The positional stability of acoustically levitated droplets in air and the settling time of droplet positions on loading are important for precision applications of acoustic levitation. We therefore study their dependence on ultrasound pressure for droplets with diameters 0.01–0.2 times the acoustic wavelength in a single-axis acoustic levitator operating at 39 kHz. We find that the observed resonance frequencies agree well with theory. However, the damping coefficients of the oscillations exhibit large anisotropy, and their dependence on the droplet size deviates greatly from the behavior expected from the Stokes coefficient. These results suggest that acoustic streaming plays an important role in the motion of acoustically levitated droplets.

1.
S.
Tsujino
and
T.
Tomizaki
,
Sci. Rep.
6
,
25558
(
2016
).
2.
T.
Tomizaki
,
A.
Shinoda
, and
S.
Tsujino
,
AIP Conf. Proc.
2054
,
060072
(
2019
).
3.
S.
Tsujino
,
A.
Shinoda
, and
T.
Tomizaki
,
Appl. Phys. Lett.
114
,
213702
(
2019
).
4.
L. V.
King
,
Proc. R. Soc. London, Ser. A
147
,
212
(
1934
).
5.
L. P.
Gorkov
,
Sov. Phys. Dokl.
6
,
773
(
1962
).
6.
P. S.
Larsen
and
J.
Jensen
,
Int. J. Heat Mass Transfer
21
,
511
(
1978
).
7.
M.
Seaver
,
A.
Galloway
, and
T. J.
Manuccia
,
Rev. Sci. Instrum.
60
,
3452
(
1989
).
8.
M. A. H.
Weiser
and
R. E.
Apfel
,
J. Acoust. Soc. Am.
71
,
1261
(
1982
).
9.
A.
Yarin
,
G.
Brenn
,
O.
Kastner
,
D.
Rensink
, and
C.
Tropea
,
J. Fluid Mech.
399
,
151
(
1999
).
10.
E. H.
Trinh
,
P. L.
Marston
, and
J. L.
Robey
,
J. Colloid Interface Sci.
124
,
95
(
1988
).
11.
Y. J.
,
W. J.
Xie
, and
B.
Wei
,
Appl. Phys. Lett.
87
,
184107
(
2005
).
12.
D.
Foresti
,
M.
Nabaci
,
M.
Klingauf
,
A.
Ferrari
, and
D.
Poulikakos
,
Proc. Natl. Acad. Sci. U. S. A.
110
,
12549
(
2013
).
13.
A.
Watanabe
,
K.
Hasegawa
, and
Y.
Abe
,
Sci. Rep.
8
,
10221
(
2018
).
14.
S.
Santesson
and
S.
Nilsson
,
Anal. Bioanal. Chem.
378
,
1704
(
2004
).
15.
J.
Leiterer
,
F.
Delißen
,
F.
Emmerling
,
A. F.
Thünemann
, and
U.
Panne
,
Anal. Bioanal. Chem.
391
,
1221
(
2008
).
16.
R.
Tuckermann
,
L.
Puskar
,
M.
Zavabeti
,
R.
Sekine
, and
D.
McNaughton
,
Anal. Bioanal. Chem.
394
,
1433
(
2009
).
17.
R. J. K.
Weber
,
C. J.
Benmore
,
S. K.
Tumber
,
A. N.
Tailor
,
C. A.
Rey
,
L. S.
Taylor
, and
S. R.
Byrn
,
Eur. Biophys. J.
41
,
397
(
2012
).
18.
A.
Scheeline
and
R. L.
Behrens
,
Biophys. Chem.
165–166
,
1
(
2012
).
19.
T.
Vasileiou
,
D.
Foresti
,
A.
Bayram
,
D.
Poulikakos
