Methods of heat and mass transfer theory for modeling raw arbolite blocks drying processes

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Abstract

In the context of the global transition to the circular economy principles, arbolite as a composite material with a high content of secondary organic resources is of particular importance. However, the arbolite widespread usage is hindered by the insufficient study of non-stationary heat and mass transfer processes during the raw blocks drying, which leads to structural defects formation and product quality decrease. The purpose of this work is to develop a mathematical model of moisture transfer in arbolite products for three drying schemes: on the permeable, impermeable, and partially permeable base. Based on the nonlinear diffusion equation for capillary-porous media, an analytical solution of the non-stationary mass conductivity problem was obtained for an uneven initial moisture distribution and second-kind boundary conditions using the Fourier and Kirpichev dimensionless criteria. The microprocess method allowed for the consideration of the mass flows temporal non-stationarity at the computational domain boundaries with an approximation error of no more than 3–5%. The modeling showed that drying on the impermeable base forms the asymmetric moisture profile with a maximum in the bottom zone, increasing the shrinkage defects risk, while the partially permeable flooring scheme reduces the drying time by 25–30% with maintaining structural homogeneity. The proposed model provides a basis for optimizing thermal treatment modes and developing a digital twin for the production of arbolite products.

About the authors

S. V. Fedosov

National Research Moscow State University of Civil Engineering; Research Institute of Building Physics of the Russian Academy of Architecture and Construction Sciences

Author for correspondence.
Email: fedosov-academic53@mail.ru

Doctor of Sciences (Engineering) 

Russian Federation, 26, Yaroslavskoe Highway, Moscow, 129337; 21, Lokomotivniy Driveway, Moscow, 127238

I. V. Krasilnikov

Research Institute of Building Physics of the Russian Academy of Architecture and Construction Sciences; Ivanovo State Polytechnic University; Federal State Budget Educational Establishment of Higher Education «Ivanovo Fire Rescue Academy of State Firefighting Service of Ministry of Russian Federation for Civil Defense, Emergencies and Elimination of Consequences of Natural Disasters»

Email: igkrasilnikov@mail.ru

Doctor of Sciences (Engineering) 

Russian Federation, 21, Lokomotivniy Driveway, Moscow, 127238; 21, Sheremetevskiy Avenue, Ivanovo, 153000; 33, Stroiteley Avenue, Ivanovo, 153040

V. E. Rumyantseva

Research Institute of Building Physics of the Russian Academy of Architecture and Construction Sciences; Ivanovo State Polytechnic University; Federal State Budget Educational Establishment of Higher Education «Ivanovo Fire Rescue Academy of State Firefighting Service of Ministry of Russian Federation for Civil Defense, Emergencies and Elimination of Consequences of Natural Disasters»

Email: varrym@gmail.com

Doctor of Sciences (Engineering) 

Russian Federation, 21, Lokomotivniy Driveway, Moscow, 127238; 21, Sheremetevskiy Avenue, Ivanovo, 153000; 33, Stroiteley Avenue, Ivanovo, 153040

I. A. Krasilnikova

Vladimir State University named after Alexander and Nikolai Stoletovs

Email: irinanebukina@rambler.ru

Candidate of Sciences (Engineering) 

Russian Federation, 87, Gorky Street, Vladimir, 600000

M. A. Korinchuk

Ivanovo State Polytechnic University

Email: m1na47-74@mail.ru

Engineer 

Russian Federation, 21, Sheremetevskiy Avenue, Ivanovo, 153000

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