Mathematical Modelling of Non-Isothermal Moisture Transfer and Rheological Behavior in Cappilary-Porous Materials with Fractal Structure During Drying | Zendy

Yaroslav Sokolowskyi | Zendy; Volodymyr Shymanskyi | Zendy

Open Access

Mathematical Modelling of Non-Isothermal Moisture Transfer and Rheological Behavior in Cappilary-Porous Materials with Fractal Structure During Drying

Author(s) -

Yaroslav Sokolowskyi,

Volodymyr Shymanskyi

Publication year - 2014

Publication title -

computer and information science

Language(s) - English

Resource type - Journals

eISSN - 1913-8997

pISSN - 1913-8989

DOI - 10.5539/cis.v7n4p111

Subject(s) - rheology , fractal , computer science , isothermal process , process (computing) , mathematical model , porous medium , fractional calculus , mechanics , moisture , porosity , materials science , humidity , process engineering , thermodynamics , mathematics , composite material , mathematical analysis , physics , statistics , operating system , engineering

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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