Home Inverse determination of thermal conductivity in lumber based on genetic algorithms
Article
Licensed
Unlicensed Requires Authentication

Inverse determination of thermal conductivity in lumber based on genetic algorithms

  • Jingyao Zhao , Zongying Fu , Xiaoran Jia and Yingchun Cai EMAIL logo
Published/Copyright: May 7, 2015
Become an author with De Gruyter Brill

Abstract

A 3D numerical solution of the heat conduction equation is proposed based on the finite volume method to describe the heating of wood, where the thermal conductivity (ThC) is variable, and the convective heat transfer coefficient is constant. ThC parameters were found through an optimization process based on genetic algorithms. The objective function between measured and simulated curves is determined, and parameters with greatest correspondence between measured and estimated values were obtained. As a result, a new equation for ThC is proposed, which depends on moisture and temperature. The proposed coefficient is validated by experiments, and a good agreement was found between experimental heating curves and those obtained by simulation by means of the new heat conduction equation.


Corresponding author: Yingchun Cai, Key Laboratory of Bio-based Material Science and Technology (Ministry of Education), College of Material Science and Engineering, Northeast Forestry University, Harbin 150040, P.R. China, Phone: +86 451 8219 1002, Fax: +86 451 8219 1002, e-mail:

Acknowledgments

The project was supported by the “Fundamental Research Funds for the Central Universities,” Grant No. 2572014AB21.

References

Billaud, Y., Boulet, P., Pizzo, Y., Parent, G., Acem, Z., Kaiss, A., Collin, A., Porterie, B. (2013) Determination of woody fuel flame properties by means of emission spectroscopy using a genetic algorithm. Comb Sci. Technol. 185:579–599.10.1080/00102202.2012.731118Search in Google Scholar

Dupleix, A., Kusiak, A., Hughes, M., Rossi, F. (2013) Measuring the thermal properties of green wood by the transient plane source (TPS) technique. Holzforschung 67:437–445.10.1515/hf-2012-0125Search in Google Scholar

John, E., Hakan, J. (2006) Numerical determination of diffusion coefficients in wood using data from CT-scanning. Wood Fiber Sci. 38:334–344.Search in Google Scholar

Holland, J.H. Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor, 1975.Search in Google Scholar

Lei, Y.J. Genetic Algorithms Tools and Application in Matlab. 2nd ed., Xi-An University Press, Beijing. (In Chinese), 2014.Search in Google Scholar

Louis, G., Maxime, T.G., François, M.P. (2009) Review of utilization of genetic algorithms in heat transfer problems. Int. J. Heat Mass Transfer. 52:2169–2188.10.1016/j.ijheatmasstransfer.2008.11.015Search in Google Scholar

Michalewicz, Z. Genetic Algorithms + Data Structures = Evolution Programs, AI Series Springer-Verlag, New York, 1992.10.1007/978-3-662-02830-8Search in Google Scholar

Mariani, V.C., Coelho, L.S. (2009) Global optimization of thermal conductivity using stochastic algorithms. Inverse Probl. Sci. Eng. 17:511–535.10.1080/17415970802214673Search in Google Scholar

Marcelo, J.C., Helcio, R.B.O., George, S.D. (2006) Inverse and optimization problems in heat transfer. J. Braz. Soc. Mech. Sci. Eng. 28:1–24.10.1590/S1678-58782006000100001Search in Google Scholar

The Math Works. (2014) Matlab User Guide. https://www.mathworks.com/store/link/products/student/new?s_iid=htb_buy_gtwy_cta3. Accessed on 2014.Search in Google Scholar

Olek, W., Perre, P., Weres, J. (2005) Inverse analysis of the transient bound water diffusion in wood. Holzforschung 59:38–45.10.1515/HF.2005.007Search in Google Scholar

Patankar, S.V. Numerical Heat Transfer and Fluid Flow. Hemisphere Publishing Corporation, New York, 1980.Search in Google Scholar

Phillips, S.W. Inverse Identification of Transient Thermal Properties and Heat Sources Using Genetic Algorithms. M.S. Thesis. Cornell University, New York, 2006.Search in Google Scholar

Pan, K.Y., Wang, X.Z., Liu, X.D. Modern Drying Technology. 2nd ed., Chemical Industry Press, Beijing (In Chinese), 2007.Search in Google Scholar

Silva, W.P., Silva, C.M.D.P.S. (2014) Calculation of the convective heat transfer coefficient and thermal diffusivity of cucumbers using numerical simulation and the inverse method. J. Food Sci Technol 51:1750–1761.10.1007/s13197-012-0738-4Search in Google Scholar PubMed PubMed Central

Silva, W.P., Silva, L.D., Silva, C.M.D.P.S., Nascimento, P.L. (2011) Optimization and simulation of drying processes using diffusion models: application to wood drying using forced air at low temperature. Wood Sci. Technol. 45:787–800.10.1007/s00226-010-0391-xSearch in Google Scholar

Silva, W.P., Silva, L.D., Farias, V.S.O., Silva, C.M.D.P.S., Ataide, J.S.P. (2013) Three-dimensional numerical analysis of water transfer in wood: determination of an expression for the effective mass diffusivity. Wood Sci. Technol. 47:897–912.10.1007/s00226-013-0544-9Search in Google Scholar

Siau, J.F. Wood: Influence of Moisture on Physical Properties. Virginia Polytechnic Institute and State Univ., Blacksburg, VA, 1995.Search in Google Scholar

Smith, G.D. Numerical Solution of Partial Differential Equations. 3rd ed., Oxford University Press, Oxford, UK, 1985.Search in Google Scholar

Tremblay, C., Cloutier, A., Fortin, Y. (2000) Experimental determination of the convective heat and mass transfer coefficients for wood drying. Wood Sci. Technol. 34:253–276.10.1007/s002260000045Search in Google Scholar

Weres, J., Olek, W., Kujawa, S. (2009) Comparison of optimization algorithms for inverse FEA of heat and mass transport in biomaterials. J. Theor. Appl. Mech. 47:701–716.Search in Google Scholar

Walter, S., Stefan, H., Peter, N. (2011) Thermal behaviour of Norway spruce and European beech in and between the principal anatomical directions. Holzforschung 65:369–375.10.1515/hf.2011.036Search in Google Scholar

Wood Handbook. Wood as an engineering material. Gen. Tech. Rep. FPL-GTR-113. Madison, WI: U.S. Department of Agriculture, Forest Service, Forest Products Laboratory. 1999.Search in Google Scholar

Yu, C.M. Numerical Analysis of Heat and Mass Transfer for Porous Materials. Tsinghua University Press, Beijing (In Chinese), 2011.Search in Google Scholar

Zhao, J.Y., Fu, Z.Y., Cai, Y.C. (2015). The study on inverse determination of thermal conductivity in wood with finite difference method. Scientia Silvae Sinicae. In press (In Chinese).Search in Google Scholar

Received: 2015-1-14
Accepted: 2015-3-30
Published Online: 2015-5-7
Published in Print: 2016-3-1

©2016 by De Gruyter

Downloaded on 26.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/hf-2015-0019/html
Scroll to top button