Yelisieiev V.I., Lutsenko V.I., Sovit Yu.P., Heti K.V. Mass exchange in two-layer medium moving through the narrow cylindrical channel
- Details
- Parent Category: Geo-Technical Mechanics, 2023
- Category: Geo-Technical Mechanics, 2023, Issue 165
Geoteh. meh. 2023, 165, 36-44
https://doi.org/10.15407/geotm2023.165.036
MASS EXCHANGE IN TWO-LAYER MEDIUM MOVING THROUGH THE NARROW CYLINDRICAL CHANNEL
1Yelisieiev V.I., 1Lutsenko V.I., 2Sovit Yu.P., 2Heti K.V.
1M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, 2Oles Honchar Dnipro National University
UDC 532.7:534.1
Language: English
Abstract. This work further develops previous studies devoted to numerical modeling of diffuse mass transfer in narrow pore channels. The problem of diffusion in a two-layer liquid moving through narrow cylindrical channel, into which a neutral component, which does not interact with heterogeneous inclusions, diffuses, is considered. The dispersion carrier fluid moves close to the wal, while a reologically complicated two-phase medium occupies most of the channel. During the flow of a fine-dispersed concentrated suspension in a quasi-balanced condition, the reological properties of the medium were accepted as parameters of some homogenous liquid, which can be deemed an adequate approximation. This model can be used for some situations of flow in the chanal of fluid bodies which are capillary-porous and broken, such as those that contain muddy or clay inclusions. Similar mathematical models can be applied to paste sliding flows because of poor capillary fluid fixation. In this paper, two cases are considered. In the first scenario, a portion of the channel midsection is exceeded by the diffusing component. In the second, this component in the same location exits the channel. The non-stable problem is numerically solved before the creation of the stationary state. The installation procedure was monitored up to the fifth decimal digit. The resulting solution determines the concentration fields of the diffuse component. It is demonstrated that distribution of the diffuse component concentration in the working area is influenced by the rate of the medium speed; diffuse flow through the wall, and effective diffusion coefficient. In this work, the case is considered when there is no interaction between the diffusing component and the dispersed medium. However, the interaction of these components of the medium in soils, biological systems, and natural layers containing organic inclusions is of great interest. Therefore, accounting of adsorption properties of the dispersed medium in relation to the elements involved in mass exchange can be in the focus of future study. Taking into account large-scale metabolic processes, such as those in blood in the veins, is crucial in many practically significant circumstances.
Keywords: capillary, liquid, dispersed medium, diffusion, mass exchange.
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About the authors:
Yelisieiev Volodymyr Ivanovych, Candidate of Physical and Mathematical Sciences (Ph.D.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .
Lutsenko Vasyl Ivanovych, Candidate of Technical Sciences PhD (Tech.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .
Sovit Yurii Petrovych, Candidate of Physical and Mathematical Sciences (Ph.D.), Associate Professor of the Differential Equations Department, Faculty of Mechanics and Mathematics, Oles Honchar Dnipro National University, This email address is being protected from spambots. You need JavaScript enabled to view it. .
Heti Krystyna Vitaliivna, Associate Professor in Department of Aerohydromechanics and Energy-Mass Transfer, Oles Honchar Dnipro National University, Candidate of Technical Sciences Ph.D. (Tech.), This email address is being protected from spambots. You need JavaScript enabled to view it. .