519.6

Nanofiltration processes, numerical modeling, parallel computing, science-intensive technologies, different-sized nanoporous particles media.

In the paper, the technologies for the high-performance intellectual nanoporous filtration systems based on the mathematical model of the two-level transport «filtration-consolidation» in the system of nanopores in two intraparticle spaces, which includes two subspaces of different-sized nanoporous particles are developed.

1. Barenblatt G., Entov V., Ryzhik V. Theory of fluid flows through natural rocks. Dordrecht: Kluwer, 1990, 396 p.
2. Petryk M., Vorobiev E. Numerical and Analytical Modelling of Solid-Liquid Expression from Soft Plant Materials. AIChE J. Wiley USA. 2013. Vol. 59. Issue 12. P. 4762–4771.
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6. Mykhalyk D., Petryk M., Boyko I., Drohobytskiy Y, Kovbashyn V. Intellectual information technologies for the study of filtration in multidimensional nanoporous particles media. CEUR Workshop Proceedings. ITTAP`2022: 2nd International Workshop on Information Technologies: Theoretical and Applied Problems. 2022. P. 175–185.

1. Barenblatt G., Entov V., Ryzhik V. Theory of fluid flows through natural rocks. Dordrecht: Kluwer, 1990, 396 p.
2. Petryk M., Vorobiev E. Numerical and Analytical Modelling of Solid-Liquid Expression from Soft Plant Materials. AIChE J. Wiley USA. 2013. Vol. 59. Issue 12. P. 4762–4771.
3. Doetsch G. Handbuch der Laplace-Transformation: Band I: Theorie der Laplace-Transformation. Springer Basel AG.2013. 438 p.
4. Lenyuk M., Petryk M. Integral Fourier, Bessel transforms with spectral parameters in problems of mathematical modeling of mass transfer in heterogeneous media. Кyiv: Naukova Dumka, 2000. 360 p. [In Ukrainian]
5. Petryk M., Gancarczyk T., Khimich O. Methods of Mathematical Modeling and Identification of Complex Processes and Systems on the basis of High-performance Calculations. Scientific Publishing University of Bielsko-Biala. Bielsko-Biala, Poland), 2021. 195 p.
6. Mykhalyk D., Petryk M., Boyko I., Drohobytskiy Y, Kovbashyn V. Intellectual information technologies for the study of filtration in multidimensional nanoporous particles media. CEUR Workshop Proceedings. ITTAP`2022: 2nd International Workshop on Information Technologies: Theoretical and Applied Problems. 2022. P. 175–185.