, and
A.
Ferrari
,
Sci. Rep.
6
,
20023
(
2016
).
20.
E. H.
Trinh
,
Rev. Sci. Instrum.
56
,
2059
(
1985
).
21.
T.
Fushimi
,
T. L.
Hill
,
A.
Marzo
, and
B. W.
Drinkwater
,
Appl. Phys. Lett.
113
,
034102
(
2018
).
22.
D.
Foresti
,
M.
Nabavi
, and
D.
Poulikakos
,
J. Fluid Mech.
709
,
581
(
2012
).
23.
M. A. B.
Andrade
,
S.
Polychronopoulos
,
G.
Memoli
, and
A.
Marzo
,
AIP Adv.
9
,
035020
(
2019
).
24.
Z. Y.
Hong
,
J. F.
Yin
,
W.
Zhai
,
N.
Yan
,
W. L.
Wang
,
J.
Zhang
, and
B. W.
Drinkwater
,
Sci. Rep.
7
,
7093
(
2017
).
25.
D. L.
Geng
,
W. J.
Xie
,
N.
Yan
, and
B.
Wei
,
Appl. Phys. Lett.
105
,
104101
(
2014
).
26.
L. D.
Landau
and
E. M.
Lifshitz
,
Fluid Mechanics
(
Pergamon
,
Oxford
,
1987
), p.
61
.
27.
P. J.
Holmes
and
D. A.
Rand
,
J. Sound Vib.
44
,
237
(
1976
).
28.
G. S.
Settles
,
Schlieren Shadow Graph Techniques: Visualizing Phenomena in Transparent Media
(
Springer
,
Berlin
,
2001
), p.
25
.
29.
V. N.
Bindal
,
T. K.
Saksena
,
S. K.
Jain
, and
G.
Singh
,
Appl. Acoust.
17
,
125
(
1984
).
30.
L.
Rayleigh
,
Proc. R. Soc. London, Ser. A
29
,
71
(
1879
).
32.
N.
Lecoq
,
F.
Feuillebois
,
N.
Anthore
,
R.
Anthore
,
F.
Bostel
, and
C.
Petipas
,
Phys. Fluids A
5
,
3
(
1993
).
33.
J.
Rudnick
and
M.
Barmatz
,
J. Acoust. Soc. Am.
87
,
81
(
1990
).
34.
S. M.
Hagsater
,
T. G.
Jensen
,
H.
Bruus
, and
J. P.
Kutter
,
Lab Chip
7
,
1336
(
2007
).
35.
K.
Hasegawa
,
Y.
Abe
, and
A.
Goda
,
NPJ Microgravity
2
,
16004
(
2016
).
36.
H.
Schlichting
,
Phys. Z.
33
,
327
(
1932
).
37.
E. H.
Trinh
and
J. L.
Robey
,
Phys. Fluids
6
,
3567
(
1994
).
38.
N.
Riley
, in
Encyclopedia of Acoustics
, edited by
M. J.
Crocker
(
Wiley
,
Hoboken, NJ
,
1997
), Vol.
1
, p.
321
.
39.
W. L. M.
Nyborg
, in
Physical Acoustics
, edited by
W. P.
Mason
(
Academic Press
,
Cambridge, MA
,
1965
), Vol.
2B
, Chap. 11, p.
265
.
40.
S. D.
Danilov
and
M. A.
Mironov
,
J. Acoust. Soc. Am.
107
,
143
(
2000
).
41.
M.
Settnes
and
H.
Bruus
,
Phys. Rev. E
85
,
016327
(
2012
).
42.
J. T.
Karlsen
and
H.
Bruus
,
Phys. Rev. E
92
,
043010
(
2015
).
43.
R. E.
Challis
,
M. J. W.
Povey
,
M. L.
Mather
, and
A. K.
Holmes
,
Rep. Prog. Phys.
68
,
1541
(
2005
).
44.
H.
Lamb
,
Hydrodynamics
, 6th ed. (
Dover
,
New York
,
1945
), p.
659
.
45.
R. J.
Urick
,
J. Acoust. Soc. Am.
20
,
283
(
1948
).
46.
J. T.
Karlsen
,
W.
Qiu
,
P.
Augustsson
, and
H.
Bruus
,
Phys. Rev. Lett.
120
,
054501
(
2018
).

Supplementary Material

You do not currently have access to this content.