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    On modelling the drying of porous materials: analytical solutions to coupled partial differential equations governing heat and moisture transfer

    Kulasiri, Gamalathge D.; Woodhead, Ian
    Abstract
    Luikov's theory of heat and mass transfer provides a framework to model drying porous materials. Coupled partial differential equations governing the moisture and heat transfer can be solved using numerical techniques, and in this paper we solve them analytically in a setting suitable for industrial drying situations. We discuss the nature of the solutions using the physical properties of Pinus radiata. It is shown that the temperature gradients play a significant role in deciding the moisture profiles within the material when thickness is large and that models based only on moisture potential gradients may not be sufficient to explain the drying phenomena in moist porous materials.... [Show full abstract]
    Keywords
    porous materials; drying; modelling; moisture transfer; heat transfer; partial differential equations; Numerical & Computational Mathematics
    Fields of Research
    01 Mathematical Sciences; 09 Engineering
    Date
    2005
    Type
    Journal Article
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    • Centre for Advanced Computational Solutions [53]
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    Copyright © 2005 Hindawi Publishing Corporation
    Citation
    Kulasiri, D., & Woodhead, I. (2005). On modelling the drying of porous materials: analytical solutions to coupled partial differential equations governing heat and moisture transfer. Mathematical Problems in Engineering, 2005(3), 275-291.
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