Abstract
A numerical simulation of convective instability of a binary fluid with negative Soret effect in a cylindrical thermogravitational column is performed. The general problem statement, including equations of motion and heat/mass transfer with boundary conditions, are written in cylindrical coordinates. This is implemented in order to take into account the impact of the column geometry on the separation process and stability of the convective flow. The calculations for two cylindrical columns are performed in Ansys Fluent 14.5. The used parameters and values of applied temperature differences between the walls correspond to the reported experimental data. The considered binary fluid is an ethanol–water mixture at a concentration ratio of 0.2204/0.7796. At such a composition the mixture exhibits a negative Soret effect (the lighter component, ethanol, is enriched in the cold region). The results of simulation show that the convective flow in the column with a smaller gap between the walls is unstable for all applied temperature differences, while it remains stable in the column with a larger gap.
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 18-41-243005
Award Identifier / Grant number: 075-02-2020-1631
Funding source: Eusko Jaurlaritza
Award Identifier / Grant number: KK-2020/00099
Funding statement: The reported study was funded by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project No 18-41-243005. The work was also supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No 075-02-2020-1631). The Basque Government provided support according to project MMMfavIN (KK-2020/00099).
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