Abstract
The interface between silicone oil and saline layers in a three-dimensional model of the eye chamber was studied under different eye-like saccadic motions in order to determine the stability of the interface and propensity for emulsification in the bulk. The effect of level of fill, saccade amplitude, angular velocity, latency time, and orientation were investigated experimentally in spherical flasks with internal diameters 10, 28, and 40 mm, as well as a 28 mm diameter flask with an indent replicating the lens or the presence of a buckle. The deformation of the interface was quantified in terms of the change in its length in two-dimensional images. The deformation increased with Weber number, We, and was roughly proportional to We for We > 1. The presence of the lens gave rise to higher deformation near this feature. In all cases emulsification was not observed in either bulk fluid. The velocity profile in the spherical configuration was mapped using particle imaging velocimetry and is compared with an analytical solution and a short computational fluid dynamics simulation study. These confirm that the saccadic motion induces flow near the wall in the saline layer and significantly further into the chamber in the silicone oil. Surfactants soluble in the aqueous and oil phases reduced the interfacial tension, increasing deformation but did not lead to emulsification in the bulk.
Issue Section:
Research Papers
References
1.
Wong
,
D.
,
Chan
,
Y. K.
,
Bek
,
T.
,
Wilson
,
I.
, and
Stefánsson
,
E.
, 2018
, “
Intraocular Currents, Bernoulli's Principle and Non-Drainage Scleral Buckling for Rhegmatogenous Retinal Detachment
,” Eye
,
32
(2
), pp. 213
–221
.10.1038/eye.2017.3122.
Toklu
,
Y.
,
Cakmak
,
H. B.
,
Ergun
,
Ş. B.
,
Yorgun
,
M. A.
, and
Simsek
,
Ş.
, 2012
, “
Time Course of Silicone Oil Emulsification
,” Retina
,
32
(10
), pp. 2039
–2044
.10.1097/IAE.0b013e3182561f983.
Hu
,
C. L.
, and
Peng
,
K. L.
, 2018
, “
Removal of Silicone Oil Droplets Adhering to the Posterior Surface of an Intraocular Lens (IOL)
,” Int. Med. Case Rep. J.
,
11
, pp. 157
–159
.10.2147/IMCRJ.S1677224.
Sharma
,
Y.
,
Sudan
,
R.
, and
Gaur
,
A.
, 2003
, “
Droplets on Posterior Surface of Intraocular Lens in Silicone Oil Filled Eye
,” Ind. J. Ophthalmol.
,
51
(2
), pp. 178
–180
.https://journals.lww.com/ijo/Fulltext/2003/51020/Droplets_on_Posterior_Surface_of_Intraocular_Lens.11.aspx5.
Chan
,
Y. K.
,
Cheung
,
N.
,
Chan
,
W. S. C.
, and
Wong
,
D.
, 2015
, “
Quantifying Silicone Oil Emulsification in Patients: Are we Only Seeing the Tip of the Iceberg?
,” Graefe's Arch. Clin. Exp. Ophthalmol.
,
253
(10
), pp. 1671
–1675
.10.1007/s00417-014-2866-16.
Ichhpujani
,
P.
,
Jindal
,
A.
, and
Jay Katz
,
L.
, 2009
, “
Silicone Oil Induced Glaucoma: A Review
,” Graefe's Arch. Clin. Exp. Ophthalmol.
,
247
(12
), pp. 1585
–1593
.10.1007/s00417-009-1155-x7.
Caramoy
,
A.
,
Schröder
,
S.
,
Fauser
,
S.
, and
Kirchhof
,
B.
, 2010
, “
In Vitro Emulsification Assessment of New Silicone Oils
,” Br. J. Ophthalmol.
,
94
(4
), pp. 509
–512
.10.1136/bjo.2009.1708528.
Williams
,
R. L.
,
Day
,
M.
,
Garvey
,
M. J.
,
English
,
R.
, and
Wong
,
D.
