Mathematical modeling of wood drying process¹

This work was supported in part by Lithuanian State Science and Studies Foundation grant T‐576 and Eureka grant OPTPAPER 2623, E‐2002.02.27

Abstract

This work focuses on the development of mathematical models describing moisture movement in wood, when the wood is considered as porous medium. Main moisture transport mechanisms are discussed. It is shown how the wood can be described as a two‐ or three‐phase system. Summaries of several multiphase flow models are presented in the hierarchical order: from the most general models to more simple examples. The approximation steps are described explicitly, and all assumptions are given in detail. It shown how models for specific applications in wood drying or saturation can be obtained.

Šiame straipsnyje pagrindinis demesys skiriamas dregmes koncentracijos kitimo medienoje matematiniam modeliavimui, kai mediena yra nagrinejama kaip poringa terpe. Yra aptarti pagrindiniai skysčiu judejimo mechanizmai, naudojant dvifazius ir trifazius artinius. Sudaryta hierarchine modeliu sistema, apimanti tiek pačius bendriausius modelius, tiek ir ju supaprastintus varijantus. Visi modeliu išvedimo žingsniai aprašomi išreikštiniu būdu, griežtai suformuluotos tokiu modeliu teisingumo prielaidos. Parodyta, kad esant tam tikroms salygoms iš šiu modeliu galime gauti gerai žinomus artinius, teoriškai pagristos ju koeficientu išraiškos.

Key words:

• wood drying
• mathematical models
• multiphase flow

Notes

This work was supported in part by Lithuanian State Science and Studies Foundation grant T‐576 and Eureka grant OPTPAPER 2623, E‐2002.02.27