Mathematical Model of the Pulsating Extraction Column
https://doi.org/10.56304/S2304487X21020061
Abstract
The process of countercurrent pulsation extraction in a column-type apparatus with nozzles has been mathematically simulated. The operating parameters of the extraction process in the liquid-liquid system have been analyzed. A set of factors that have a significant impact on both individual stages of the extraction process and the structure of the process as a whole have been considered. A diffusion model, which contains two critical parameters, the coefficient of volumetric mass transfer and the coefficient of longitudinal diffusion, has been used to describe the process of mass transfer in the liquid–liquid system. Because of the lack of reliable data on the quantitative values of these parameters for the considered design of the extractor, and the impossibility of determining them experimentally, an attempt has been made to obtain the necessary data by means of numerical studies. Using the integral characteristics of the extraction process, averaged over the entire volume of the column, and criterion dependences characterizing the hydrodynamic, thermal, and mass transfer conditions of extraction, regression dependences have been obtained for the operating parameters of the extraction process in the form of functions of the input control factors. Taking into account the information received, a recursive computational scheme has been organized to determine the main output parameters of the extraction process. The results of calculations based on the created mathematical model can be used in practical work to optimize the operating modes of existing devices of this type.
About the Authors
S. A. Karpov
Seversk Technological Institute, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
636070
Tomskaya oblast
Seversk
V. N. Brendakov
Seversk Technological Institute, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
636070
Tomskaya oblast
Seversk
K. A. Ivanov
Seversk Technological Institute, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
636070
Tomskaya oblast
Seversk
A. A. Zhuravlev
National Research Tomsk State University
Russian Federation
Russian Federation
634036
Tomsk
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Review
For citations:
Karpov S.A., Brendakov V.N., Ivanov K.A., Zhuravlev A.A. Mathematical Model of the Pulsating Extraction Column. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2021;10(2):168-175. (In Russ.) https://doi.org/10.56304/S2304487X21020061
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