, 2010
, “
Increasing the Extensional Viscosity of Silicone Oil Reduces the Tendency for Emulsification
,” Retina
,
30
(2
), pp. 300
–304
.10.1097/IAE.0b013e3181babe0c9.
Isakova
,
K.
,
Pralits
,
J. O.
,
Repetto
,
R.
, and
Romano
,
M. R.
, 2014
, “
A Model for the Linear Stability of the Interface Between Aqueous Humor and Vitreous Substitutes After Vitreoretinal Surgery
,” Phys. Fluids
,
26
(12
), pp. 124101
–124113
.10.1063/1.490216310.
Bonfiglio
,
A.
,
Lagazzo
,
A.
,
Repetto
,
R.
, and
Stocchino
,
A.
, 2015
, “
An Experimental Model of Vitreous Motion Induced by Eye Rotations
,” Eye Vis.
,
2
, pp. 1
–10
.10.1186/s40662-015-0020-811.
David
,
T.
,
Smye
,
S.
,
Dabbs
,
T.
, and
James
,
T.
, 1998
, “
A Model for the Fluid Motion of Vitreous Humour of the Human Eye During Saccadic Movement
,” Phys. Med. Biol.
,
43
(6
), pp. 1385
–1399
.10.1088/0031-9155/43/6/00112.
Stocchino
,
A.
,
Repetto
,
R.
, and
Cafferata
,
C.
, 2007
, “
Eye Rotation Induced Dynamics of a Newtonian Fluid Within the Vitreous Cavity: The Effect of the Chamber Shape
,” Phys. Med. Biol.
,
52
(7
), pp. 2021
–2034
.10.1088/0031-9155/52/7/01613.
Bonfiglio
,
A.
,
Repetto
,
R.
,
Siggers
,
J. H.
, and
Stocchino
,
A.
, 2013
, “
Investigation of the Motion of a Viscous Fluid in the Vitreous Cavity Induced by Eye Rotations and Implications for Drug Delivery
,” Phys. Med. Biol.
,
58
(6
), pp. 1969
–1982
.10.1088/0031-9155/58/6/196914.
Becker
,
W.
, and
Fuchs
,
A. F.
, 1969
, “
Further Properties of the Human Saccadic System: Eye Movements and Correction Saccades With and Without Visual Fixation Points
,” Vision Res.
,
9
(10
), pp. 1247
–1258
.10.1016/0042-6989(69)90112-615.
Repetto
,
R.
,
Stocchino
,
A.
, and
Cafferata
,
C.
, 2005
, “
Experimental Investigation of Vitreous Humour Motion Within a Human Eye Model
,” Phys. Med. Biol.
,
50
(19
), pp. 4729
–4743
.10.1088/0031-9155/50/19/02116.
Duck
,
P. W.
, and
Foster
,
M. R.
, 2001
, “
Spin-Up of Homogeneous and Stratified Fluids
,” Annu. Rev. Fluid Mech.
,
33
(1
), pp. 231
–263
.10.1146/annurev.fluid.33.1.23117.
Stocchino
,
A.
,
Repetto
,
R.
, and
Siggers
,
J. H.
, 2010
, “
Mixing Processes in the Vitreous Chamber Induced by Eye Rotations
,” Phys. Med. Biol.
,
55
(2
), pp. 453
–467
.10.1088/0031-9155/55/2/00818.
Repetto
,
R.
,
Siggers
,
J. H.
, and
Stocchino
,
A.
, 2008
, “
Steady Streaming Within a Periodically Rotating Sphere
,” J. Fluid. Mech.
,
608
, pp. 71
–80
.10.1017/S002211200800222X19.
Repetto
,
R.
,
Siggers
,
J. H.
, and
Stocchino
,
A.
, 2010
, “
Mathematical Model of Flow in the Vitreous Humor Induced by Saccadic Eye Rotations: Effect of Geometry
,” Biomech. Model. Mechanobiol.
,
9
(1
), pp. 65
–76
.10.1007/s10237-009-0159-020.
Abouali
,
O.
,
Modareszadeh
,
A.
