Mathematical and physical foundations of drying theories

I. Farkas, Cs Mészâros, Á Bâlint

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper a survey is given concerning to the stochastic modelling approaches in transport processes with a special emphasis on application possibilities for simultaneous heat and mass transfer in drying. First, the mostly used classical modelling methods for drying are discussed which lead to a linear parabolic type of PDE systems supposing constant (stateindependent) conductivity coefficients. Powerful discretisation methods are shown for their solution. Basic principles of variational calculus are discussed then with an attention on direct methods. As a simple application a first-order approximation example is formed, and the solution of the system equation is presented. It is also shown, that the thermodynamical state-dependence of the conductivity coefficients has a crucial influence on the flow pattern of the coupled heat and mass transfer, which is particularly obvious in the cases, when the so-called percolative phase transitions take place. It effects a discrete change of the conductivity coefficients and their probabilities as well. An illustration is shown for percolative phase transition. Describing statistical properties of percolative system the dynamic scaling theory was applied. Characterising the system decay a correlation length was introduced as a parameter. Finally, a simple case of two fields is described together with relevant transfer functions.

Original language English 541-559 19 Drying Technology 18 3 Published - 2000

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drying
Drying
Mass transfer
Phase transitions
Heat transfer
Variational techniques
conductivity
mass transfer
coefficients
heat transfer
Flow patterns
Transfer functions
pulse detonation engines
calculus
transfer functions
flow distribution
scaling
decay
approximation

Keywords

• Direct variational method
• Drying
• Dynamical scaling theory
• Modelling
• Percolation theory
• Phase transition
• Transport phenomena

ASJC Scopus subject areas

• Chemical Engineering (miscellaneous)

Cite this

Farkas, I., Mészâros, C., & Bâlint, Á. (2000). Mathematical and physical foundations of drying theories. Drying Technology, 18(3), 541-559.

Mathematical and physical foundations of drying theories. / Farkas, I.; Mészâros, Cs; Bâlint, Á.

In: Drying Technology, Vol. 18, No. 3, 2000, p. 541-559.

Research output: Contribution to journalArticle

Farkas, I, Mészâros, C & Bâlint, Á 2000, 'Mathematical and physical foundations of drying theories', Drying Technology, vol. 18, no. 3, pp. 541-559.
Farkas, I. ; Mészâros, Cs ; Bâlint, Á. / Mathematical and physical foundations of drying theories. In: Drying Technology. 2000 ; Vol. 18, No. 3. pp. 541-559.
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