We report the dynamical behaviour of aqueous ferrofluid droplets (FFDs) of different sizes and concentrations at the interface of coflowing immiscible oils in a microchannel in the presence of the magnetic field. We show that the migration and sorting phenomena are governed by the interplay between magnetic force , non-inertial lift force , and interfacial tension force . Depending on the force ratios, namely, the lift force ratio ] and magnetic force ratio [], three different regimes are identified. The results also reveal that the FFD trajectory and migration length () depend on the net force ratio and magnet location . Finally, size-based sorting of FFD is demonstrated, which shows a remarkable improvement in terms of the size range and resolution compared to when the magnetic field is not present.
References
1.
W.
Zhao
, R.
Cheng
, B. D.
Jenkins
, T.
Zhu
, N. E.
Okonkwo
, C. E.
Jones
, M. B.
Davis
, S. K.
Kavuri
, Z.
Hao
, C.
Schroeder
, and L.
Mao
, Lab Chip
17
, 3097
–3111
(2017
).2.
Y.
Zhang
, S.
Park
, K.
Liu
, J.
Tsuan
, S.
Yang
, and T.-H.
Wang
, Lab Chip
11
, 398
(2011
).3.
H.
Song
, D. L.
Chen
, and R. F.
Ismagilov
, Angew. Chem., Int. Ed.
45
, 7336
(2006
).4.
B.
Teste
, N.
Jamond
, D.
Ferraro
, J. L.
Viovy
, and L.
Malaquin
, Microfluid. Nanofluid.
19
, 141
(2015
).5.
N. T.
Nguyen
, G.
Zhu
, Y. C.
Chua
, V. N.
Phan
, and S. H.
Tan
, Langmuir
26
, 12553
(2010
).6.
A.
Egatz-Gómez
, S.
Melle
, A. A.
García
, S. A.
Lindsay
, M.
Márquez
, P.
Domínguez-García
, M. A.
Rubio
, S. T.
Picraux
, J. L.
Taraci
, T.
Clement
, D.
Yang
, M. A.
Hayes
, and D.
Gust
, Appl. Phys. Lett.
89
, 034106
(2006
).7.
U.
Banerjee
and A.
Sen
, Soft Matter
14
, 2915
–2922
(2018
).8.
P.
Irajizad
, N.
Farokhnia
, and H.
Ghasemi
, Appl. Phys. Lett.
107
, 191601
(2015
).9.
P. Y.
Chiou
, S. Y.
Park
, and M. C.
Wu
, Appl. Phys. Lett.
93
, 221110
(2008
).10.
D.
Jiang
and S.-Y.
Park
, Lab Chip
16
, 1831
(2016
).11.
M.
Jönsson-Niedziółka
, F.
Lapierre
, Y.
Coffinier
, S. J.
Parry
, F.
Zoueshtiagh
, T.
Foat
, V.
Thomy
, and R.
Boukherroub
, Lab Chip
11
, 490
(2011
).12.
J.
Lee
, H.
Moon
, J.
Fowler
, T.
Schoellhammer
, and C. J.
Kim
, Sens. Actuators, A
95
, 259
(2002
).13.
G.
Katsikis
, A.
Bréant
, and M.
Prakash
, Soft Matter
14
, 681
–692
(2017
).14.
M. H.
Alheshibri
, N. G.
Rogers
, A. D.
Sommers
, and K. F.
Eid
, Appl. Phys. Lett.
102
, 174103
(2013
).15.
Y.
Zheng
, J.
Cheng
, C.
Zhou
, H.
Xing
, X.
Wen
, P.
Pi
, and S.
Xu
, Langmuir
33
, 4172
(2017
).16.
B.-J.
Jin
, Y. W.
Kim
, Y.
Lee
, and J. Y.
Yoo
, J. Micromech. Microeng.
20
, 035003
(2010
).17.
P.
Sajeesh
, M.
Doble
, and A. K.
Sen
, Biomicrofluidics
8
, 054112
(2014
).18.
A.
Ray
, V. B.
Varma
, P. J.
Jayaneel
, N. M.
Sudharsan
, Z. P.
Wang
, and R. V.
Ramanujan
, Sens. Actuators, B
242
, 760
(2017
).19.
S.
Damodara
and A. K.
Sen
, Sens. Actuators, B
239
, 816
(2017
).20.
Q.
Chen
, D.
Li
, J.
Lin
, M.
Wang
, and X.
Xuan
, Anal. Chem.
89
, 6915
(2017
).21.
T.
Zhu
, R.
Cheng
, S. A.
Lee
, E.
Rajaraman
, M. A.
Eiteman
, T. D.
Querec
, E. R.
Unger
, and L.
Mao
, Microfluid. Nanofluid.
13
, 645
(2012
).22.
C. Y.
Chen
and Z. Y.
Cheng
, Phys. Fluids
20
, 054105
(2008
).23.
Y.
Wu
, T.
Fu
, Y.
Ma
, and H. Z.
Li
, Microfluid. Nanofluid.
18
, 19
(2015
).24.
Y.
Wu
, T.
Fu
, Y.
Ma
, and H. Z.
Li
, Soft Matter
9
, 9792
(2013
).25.
T. S.
Sheu
, Y. T.
Chen
, F. L.
Lih
, and J. M.
Miao
, Phys. Procedia
9
, 147
(2010
).26.
Q.
Yan
, S.
Xuan
, X.
Ruan
, J.
Wu
, and X.
Gong
, Microfluid. Nanofluid.
19
, 1377
(2015
).27.
V. B.
Varma
, A.
Ray
, Z.
Wang
, Z.
Wang
, R.
Wu
, P. J.
Jayaneel
, N. M.
Sudharsan
, and R. V.
Ramanujan
, IEEE Magn. Lett.
7
, 2105305
(2016
).28.
K. S.
Jayaprakash
, U.
Banerjee
, and A. K.
Sen
, Langmuir
32
, 2136
(2016
).29.
A. C.
DeVoria
and K.
Mohseni
, Phys. Fluids
27
, 012002
(2015
).30.
M.
Manga
and H. A.
Stone
, J. Fluid Mech.
287
, 279
(1995
).31.
M.
Abkarian
, C.
Lartigue
, and A.
Viallat
, Phys. Rev. Lett.
88
, 068103
(2002
).32.
G.
Coupier
, B.
Kaoui
, T.
Podgorski
, and C.
Misbah
, Phys. Fluids
20
, 111702
(2008
).33.
Y.
Couder
, E.
Fort
, C. H.
Gautier
, and A.
Boudaoud
, Phys. Rev. Lett.
94
, 177801
(2005
).34.
K.
Zhang
, Q.
Liang
, S.
Ma
, X.
Mu
, P.
Hu
, Y.
Wang
, and G.
Luo
, Lab Chip
9
, 2992
(2009
).35.
N.
Pamme
and A.
Manz
, Anal. Chem.
76
, 7250
(2004
).36.
B.
Gol
, F. J.
Tovar-Lopez
, M. E.
Kurdzinski
, S.-Y.
Tang
, P.
Petersen
, A.
Mitchell
, and K.
Khoshmanesh
, Lab Chip
15
, 2476
(2015
).© 2018 Author(s).
2018
Author(s)
You do not currently have access to this content.