,
Ghaffarieh
,
A.
, and
Tu
,
J.
, 2012
, “
Investigation of Saccadic Eye Movement Effects on the Fluid Dynamic in the Anterior Chamber
,” ASME J. Biomech. Eng.
,
134
(2
), p. 021002.10.1115/1.400576221.
Modareszadeh
,
A.
,
Abouali
,
O.
,
Ghaffarieh
,
A.
, and
Ahmadi
,
G.
, 2013
, “
Saccade Movements Effect on the Intravitreal Drug Delivery in Vitreous Substitutes: A Numerical Study
,” Biomech. Model. Mechanobiol.
,
12
(2
), pp. 281
–290
.10.1007/s10237-012-0398-322.
Brady
,
P. T.
,
Herrmann
,
M.
, and
Lopez
,
J. M.
, 2012
, “
Two-Fluid Confined Flow in a Cylinder Driven by a Rotating Endwall
,” Phys. Rev. E. Stat. Nonlinear, Soft Matter Phys.
,
85
(6
), pp. 1
–30
.10.1103/PhysRevE.85.06730123.
Yoshikawa
,
H. N.
, and
Wesfreid
,
J. E.
, 2011
, “
Oscillatory Kelvin-Helmholtz Instability. Part 1. A Viscous Theory
,” J. Fluid. Mech.
,
675
, pp. 223
–248
.10.1017/S002211201100014024.
Chan
,
Y. K.
,
Ng
,
C. O.
,
Knox
,
P. C.
,
Garvey
,
M. J.
,
Williams
,
R. L.
, and
Wong
,
D.
, 2011
, “
Emulsification of Silicone Oil and Eye Movements
,” Investig. Ophthalmol. Vis. Sci.
,
52
(13
), pp. 9721
–9727
.10.1167/iovs.11-858625.
Chan
,
Y. K.
,
Williams
,
R. L.
, and
Wong
,
D.
, 2014
, “
Flow Behavior of Heavy Silicone Oil During Eye Movements
,” Investig. Ophthalmol. Vis. Sci.
,
55
(12
), pp. 8453
–8457
.10.1167/iovs.14-1543926.
Yousefi
,
A.
,
Abouali
,
O.
,
Rad
,
E. G.
, and
Ahmadi
,
G.
, 2015
, “
Numerical Study of Flow Dynamics in Human Eye Vitreous Chamber After Vitrectomy and Gas Tamponade
,” ASME
Paper No. AJKFluids2015-26372.10.1115/AJKFluids2015-2637227.
Augusteyn
,
R. C.
,
Nankivil
,
D.
,
Mohamed
,
A.
,
Maceo
,
B.
,
Pierre
,
F.
, and
Parel
,
J. M.
, 2012
, “
Human Ocular Biometry
,” Exp. Eye. Res.
,
102
, pp. 70
–75
.10.1016/j.exer.2012.06.00928.
Bahill
,
A. T.
,
Clark
,
M. R.
, and
Stark
,
L.
, 1975
, “
The Main Sequence, a Tool for Studying Human Eye Movements
,” Math. Biosci.
,
24
(3–4
), pp. 191
–204
.10.1016/0025-5564(75)90075-929.
Fawcett
,
I. M.
,
Williams
,
R. L.
, and
Wong
,
D.
, 1994
, “
Contact Angles of Substances Used for Internal Tamponade in Retinal Detachment Surgery
,” Graefe's Arch. Clin. Exp. Ophthalmol.
,
232
(7
), pp. 438
–444
.10.1007/BF0018658730.
Date
,
A. W.
, 2005
, Introduction to Computational Fluid Dynamics
,
Cambridge University Press
,
Cambridge, UK
.31.
Brackbill
,
J. U.
,
Kothe
,
D. B.
, and
Zemach
,
C.
, 1992
, “
A Continuum Method for Modeling Surface Tension
,” J Comput. Phys.
,
100
(2
), pp. 335
–354
.10.1016/0021-9991(92)90240-Y32.
Janczuk
,
B.
