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.
Highlights
Te Whare Wānaka O AorakiThe Applied Computing, Mathematics and Statistics Group (ACMS) comprises staff of the Applied Management and Computing Division at Lincoln University whose research and teaching interests are in computing and quantitative disciplines
Porous materials such as wood, grains, fruits and dairy products have microscopic capillaries and pores which cause a mixture of transfer mechanisms to occur simultaneously when subjected to various processes involving heating and cooling
Transfer of non-condensable gases, vapours and liquids can occur in porous bodies; inert gases and vapour transfer can take place by molecular means in the form of diffusion and by molar means as a filtration motion of the steam-gas mixture under a pressure gradient
Summary
The Applied Computing, Mathematics and Statistics Group (ACMS) comprises staff of the Applied Management and Computing Division at Lincoln University whose research and teaching interests are in computing and quantitative disciplines. This group was the academic section of the Centre for Computing and Biometrics at Lincoln University. It contributes computing, statistics and mathematics subjects to a wide range of other Lincoln University degrees. Research interests are in modelling and simulation, applied statistics, end user computing, computer assisted learning, aspects of computer networking, geometric modelling and visualisation
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