Modeling of the coupled heat and mass transfer through porous media on the base of the wave approach

Cs Mészáros, I. Farkas, Á Bálint, J. Buzás

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A new method is given for mathematical modeling of the coupled heat and mass transfer through porous media. The behavior of the moisture level function in the vicinity of the critical value of the conductivity probability is discussed, at general initial-, and boundary conditions. Instead of the usually applied two coupled partial differential equations of parabolic type, a coupled system of hyperbolic partial differential equations containing also explicitly the relaxation time constants is used. A general solution is presented for the moisture level function, when the relaxation time constant relevant for temperature changes tends to value zero. This description is combined with scaling relations following from the contemporary statistical physical theory of percolation phenomena.

Original languageEnglish
Pages (from-to)71-80
Number of pages10
JournalDrying Technology
Volume22
Issue number1-2
Publication statusPublished - Jan 2004

Fingerprint

moisture
partial differential equations
Relaxation time
time constant
Partial differential equations
mass transfer
Porous materials
Moisture
Mass transfer
relaxation time
heat transfer
hyperbolic differential equations
Heat transfer
Boundary conditions
boundary conditions
scaling
conductivity
Temperature
temperature

Keywords

  • Concentration and heat waves
  • Fluctuation theory
  • Irreversible thermodynamics
  • Phase transitions
  • Transport processes

ASJC Scopus subject areas

  • Chemical Engineering (miscellaneous)

Cite this

Modeling of the coupled heat and mass transfer through porous media on the base of the wave approach. / Mészáros, Cs; Farkas, I.; Bálint, Á; Buzás, J.

In: Drying Technology, Vol. 22, No. 1-2, 01.2004, p. 71-80.

Research output: Contribution to journalArticle

Mészáros, Cs ; Farkas, I. ; Bálint, Á ; Buzás, J. / Modeling of the coupled heat and mass transfer through porous media on the base of the wave approach. In: Drying Technology. 2004 ; Vol. 22, No. 1-2. pp. 71-80.
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