Комп’ютерне моделювання концентрації домішкової речовини у багатофазному шарі з випадковими кульовими включеннями: Fìz.-mat. model. ìnf. tehnol. 2021, 31:78-91

• Date: 2021
• Main Authors: Chernukha, Olha, Chuchvara, Anastasiia
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2021
• Subjects: багатофазна стохастична структура; концентрація домішкової речовини; комп’ютерне моделювання; усереднення за ансамблем конфігурацій фаз
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/192
• Journal Title: Physico-mathematical modeling and informational technologies

The diffusion of an admixture substance in a multiphase layer with randomly disposed spherical inclusions was investigated. The solution of the initial contact-boundary value problem is obtained in the form of the integral Neumann series. Computer simulation was performed based on the obtained calculation formula. Main regularities of the distributions of the averaged admixture concentration in the layer depending on the values of the diffusion coefficients, density and volume fractions of inclusions were established. The influence of the number of phases of the porous body on the diffusion processes in a multiphase layer with a uniform distribution of spherical inclusions was determined. The dependence of the increase of the averaged concentration function on the characteristic radii of spherical inclusions was analyzed, in particular, it is shown that the behavior of this function does not depend on the ratios of the reduced diffusion coefficients. References Coutelieris, A. F., Delgado, J. M. P. Q. (2012). Transport Processes in Porous Media. Berlin: Springer. Van Kampen, N. G. (1992). Stochastic Processes in Chemistry and Physics. Norwell: Elsevier. Dietrich, P., Helmig, R., Sauter, M., Hötzl, H., Köngeter, J., Teutsch, G. (2005). Flow and Transport in Fractured Porous Media. Berlin: Springer-Verlag, 127-142. DOI doi.org/10.1007/b138453 Yong, Y., Lou, X., Li, S., Yang, C., Yin, X. (2014). Direct simulation of the influence of the pore structure on the diffusion process in porous media. Computers & Mathematics with Applications, 67(2), 412-423. DOI doi.org/10.1016/j.camwa.2013.08.032 Corwin, E. I., Clusel, M., Siemens,, O. N. (2010). Model for random packing of polydisperse frictionless. Soft Matter, 6, 2945-2959. DOI doi.org/10.1039/c000984a Hlushkou, V., Khirevich, S., Apanasovich, V. V., Tallarek, U. (2007). Pore-scale dispersion in electrokinetic flow through a random sphere packing. Analytical Chemistry, 79, 113-121. DOI doi.org/10.1021/ac061168r Bondareva, T. P. (2013). Kompyuternoe modelirovanie strukturyi sluchaynoy upakovki sistem sfericheskih chastits. Ekonomika. Informatika, 25, 78-85. Chaplia, Y., Chernukha, O. (2003). Three-dimensional diffusion in a multiphase body with randomly disposed inclusions of a spherical form. International Journal of Heat and Mass Transfer, 46, 3323-3328. DOI doi.org/10.1016/s0017-9310(03)00123-6 Chaplia, Ye. Ya., Chernukha, O. Yu. (2009). Fizyko-matematychne modeliuvannia dyfuziinykh protsesiv u vypadkovykh i rehuliarnykh strukturakh. Kyiv: Naukova dumka. Chernukha, O. Yu., Bilushchak, Yu. I., Chuchvara, A. Ye. (2016). Modeliuvannia dyfuziinykh protsesiv u stokhastychno neodnoridnykh strukturakh. Lviv: Rastr-7. Lyikov, A. V. (1978). Teoriya teploprovodnosti. – Moskva: Vyisshaya shkola. (2019). Modeliuvannia protsesiv masoperenosu v skladnykh merezhevykh strukturakh dlia vyznachennia optymalnykh parametriv keruvannia dynamichnymy rezhymamy. Zvit z NDR Tsentru matema- tychnoho modeliuvannia IPPMM im. Ya. S. Pidstryhacha NAN Ukrainy (2016–2018, № DR 0115U01883). Pianylo, Ya. D., Chernukha, O. Yu., Davydok, A. Ye. (2016). Zalezhnist povedinky userednenoho potoku masy u bahatosharovomu tili vid pokhybky vkhidnykh danykh. Fiz-mat. modeliuvannia ta informatsiini tekhnolohii, 22, 88-102.