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A mathematical model of paper drying

    J. Cepitis Affiliation

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.


Popieriaus džiovinimo matematinis modelis


Santrauka


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.


First Published Online: 14 Oct 2010

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How to Cite
Cepitis, J. (2000). A mathematical model of paper drying. Mathematical Modelling and Analysis, 5(1), 26-31. https://doi.org/10.3846/13926292.2000.9637125
Published in Issue
Dec 15, 2000
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