
  1. Wilton Pereira da Silva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cleide Maria Diniz Pereira da Silva e Silva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andréa Fernandes Rodrigues
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wilton Pereira da Silva.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

da Silva, W.P., da Silva e Silva, C.M.D.P. & Rodrigues, A.F. Comparison between two- and three-dimensional diffusion models to describe wood drying at low temperature. Eur. J. Wood Prod. 72, 527–533 (2014). https://doi.org/10.1007/s00107-014-0812-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00107-014-0812-x

Keywords

Search

Navigation