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Original Articles

A mathematical model of paper drying

Pages 26-31 | Received 30 Sep 1999, Published online: 14 Oct 2010
 

Abstract

The mathematical model of wood drying based on a detailed transport phenomena considering both heat and moisture transfer have been offered in the article [5]. We apply this model to quickly moving paper sheet. The range of the moisture content correspond to the period of drying and only vapor movement in the web is possible. By averaging we have obtained the desired model as a system of two nonlinear first order ordinary differential equations.

Straipsnyje remiamasi [5] darbu, kuriame buvo pasiūlytas detalus šilumos ir dregmes perdavimo medyje matematinis modelis. Autorius pritaiko šiuos rezultatus popieriaus gamybos technologinio ciklo modeliavimui. Nagrinejamas greitai judančios popieriaus mases džiovinimo procesas. Aptarti matematiniai modeliai, aprašantys temperatūros ir dregmes pokyčius ivairiose džiovinimo stadijose. Gautoji diferencialiniu lygčiu sistema vidurkinimo metodu pertvarkoma i seka dvieju paprastuju diferencialiniu lygčiu sistemu, kur kiekviena sistema atitinka viena džiovinimo cilindra.

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