This article models the dynamics of cilia-based devices (soft cantilever-type, vibrating devices that are excited by external vibrations) for mixing and manipulating liquids in microfluidic applications. The main contribution of this article is to develop a model, which shows that liquid sloshing and the added-mass effect play substantial roles in generating large-amplitude motion of the cilia. Additionally, experimental mixing results, with and without cilia, are comparatively evaluated to show more than one order-of-magnitude reduction in the mixing time with the use of cilia.
Issue Section:
Research Papers
References
1.
Miller
, C. E.
, 1968, “The Kinematics and Dynamics of Ciliary Fluid Systems
,” J. Exp. Biol.
, 49
, pp. 617
–629
.2.
Sleigh
, M. A.
, 1974, Cilia and Flagella
, Academic
, New York
.3.
Brennen
, C.
, 1974, “An Oscillating-Boundary-Layer Theory for Ciliary Propulsion
,” J. Fluid Mech.
, 65
(4
), pp. 799
–824
.4.
Tuck
, E. O.
, 1968, “A Note on a Swimming Problem
,” J. Fluid Mech.
, 31
, pp. 305
–308
.5.
Ramia
, M.
, Tullock
, D. L.
, and Phanthien
, N.
, 1993, “The Role of Hydrodynamic Interaction in the Locomotion of Microorganisms
,” Biophys. J.
, 65
, pp. 755
–778
.6.
Gueron
, S.
, and Levit-Gurevich
, K.
, 1998, “Computation of the Internal Forces in Cilia: Application to Ciliary Motion, the Effects of Viscosity, and Cilia Interactions
,” Biophys. J.
, 74
, pp. 1658
–1676
.7.
Bovender
, C. R.
, 1977, “Nasal Filter
,” U.S. Patent No. 4052983.8.
Ataka
, M.
, Omodaka
, A.
, Takeshima
, N.
, and Fujita
, H.
, 1993, “Fabrication and Operation of Polyimide Bimorph Actuators for a Ciliary Motion Ssystem
,” J. Microelectromech. Syst.
, 2
(4
), pp. 146
–150
.9.
Chen
, Z.
, Shatara
, S.
, and Tan
, X. B.
, 2010, “Modeling of Biomimetic Robotic Fish Propelled by an Ionic PolymerMmetal Composite Caudal Fin
,” IEEE/ASME Trans. Mechatron.
, 15
(3
), pp. 448
–459
.10.
Behkam
, B.
, and Sitti
, M.
, 2006, “Design Methodology for Biomimetic Propulsion of Miniature Swimming Robots
,” ASME J. Dyn. Syst. Meas. Control
, 128
(1
), pp. 36
–43
.11.
Alvarado
, P. V. Y.
, and Youcef-Toumi
, K.
, 2006, “Design of Machines With Compliant Bodies for Biomimetic Locomotion in Liquid Environments
,” ASME J. Dyn. Syst. Meas. Control
, 128
(1
), pp. 3
–13
.12.
Saif
, M. T. A.
, Alaca
, B. E,
and Sehitoglu
, H.
, 1999, “Analytical Modeling of Electrostatic Membrane Actuator for Micro Pumps
,” IEEE J. Microelectromech. Syst.
, 8
(3
), pp. 335
–345
.13.
Oh
, K.
, Chung
, J.-H.
, Devasia
, S.
, and Riley
, J. J.
, 2009, “Bio-Mimetic Silicone Cilia for Microfluidic Manipulation
,” Lab Chip
, 9
(11
), pp. 1561
–1566
.14.
Khatavkar
, V. V.
, Anderson
, P. D.
, den Toonder
, J. M. J.
, and Meijer
, H. E. H.
, 2007, “Active Micromixer Based on Artificial Cilia
,” Phys. Fluids
, 19
(8
), 083605
.15.
Dreyfus
, R.
, Baudry
, J.
, Roper
, M. L.
, Fermigier
, M.
, Stone
, H. A.
, and Bibette
, J.
, 2005, “Microscopic Artificial Swimmers
,” Nature (London)
, 437
(7060), pp. 862
–865
.16.
Hill
, D. E.
, and Baumgarten
, J. R.
, 1992, “Control of Spin-Stabilized Spacecraft With Sloshing Fluid Stores
,” ASME J. Dyn. Syst., Meas., Control
, 114
(4
), pp. 728
–731
.17.
Ibrahim
, R. A.
, 2005, Liquid Sloshing Dynamics: Theory and Applications
, Cambridge University
, New York
.18.
Stokes
, G. G.
, 1850, “On the Effect of the Internal Friction of Fluids on the Motion of Pendulums
,” Trans. Cambridge Philos. Soc.
, 9
(2
), pp. 8
–106
.19.
Ferrers
, N. M.
, ed., 1970, Green’s paper on “ Researches on the Vibration of Pendulums in Fluid Media,” from the Transactions of the Royal Society of Edinburgh, 1833, Mathematical Papers of George Green, Chelsea Publishing, New York.20.
Lindholm
, U. S.
, Kana
, D. D.
, Chu
, W.-H.
, and Abramson
, H. N.
, 1965, “Elastic Vibration Characteristics of Cantilever Plates in Water
,” J. Ship Res.
, 9
, pp. 11
–22
.21.
Landau
, L. D.
, and Lifshitz
, E. M.
, 1987, “Fluid Mechanics
,” Course of Theoretical Physics
, 2nd ed., Pergamon
, New York
, Sec. 24, Vol. 6
.22.
Stroock
, A. D.
, Dertinger
, S. K. W.
