High-performance methods for modeling and identification of two-level filtration transport in a heterogeneous media of nanoporous particles

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Published: 17-12-2024
DOI: https://doi.org/10.33108/visnyk_tntu2024.04.059
Keywords:
Two-level filtration, mass transfer, nanoporous particles, integral transformations, high-performance computing, parametric identification

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Mykhaylo Petryk
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Dmytro Mykhalyk
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Vitalii Chyz
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Vasil Kovbashyn
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Stepan Balaban
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine
Mykola Vasyliv
Ternopil Ivan Puluj National Technical University, Ternopil, Ukraine

Abstract

The paper presents formulations and mathematically justified solutions of nonlinear and linearized models of the «filtration-consolidation» type in heterogeneous multicomponent media saturated with nanoporous particle filtrate, described by boundary value problems for systems of integro-differential equations of the second order. Proposed formulations consider equilibrium mechanisms, the system of multi-interface interactions, and a two-level transport system micro- and nanopores of particles and interparticle space. The direct and conjugate problems of parametric identification has been defined, the solutions were substantiated and obtained, and analytical expressions of the gradients of functionals were obtained to restore the studied identification parameters

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Vol. 116 No. 4 (2024)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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