Yelisieiev V.I., Lutsenko V.I., Sovit Yu.P. Diffusion mass transfer at low-frequency liquid oscillations in capillaries

Details

Parent Category: Geo-Technical Mechanics, 2022

Category: Geo-Technical Mechanics, 2022, № 161

Geoteh. meh. 2022, 161, 54-61

https://doi.org/10.15407/geotm2022.161.054

 

DIFFUSION MASS TRANSFER AT LOW-FREQUENCY LIQUID OSCILLATIONS IN CAPILLARIES

¹Yelisieiev V.I., ¹Lutsenko V.I., ²Sovit Yu.P.

¹Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, ²Oles Honchar Dnipro National University

UDC 532.7:534.1

Language: English

Abstract. The study is devoted to the numerical modeling of diffusion mass transfer in a narrow pore channel with small low-frequency oscillations of a liquid in a laminar flow regime. This study is an elaboration of the authors' previous research. At the same time, the previously used tight constraint imposed on the channel width is weakened. The considered problem is a planar one that rather simplifies the solution without changing the qualitative parameters of the process. A solution of the dynamic problem was obtained, which formed the basis of the numerical analysis of the diffusion problem. An important feature of this solution is that for wider channels the velocity and pressure oscillations were shifted relative to each other by a certain phase angle. In addition, the oscillation frequency had a significant impact on the velocity profiles and velocity amplitudes. Contrary to the previously considered simplified model, it was found that the oscillation frequency rise at a constant pressure gradient leads to decreasing of the velocity and, accordingly, to a certain decreasing of the mass transfer intensity. At the same time, as the channel width increases, the influence of the frequency change becomes more noticeable. The calculations performed have shown that for the problem resolved in this study some parameters could be considered as independent variables during the oscillation process of the liquid columns. Increasing of the pressure gradient for a constant frequency leads to an increase of the mass transfer intensity. Expressions obtained show that increasing of the pressure gradient leads to increasing of the amplitude for the velocity oscillations. In addition, revision of the mathematical model has shown that increasing of the frequency for a constant pressure gradient leads to decreasing of velocity and, consequently, to decreasing of the mass transfer rate. Moreover, increasing of the channel width makes an influence of the frequency change stronger.
Keywords: capillary, liquid, diffusion, mass transfer, vibrations.

 

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Yelisieiev Volodymyr Ivanovych, Candidate of Physical and Mathematical Sciences (Ph.D.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM 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 (Ph.D.), Senior Researcher, Senior Researcher in Department of Mine Energy Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM 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.

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