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

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  • Don Kulasiri
  • Ian Woodhead

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.

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  • Don Kulasiri & Ian Woodhead, 2005. "On modelling the drying of porous materials: analytical solutions to coupled partial differential equations governing heat and moisture transfer," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-17, January.
    • Handle: RePEc:hin:jnlmpe:162741
    DOI: 10.1155/MPE.2005.275
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