Математичне і комп’ютерне моделювання взаємозв’язаних процесів волого- і тепломасоперенесення в ненасиченому шарі ґрунту: Fìz.-mat. model. ìnf. tehnol. 2021, 32:75-79

• Date: 2021
• Main Authors: Vlasyuk, Anatoliy, Ilkiv, Ihor, Tsvietkova, Tetiana
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2021
• Subjects: вологоперенесення; масоперенесення; теплоперенесення; напір; волога; концентрація
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/163
• Journal Title: Physico-mathematical modeling and informational technologies

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 Sergienko, I. V., Skopetskii, V. V., Deineka, V. S. (1991). Matematicheskoe modelirovanie i issledovanie protsessov v neodnorodnyih sredah [Mathematical Modeling and Investigation of Processes in Inhomogeneous Media], Naukova dumka, Kiev, Ukraine. Lyashko, I. I., Demchenko, L. I., Mistetskii, G. E. (1991). Chislennoe reshenie zadach teplo- i massoperenosa v poristyih sredah [Numerical Solution of Problems of Heat and Mass Transfer in Porous Media], Naukova dumka, Kiev, Ukraine. Vlasyuk, A. P., Ostapchuk, O. P., Stepanchenko, О. М. (2005). “Monotonna riznytseva skhema dlia neliniinoho odnovymirnoho rivniannia parabolichnoho typu, shcho mistyt pershu pokhidnu”. Visnyk Kyivskoho universytetu. Seriia: fiz.-mat. nauky, 3, 188-197. 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