Mathematical modeling of the simultaneous convection-anomalous diffusion processes in porous media

After a brief overview of most important general features of the nonclassical diffusion on the base of the extended irreversible thermodynamics, the relevant mathematical formulae are incorporated into general formalism of the simultaneous convection-diffusion processes taking place in porous media....

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Bibliographic Details
Published inDrying technology Vol. 35; no. 8; pp. 994 - 998
Main Authors Mészáros, Cs, Farkas, I., Gottschalk, K., Bálint, Á.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 11.06.2017
Taylor & Francis Ltd
Subjects
Anomalous diffusion
Convection
Convection modes
Convection-diffusion equation
drying
Porous materials
Porous media
symbolic computation
Transport processes
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Summary:After a brief overview of most important general features of the nonclassical diffusion on the base of the extended irreversible thermodynamics, the relevant mathematical formulae are incorporated into general formalism of the simultaneous convection-diffusion processes taking place in porous media. Then, using the simplest variant of the convection-diffusion equation, novel-type analytic solutions are derived for transport processes with both subdiffusion and superdiffusion characters in Lagrangian representation.
ISSN:0737-3937
1532-2300
DOI:10.1080/07373937.2016.1274323