Mathematical Modeling of Drying Processes Using Methods of the Nonequilibrium Thermodynamics and Percolation Theory

A twofold refinement of the basic mathematical model for describing a coupled heat and mass transfer taking place in porous media is presented. The common application of irreversible thermodynamics and fluctuation theory of phase transitions is proposed for calculating the moisture level and tempera...

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Bibliographic Details
Published inDrying technology Vol. 25; no. 7-8; pp. 1297 - 1304
Main Authors Mészáros, Cs, Bálint, Á., Kirschner, I., Gottschalk, K., Farkas, I.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.08.2007
Subjects
Coupled heat and mass transfer
Percolation
Porous media
Wave approach
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Summary:A twofold refinement of the basic mathematical model for describing a coupled heat and mass transfer taking place in porous media is presented. The common application of irreversible thermodynamics and fluctuation theory of phase transitions is proposed for calculating the moisture level and temperature. Instead of parabolic partial differential equations, hyperbolic type partial differential equations are used. The relaxation time constants, whose percolation state-dependence is also taken into account, are incorporated into this formalism. Some possible new research domains in mathematical and statistical physics are also indicated.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0737-3937
1532-2300
DOI:10.1080/07373930701438857