Mathematical modeling of drying processes using methods of the nonequilibrium thermodynamics and percolation theory

Cs Mészáros, Á Bálint, I. Kirschner, K. Gottschalk, I. Farkas

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1297-1304
Number of pages8
JournalDrying Technology
Volume25
Issue number7-8
DOIs
Publication statusPublished - Jul 2007

Fingerprint

nonequilibrium thermodynamics
partial differential equations
drying
Partial differential equations
Drying
parabolic differential equations
Thermodynamics
fluctuation theory
moisture
Relaxation time
time constant
mass transfer
Porous materials
mathematical models
Moisture
Mass transfer
Physics
relaxation time
Phase transitions
heat transfer

Keywords

  • Coupled heat and mass transfer
  • Percolation
  • Porous media
  • Wave approach

ASJC Scopus subject areas

  • Chemical Engineering (miscellaneous)

Cite this

Mathematical modeling of drying processes using methods of the nonequilibrium thermodynamics and percolation theory. / Mészáros, Cs; Bálint, Á; Kirschner, I.; Gottschalk, K.; Farkas, I.

In: Drying Technology, Vol. 25, No. 7-8, 07.2007, p. 1297-1304.

Research output: Contribution to journalArticle

Mészáros, Cs ; Bálint, Á ; Kirschner, I. ; Gottschalk, K. ; Farkas, I. / Mathematical modeling of drying processes using methods of the nonequilibrium thermodynamics and percolation theory. In: Drying Technology. 2007 ; Vol. 25, No. 7-8. pp. 1297-1304.
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