Software and Algorithmic Aspects of Parallel Calculation of Non-Isothermal Moisture Transfer in Fractal-Structure Materials

The mathematical model of non-isothermal moisture transfer and rheological behavior of wood during drying with taking into account the fractal structure of this material is regarded in the article. The mathematical tools of integration and differentiation of fractional order for description the mathematical model of this process was used. For finding the numerical solution of this problem the finite-difference method predictor-corrector was used. Results show the practicability of using the mathematical tools of integration and differentiation of fractional order to calculate the temperature and humidity fields and the stress-strain state during drying timber.

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Mathematical modeling of non-isothermal moisture transfer and visco-elastic deformation in the materials with fractal structure

2016 XIth International Scientific and Technical Conference Computer Sciences and Information Technologies (CSIT) ◽

10.1109/stc-csit.2016.7589877 ◽

2016 ◽

Cited By ~ 5

Author(s):

Yaroslav Sokolovskyy ◽

Volodymyr Shymanskyi ◽

Mar'iana Levkovych

Keyword(s):

Mathematical Modeling ◽

Elastic Deformation ◽

Fractal Structure ◽

Moisture Transfer

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ANALYTICAL EXPRESSIONS FOR A SOLUTION OF CONVECTIVE HEAT AND MOISTURE TRANSFER EQUATIONS IN THE FREQUENCY DOMAIN FOR LAYERED MEDIA

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-6172-2015-3-4-55-67 ◽

2015 ◽

Vol 3 (4) ◽

pp. 55-67

Author(s):

A.L. Karchevsky ◽

B.R. Rysbayuly

Keyword(s):

Frequency Domain ◽

Convective Heat ◽

Moisture Transfer ◽

Layered Media ◽

Heat And Moisture Transfer ◽

Transfer Equations ◽

Heat And Moisture ◽

Analytical Expressions

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Mathematical Models of Papermaking

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2001.6.1.15221 ◽

2001 ◽

Vol 6 (1) ◽

pp. 9-19 ◽

Cited By ~ 1

Author(s):

A. Buikis ◽

J. Cepitis ◽

H. Kalis ◽

A. Reinfelds ◽

A. Ancitis ◽

...

Keyword(s):

Mathematical Model ◽

Initial Value Problems ◽

Moisture Transfer ◽

Bound Water ◽

Drying Process ◽

Initial Value ◽

First Order ◽

Heat And Moisture ◽

The Mathematical Model ◽

The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations.

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