Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites

This paper presents an analytical modeling approach to predict the effective in-plane and out-of-plane thermal conductivities of laminated wood composite products such as Cross-Laminated Timber (CLT). Considering wood’s orthotropic nature, having models that could be used to estimate the effective t...

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Main Authors: Harsh Pal, Sardar Malek
Format: Article
Language:English
Published: North Carolina State University 2025-01-01
Series:BioResources
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Online Access:https://ojs.bioresources.com/index.php/BRJ/article/view/23361
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author Harsh Pal
Sardar Malek
author_facet Harsh Pal
Sardar Malek
author_sort Harsh Pal
collection DOAJ
description This paper presents an analytical modeling approach to predict the effective in-plane and out-of-plane thermal conductivities of laminated wood composite products such as Cross-Laminated Timber (CLT). Considering wood’s orthotropic nature, having models that could be used to estimate the effective thermal conductivity properties of laminated wood products in various directions becomes essential for understanding the coupling between mechanical and thermal properties, as well as predicting the dimensional stability of large wood composite panels. For this purpose, analytical thermal conductivity equations were derived in three orthogonal directions, considering different properties of wood along its orthotropic directions, following Fourier’s Law. The derived equations were then applied to different CLT panel products and results were compared to assess their accuracy. As CLT panels may be produced without edge gluing, two scenarios were investigated to understand the effect of edge gluing on thermal conductivity of such panels. First, the presence of adhesive between timber layers was ignored (i.e. not edge-glued panels); second, adhesive and its thickness were included. Results demonstrated the reasonable accuracy of the proposed approach in predicting the thermal conductivity of CLT panels made with different gluing methods. The modeling of imperfect bonds and air gaps is also briefly discussed.
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institution Kabale University
issn 1930-2126
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publishDate 2025-01-01
publisher North Carolina State University
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spelling doaj-art-c8f83f50e1994ee085a8379844f4b9b72025-02-10T23:56:27ZengNorth Carolina State UniversityBioResources1930-21262025-01-01201215021701507Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood CompositesHarsh Pal0Sardar Malek1https://orcid.org/0000-0002-9290-9689Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee, Uttarakhand, IndiaDepartment of Civil Engineering, University of Victoria, Victoria, BC V8P 5C2 CanadaThis paper presents an analytical modeling approach to predict the effective in-plane and out-of-plane thermal conductivities of laminated wood composite products such as Cross-Laminated Timber (CLT). Considering wood’s orthotropic nature, having models that could be used to estimate the effective thermal conductivity properties of laminated wood products in various directions becomes essential for understanding the coupling between mechanical and thermal properties, as well as predicting the dimensional stability of large wood composite panels. For this purpose, analytical thermal conductivity equations were derived in three orthogonal directions, considering different properties of wood along its orthotropic directions, following Fourier’s Law. The derived equations were then applied to different CLT panel products and results were compared to assess their accuracy. As CLT panels may be produced without edge gluing, two scenarios were investigated to understand the effect of edge gluing on thermal conductivity of such panels. First, the presence of adhesive between timber layers was ignored (i.e. not edge-glued panels); second, adhesive and its thickness were included. Results demonstrated the reasonable accuracy of the proposed approach in predicting the thermal conductivity of CLT panels made with different gluing methods. The modeling of imperfect bonds and air gaps is also briefly discussed.https://ojs.bioresources.com/index.php/BRJ/article/view/23361 thermal conductivitytimberadhesivescross-laminated timber (clt)heat transfer modelmodelingorthotropic materials
spellingShingle Harsh Pal
Sardar Malek
Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
BioResources
thermal conductivity
timber
adhesives
cross-laminated timber (clt)
heat transfer model
modeling
orthotropic materials
title Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
title_full Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
title_fullStr Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
title_full_unstemmed Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
title_short Analytical Equations for Predicting Effective Thermal Conductivity in Laminated Wood Composites
title_sort analytical equations for predicting effective thermal conductivity in laminated wood composites
topic thermal conductivity
timber
adhesives
cross-laminated timber (clt)
heat transfer model
modeling
orthotropic materials
url https://ojs.bioresources.com/index.php/BRJ/article/view/23361
work_keys_str_mv AT harshpal analyticalequationsforpredictingeffectivethermalconductivityinlaminatedwoodcomposites
AT sardarmalek analyticalequationsforpredictingeffectivethermalconductivityinlaminatedwoodcomposites