, Ajdari
, A.
, Mezic
, I.
, Stone
, H. A.
, and Whitesides
, G. M.
, 2002, “Chaotic Mixer for Microchannels
,” Science
, 295
(5555), pp. 647
–651
.23.
Yaralioglu
, G. G.
, Wygant
, I. O.
, Marentis
, T. C.
, and Khuri-Yakub
, B. T.
, 2004, “Ultrasonic Mixing in Microfluidic Channels Using Integrated Transducers
,” Anal. Chem.
, 76
, 3694
–3698
.24.
Hawkes
, J. J.
, Barber
, R. W.
, Emerson
, D. R.
, and Coakley
, W. T.
, 2004, “Continuous Cell Washing and Mixing Driven by an Ultrasound Standing Wave Within a Microfluidic Channel
,” Lab Chip
, 4
(5
), pp. 446
–452
.25.
Grumann
, M.
, Geipe
, A.
, Riegger
, L.
, Zengerle
, R.
, and Ducree
, J.
, 2005, “Batch-Mode Mixing on Centrifugal Microfluidic Platforms
,” Lab Chip
, 5
(5
), pp. 560
–565
.26.
Herrmann
, M.
, Veres
, T.
, and Tabrizian
, M.
, 2006, “Enzymatically-Generated Fluorescent Detection in Micro-Channels with Internal Magnetic Mixing for the Development of Parallel Microfluidic Elisa
,” Lab Chip
, 6
(4
), pp. 555
–560
.27.
Vilfan
, M.
, Potočnik
, A.
, Kavčič
, B.
, Osterman
, N.
, Poberaj
, I.
, Vilfan
, A.
, and Babič
, D.
, 2010, “Self-Assembled Artificial Cilia
,” Proc. Natl. Acad. Sci. U.S.A.
, 107
(5
), pp. 1844
–1847
. 28.
Sader
, J. E.
, Chon
, J. W. M.
, and Mulvaney
, P
, 2000,“Experimental Validation of Theoretical Models for the Frequency Response of Atomic Force Microscope Cantilever Beams Immersed in Fluids
,” J. Appl. Phys.
, 87
(8
), pp. 3978
–3988
.29.
Zhang
, W.
, and Turner
, K.
, 2007, “Frequency Dependant Fluid Damping of Micro/Nano Flexural Resonators: Experiment, Model and Analysis
,” Sens. Actuators, A
, 137
, pp. 594
–599
.30.
Wang
, K.-L.
, and Jones
T.B.
, 2005, “Electrowetting Dynamics of Microfluidic Actuation
,” Langmuir
, 21
(9
), pp. 4211
–4217
.31.
Hosseini
, M. K. A.
, Omidi
, O.
, Meghdari
, A.
, and Vossoughi
, G.
, 2006, “A Composite Rigid Body Algorithm for Modeling and Simulation of an Underwater Vehicle Equipped with Manipulator Arms
,” J. Offshore Mech. Arct. Eng.
, 128
, pp. 119
–132
.32.
Kongthon
, J.
, Mckay
, B.
, Iamratanakul
, D.
, Oh
, K.
, Chung
, J.-H.
, Riley
, J. J.
, and Devasia
, S.
2010, “Added-Mass Effect in Modeling of Cilia-Based Devices for Microfluidic Systems
,” J. Vib. Acoust.
, 132
, 024501
.33.
Inman
D. J.
, 2001, Engineering Vibration
, 2nd ed., Prentice-Hall
, New Jersey
.34.
Yum
, K.
, Wang
, Z.
, Suryavanshi
, A. P.
, and Yu
, M. F.
, 2004, “Experimental Measurement and Model Analysis of Damping Effect in Nanoscale Mechanical Beam Resonators in Air
,” J. Appl. Phys.
, 96
(7
), pp. 3933
–3938
.35.
Zhang
, C.
, Xu
G.
, and Jiang
, Q.
, 2003, “Analysis of the Air-Damping Effect on a Micromachined Beam Resonator
,” Math. Mech. Solids
, 8
, pp. 315
–325
.36.
Blevins
R. D.
, 1977, Flow-Induced Vibration
, Van Nostrand Reinhold Company
, New York
.37.
Sumer
, B. M.
, and Fredsoe
, J.
, 2006,“Hydrodynamics Around Cylindrical Structures
,” Advanced Series on Ocean Engineering
, World Scientific
, New Jersey
, Vol. 26
, revised ed.38.
Mitra
, S.
, and Sinhamahapatra
, K. P.
, 2007, “Slosh Dynamics of Liquid-Filled Containers With Submerged Components Using Pressure-Based Finite Element Method
,” J. Sound Vib.
, 304
(1-2
), pp. 361
–381
.39.
Nise
, N. S,
2004, Control Systems Engineering
, 4th ed., Wiley
, Hoboken, NJ
.40.
Oh
, K.
, Smith
, B.
, Devasia
, S.
, Riley
, J. J.
, and Chung, J.-H., 2010, “Characterization of Mixing Performance for Bio-Mimetic Silicone Cilia
,” Microfluid. Nanofluid.
, 9
, pp. 645
–655
.41.
Jeon
, N. L.
, Dertinger
, S. K. W.
, Chiu
, D. T.
, Choi
, I. S.
, Stroock
, A. D.
, and Whitesides
, G. M.
, 2000, “Generation of Solution and Surface Gradients Using Microfluidic Systems
,” Langmuir
, 16
, pp. 8311
–8316
.Copyright © 2011
by American Society of Mechanical Engineers
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