Mathematical and computer modelling of interconnected processes of moisture- and heat mass transfer in non-saturated soil layer

Fìz.-mat. model. ìnf. tehnol. 2021, 32:75-79

Authors

  • Anatoliy Vlasyuk The National University of Ostroh Academy
  • Ihor Ilkiv Rivne State University for the Humanities, st. St. Bandera, 12, Rivne
  • Tetiana Tsvietkova NATIONAL UNIVERSITY OF WATER AND ENVIRONMENTAL ENGINEERING, Ukraine, 33028, Rivne city, 11 Soborna St.

DOI:

https://doi.org/10.15407/fmmit2021.32.075

Keywords:

moisture transfer, mass transfer, heat transfer, head, moisture, concentration

Abstract

The paper presents the mathematical modelling of joint processes of moisture transfer and mass transfer in a non-saturated medium taking into account Osmos phenomena under non-isothermic conditions. Numeric calculations of corresponding boundary tasks were found by a method of finite differences using non-evident and monotonous differential schemes adapted for solving non-linear differential equations. As a result of program implementation of the constructed calculation algorithm, the distribution was found of salt solutions concentration under joint transfers and the impact of heat transfer was determined upon distributions of moisture heads and salts concentration in a soil mass. Obtained results may be used to determine moisture heads and salts solutions spreading in soils which is an applied task.

References
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  4. Vlasyuk, A. P., Tsvetkova, T. P. (2015). “Mathematical Simulation of the Transport of Salt in the Case of Filtration and Moisture Transfer in Saturated-Unsaturated Soils in a Moistening Regime”. Journal of Engineering Physics and Thermophysics. Springer US, New York, 5, 1062-1073.
    DOI doi.org/10.1007/s10891-015-1285-4

Published

2021-07-07

How to Cite

Vlasyuk, A., Ilkiv, I., & Tsvietkova, T. (2021). Mathematical and computer modelling of interconnected processes of moisture- and heat mass transfer in non-saturated soil layer: Fìz.-mat. model. ìnf. tehnol. 2021, 32:75-79. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (32), 75–79. https://doi.org/10.15407/fmmit2021.32.075