A new application of percolation theory for coupled transport phenomena through porous media

Cs Mészáros, I. Farkas, Á Bálint

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

A new application of the percolation theory for describing the coupled heat and mass transport phenomena through porous media is given. The space and time dependence of the temperature and moisture level functions are calculated by taking into account the discrete, sudden changes of the diffusion coefficient in the vicinity of the critical points. A further possible application of the method leading to exact treatment of the thermodynamic state dependence of the conductivity and coupling coefficients is also indicated.

Original languageEnglish
Pages (from-to)395-404
Number of pages10
JournalMathematics and Computers in Simulation
Volume56
Issue number4-5
DOIs
Publication statusPublished - 2001

Fingerprint

Percolation Theory
Transport Phenomena
Porous Media
Porous materials
Heat Transport
Mass Transport
Moisture
Time Dependence
Diffusion Coefficient
Conductivity
Critical point
Thermodynamics
Mass transfer
Coefficient
Temperature
Porous media
Coefficients
Hot Temperature
State dependence
Time dependence

Keywords

  • Coupled transport processes
  • Percolation theory
  • Phase transitions
  • Porous media

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

A new application of percolation theory for coupled transport phenomena through porous media. / Mészáros, Cs; Farkas, I.; Bálint, Á.

In: Mathematics and Computers in Simulation, Vol. 56, No. 4-5, 2001, p. 395-404.

Research output: Contribution to journalArticle

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