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.

1.
Y. A.
Ramazanov
,
V. I.
Kislykh
,
I. P.
Kosyuk
,
N. V.
Bakuleva
, and
V. V.
Shchurikhina
, “
Industrial production of vaccines using embryonic cells in gas-vortex gradient-less bioreactors
,” in
New Aspects of Biotechnology and Medicine
(
Nova Biomedical Books
,
2007
), pp.
87
91
.
2.
K. Y. S.
Liow
,
G. A.
Thouas
,
B. T.
Tan
,
M. C.
Thompson
, and
K.
Hourigan
, “
Modelling the transport of momentum and oxygen in an aerial-disk driven bioreactor used for animal tissue or cell culture
,”
IFMBE Proc.
23
,
1672
1675
(
2009
).
3.
K. Y. S.
Liow
,
B. T.
Tan
,
G. A.
Thouas
, and
M. C.
Thompson
, “
CFD modeling of the steady-state momentum and oxygen transport in a bioreactor that is driven by an aerial rotating disk
,”
Mod. Phys. Lett. B
23
(
2
),
121
(
2009
).
4.
B. R.
Sharifullin
,
S. G.
Skripkin
,
I. V.
Naumov
,
Z.
Zuo
,
B.
Li
, and
V. N.
Shtern
, “
Intense vortex motion in a two-phase bioreactor
,”
Water
15
(
1
),
94
(
2022
).
5.
D.
Lo Jacono
,
M.
Nazarinia
, and
M.
Brøns
, “
Experimental vortex breakdown topology in a cylinder with a free surface
,”
Phys. Fluids
21
(
11
),
111704
(
2009
).
6.
I. V.
Naumov
,
S. G.
Skripkin
,
A. Z.
Kvon
, and
V. N.
Shtern
, “
Changing interface conditions in a two-fluid rotating flow
,”
Phys. Fluids
35
(
3
),
031705
(
2023
).
7.
S.
Bashir
and
M.
Sajid
, “
Flow of two immiscible uniformly rotating couple stress fluid layers
,”
Phys. Fluids
34
(
6
),
062101
(
2022
).
8.
I. V.
Naumov
,
B. R.
Sharifullin
,
A. Y.
Kravtsova
, and
V. N.
Shtern
, “
Velocity jumps and the Moffatt eddy in two-fluid swirling flows
,”
Exp. Therm. Fluid Sci.
116
,
110116
(
2020
).
9.
C.
Li
,
J.
Huang
,
W.
Fu
,
G.
Song
,
Y.
Chang
, and
Z.
Song
, “
Internal vortex breakdowns with stair-step change in rotating flows
,”
Phys. Fluids
34
(
9
),
093613
(
2022
).
10.
M.
Sharma
and
A.
Sameen
, “
Synopsis of Vogel-Escudier flow
,”
Phys. Fluids
33
(
6
),
064105
(
2021
).
11.
J. C.
Tsai
,
C. Y.
Tao
,
Y. C.
Sun
,
C. Y.
Lai
,
K. H.
Huang
,
W. T.
Juan
, and
J. R.
Huang
, “
Vortex-induced morphology on a two-fluid interface and the transitions
,”
Phys. Rev. E
92
(
3
),
031002
(
2015
).
12.
I. V.
Naumov
,
B. R.
Sharifullin
,
M. A.
Tsoy
, and
V. N.
Shtern
, “
Dual vortex breakdown in a two-fluid confined flow
,”
Phys. Fluids
32
(
6
),
061706
(
2020
).
13.
I. V.
Naumov
,
S. G.
Skripkin
, and
V. N.
Shtern
, “
Counterflow slip in a two-fluid whirlpool
,”
Phys. Fluids
33
(
6
),
061705
(
2021
).
14.
I. V.
Naumov
,
M. A.
Herrada
,
B. R.
Sharifullin
, and
V. N.
Shtern
, “
Slip at the interface of a two-fluid swirling flow
,”
Phys. Fluids
30
(
7
),
074101
(
2018
).
15.
B. R.
Sharifullin
and
I. V.
Naumov
, “
Angular momentum transfer across the interface of two immiscible liquids
,”
Thermophys. Aeromech.
28
(
1
),
65
(
2021
).
You do not currently have access to this content.