In the course of the search for a flow pattern optimal for culture growth in vortex bioreactors, our experiments discovered striking flow patterns that existing theoretical models cannot explain. Three immiscible liquids fill a vertical open cylindrical container whose sidewall is still, while the bottom disk rotates driving a fluid motion. The centrifugal force pushes the lower liquid (L, aqueous glycerol) from the axis to the periphery near the bottom, creating its toroid circulation that in turn drives middle liquid (M, sunflower oil) and upper liquid (U, alcoholic glycerin) circulations. With increasing rotation, counterflows develop near both interfaces LM and MU in upper fluids: the liquids move toward (away from) the axis below (above) the interface that seems paradoxical. Then, unusual topological transformations occur again in the middle liquid flow caused by competition between effects of radial friction and centrifugal forces. Near cylinder boundary at interface MU, new reverse circulation zone developed where the radial velocity became zero and then change sign. These counterintuitive results wait for their theoretical explanation and formulation of new contact conditions at the LM and MU interfaces.
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June 2024
Letter|
June 13 2024
Topological transformations of meridional motion in a three-liquid vortex Available to Purchase
Igor V. Naumov
;
Igor V. Naumov
a)
(Conceptualization, Methodology, Project administration, Supervision, Writing – original draft)
1
Novosibirsk State University
, 1, Pirogova str., Novosibirsk 630090, Russia
2
Kutateladze Institute of Thermophysics SB RAS
, 630090 Novosibirsk, Russia
a)Author to whom correspondence should be addressed: [email protected]
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Maria V. Tintulova
;
Maria V. Tintulova
(Funding acquisition, Investigation, Visualization)
1
Novosibirsk State University
, 1, Pirogova str., Novosibirsk 630090, Russia
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Bulat R. Sharifullin
;
Bulat R. Sharifullin
(Data curation, Investigation, Validation, Visualization)
1
Novosibirsk State University
, 1, Pirogova str., Novosibirsk 630090, Russia
2
Kutateladze Institute of Thermophysics SB RAS
, 630090 Novosibirsk, Russia
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Vladimir N. Shtern
Vladimir N. Shtern
(Conceptualization, Supervision, Writing – original draft)
1
Novosibirsk State University
, 1, Pirogova str., Novosibirsk 630090, Russia
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Igor V. Naumov
1,2,a)
Maria V. Tintulova
1
Bulat R. Sharifullin
1,2
Vladimir N. Shtern
1
1
Novosibirsk State University
, 1, Pirogova str., Novosibirsk 630090, Russia
2
Kutateladze Institute of Thermophysics SB RAS
, 630090 Novosibirsk, Russia
a)Author to whom correspondence should be addressed: [email protected]
Physics of Fluids 36, 061703 (2024)
Article history
Received:
May 13 2024
Accepted:
May 29 2024
Citation
Igor V. Naumov, Maria V. Tintulova, Bulat R. Sharifullin, Vladimir N. Shtern; Topological transformations of meridional motion in a three-liquid vortex. Physics of Fluids 1 June 2024; 36 (6): 061703. https://doi.org/10.1063/5.0218654
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