,
Bruque
,
J. M.
,
Gonzalez-Martin
,
M. L.
, and
Dorado-Calasanz
,
C.
, 1995
, “
The Adsorption of Triton X-100 at the Air-Aqueous Solution Interface
,” Langmuir
,
11
(11
), pp. 4515
–4518
.10.1021/la00011a05533.
Barca
,
F.
,
Caporossi
,
T.
, and
Rizzo
,
S.
, 2014
, “
Silicone Oil: Different Physical Proprieties and Clinical Applications
,” Biomed. Res. Int.
,
2014
, pp. 1
–7
.10.1155/2014/50214334.
Dharmawardana
,
U. R.
,
Christian
,
S. D.
,
Tucker
,
E. E.
,
Taylor
,
R. W.
, and
Scamehorn
,
J. F.
, 1993
, “
A Surface Tension Method for Determining Binding Constants for Cyclodextrin Inclusion Complexes of Ionic Surfactants
,” Langmuir
,
9
(9
), pp. 2258
–2263
.10.1021/la00033a00335.
Lu
,
Y.
,
Chan
,
Y. K.
,
Lau
,
L. H.
,
Wong
,
D.
,
Wong
,
J. K. W.
,
Shih
,
K. C.
,
Lai
,
S. M.
, and
Shum
,
H. C.
, 2020
, “
Amphiphilic Additives in Silicone Oil Tamponade and Emulsification: An Eye‐on‐a‐Chip Study
,” Acta Ophthalmol.
,
98
(2
), pp. 232
–237
.10.1111/aos.1421236.
Eames
,
I.
,
Angunawela
,
R. I.
,
Aylward
,
G. W.
, and
Azarbadegan
,
A.
, 2010
, “
A Theoretical Model for Predicting Interfacial Relationships of Retinal Tamponades
,” Investig. Ophthalmol. Vis. Sci.
,
51
(4
), pp. 2243
–2247
.10.1167/iovs.09-444237.
Watkins
,
W. B.
, and
Hussey
,
R. G.
, 1977
, “
Spin-Up From Rest in a Cylinder
,” Cit. Phys. Fluids
,
20
(10
), pp. 1596
–1604
.10.1063/1.86178138.
Lu
,
Y.
,
Chan
,
Y. K.
,
Lau
,
L. H.
,
Chao
,
Y.
,
Shih
,
K. C.
,
Lai
,
S. M.
,
Wong
,
D.
, and
Shum
,
H. C.
, 2019
, “
Adhesion of Silicone Oil and Emulsification: An In Vitro Assessment Using a Microfluidic Device and ‘Eye-on-a-Chip’
,” Acta Ophthalmol.
,
97
(3
), pp. 313
–316
.10.1111/aos.1398239.
Chan
,
Y. K.
,
Sy
,
K. H. S.
,
Wong
,
C. Y.
,
Man
,
P. K.
,
Wong
,
D.
, and
Shum
,
H. C.
, 2015
, “
In Vitro Modeling of Emulsification of Silicone Oil as Intraocular Tamponade Using Microengineered Eye-on-a-Chip
,” Investig. Ophthalmol. Vis. Sci.
,
56
(5
), pp. 3314
–3319
.10.1167/iovs.15-1672840.
Atmakidis
,
T.
, and
Kenig
,
E.
, 2010
, “
A Study on the Kelvin-Helmholtz Instability Using Two Different Computational Fluid Dynamics Methods
,” J. Comput. Multiphase Flows
,
2
(1
), pp. 33
–44
.10.1260/1757-482X.2.1.3341.
Angunawela
,
R. I.
,
Azarbadegan
,
A.
,
William Aylward
,
G.
, and
Eames
,
I.
, 2011
, “
Intraocular Fluid Dynamics and Retinal Shear Stress After Vitrectomy and Gas Tamponade
,” Investig. Ophthalmol. Vis. Sci.
,
52
(10
), pp. 7046
–7051
.10.1167/iovs.10-6872Copyright © 2022 by ASME
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