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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

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Front Mech Eng Chin    2010, Vol. 5 Issue (4) : 376-388    https://doi.org/10.1007/s11465-010-0104-z
RESEARCH ARTICLE
Modeling and simulation of droplet translocation and fission by electrowetting-on-dielectrics (EWOD)
Nathan HOWELL, Weihua LI()
School of Mechanical, Materials & Mechatronic Engineering, University of Wollongong, Wollongong, NSW 2522, Australia
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Abstract

This paper discusses methods of microfluidic droplet actuation by means of electrowetting-on-dielectrics (EWOD) and provides a technique for modeling and simulating a microfluidic device by using the computational fluid dynamics (CFD) program, Flow3D. Digital or droplet microfluidics implies the manipulation of droplets on a scale of nanoliters (10-9 L) to femtoliters (10-15 L), as opposed to continuous microfluidics that involve the control of continuous fluid within a channel. The two operations in focus here are droplet translocation (moving) and droplet fission (splitting), in which the pressures and velocities within the droplet are analyzed and compared to existing works, both theoretical and experimental. The variation in the pressure of the leading and trailing faces of a droplet indicates the variation in surface energy—an important parameter that explains how a droplet will move toward a region of higher electric potential. The higher voltage on one side of a droplet reduces surface energy, which leads to an induced pressure drop, thus resulting in fluid motion. Flow3D simulations are for both water and blood droplets at voltages between 50 V and 200 V, and the droplet size, surface properties (Teflon coated), and geometry of the system are kept constant for each operation. Some peculiarities of the simulation are brought to light, such as instabilities of the system to higher voltages and fluids with higher dielectric constants, as well as the creation of a tertiary droplet when the applied voltage causes a large enough force during fission. The force distribution across the droplet provides a general understanding of the electrowetting effect and more specifically allows for a comparison between the effects that different voltages have on the forces at the droplet surface. The droplet position and mean kinetic energy of the droplet are also investigated and compared to other works, proving the dynamics of a droplet motion found here.

Keywords electrowetting-on-dielectrics (EWOD)      electrowetting      microfluidics      droplet translocation      droplet fission      Flow3D      dielectric constant     
Corresponding Author(s): LI Weihua,Email:weihuali@uow.edu.au   
Issue Date: 05 December 2010
 Cite this article:   
Weihua LI,Nathan HOWELL. Modeling and simulation of droplet translocation and fission by electrowetting-on-dielectrics (EWOD)[J]. Front Mech Eng Chin, 2010, 5(4): 376-388.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-010-0104-z
https://academic.hep.com.cn/fme/EN/Y2010/V5/I4/376
Fig.1  Electrowetting on dielectrics (EWOD) phenomenon. (a) Fluid head before a voltage is applied; (b) depicts a decrease in contact angle where the fluid contacts the channel wall at the electrode
Fig.2  Theoretical comparison between contact angle and applied voltage
Fig.3  Typical simulation geometry. (a) Translocation; (b) fission
Fig.4  Successful droplet translocation from this simulation, water at 100 V, = 100 μm. (a) Center electrode active; (b) 0.0045 s after right electrode becomes active, droplet centered; (c) 0.006 s after right electrode becomes active; (d) 0.008 s after right electrode becomes active, translocation complete
Fig.5  Successful droplet translocation at 40 V, = 70 μm. (a) =0 s; (b) =0.066 s; (c) =0.132 s; (d) =0.33 s[]
parameterFlow3DJang
electrode dimensions/(mm×mm)1×12×2
channel height/m10070
surface tension/(J·m-2)0.0730.0719
actuation voltage/V10040
time to completion/s0.0080.33
Tab.1  Simulation parameters for translocation
Fig.6  Successful droplet fission from this simulation—blood at 150 V, = 100 μm. (a) Center electrode active; (b) 0.0019 s after outer electrodes become active, necking beginning; (c) 0.004 s outer electrodes become active; (d) 0.009 s outer electrodes become active
Fig.7  Successful droplet fission at 60 V, = 70 μm. (a) =0 s; (b) =0.099 s; (c) =0.12 s[]
parameterFlow3DJang
electrode dimensions/(mm×mm)1×12×2
channel height/m10070
surface tension/(J·m-2)0.0730.0719
actuation voltage/V15060
time to completion/s0.0090.12
Tab.2  Simulation parameters for fission.
Fig.8  Pressure distribution for a droplet during translocation. (a) = 0 s; (b) = 0.005 s; (c) = 0.01 s; (d) = droplet centered between electrodes
Fig.9  Pressure distribution for a droplet during fission. (a) = 0.01 s; (b) = necking beginning
Fig.10  Velocity distribution for a droplet during translocation. (a) = 0 s; (b) = 0.005 s; (c) = 0.01 s; (d) = droplet centered between electrodes
Fig.11  Velocity distribution for a droplet during fission. (a) = 0.01 s; (b) = necking beginning
Fig.12  Velocity versus voltage for systems scaled to different channel heights, electrode dimensions, and droplet diameters in same ratio
Fig.13  Force distribution on droplet at different voltages. (a) Force upon the actuation of center electrode, Flow3D simulation with channel gap of 100 μm; (b) experimental results with a channel gap of 10 μm []; (c) channel gap of 100 μm []
Fig.14  Droplet position during translocation. (a) Left to right; (b) right to left
Fig.15  Estimated mean kinetic energy for droplet translocation
Fig.16  Stages of fission showing creation of tertiary droplet—water at 200 V. (a) Center electrode active; (b) 0.001 s after outer electrodes become active, necking beginning; (c) 0.0025 s after outer electrodes become active; (d) 0.005 s after outer electrodes become active, creation of a third droplet
Fig.17  Young-Lipmann model obtained from simulation []
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