Effect of ionic concentration on electrokinetic instability in a cross-shaped microchannel
- 175 Downloads
- 10 Citations
Abstract
This paper performs numerical and experimental investigations into electrokinetic instability (EKI) effects to accomplish mixing of multiple solutions with different electric conductivities in a cross-shaped microchannel. This study considers two multiple-species, namely two aqueous electrolyte solutions and three electrolyte solutions with conductivity ratios ranging between 1 and 10, respectively. A stratified flow condition is formed when the intensity of the applied DC electrical field is below a certain threshold value. However, as the intensity increased, various EKI phenomena are induced, including a series of flow recirculations at the interfaces of neighboring species flows, a string of pearl-like flow structures aligned with the low-conductivity species stream, and a wavy perturbation of the species interfaces. The EKI phenomena are clarified in terms of the respective axial velocities and specie flow pressure gradients. In practice, the nature of the EKI effect depends upon the relative directions of the conductivity gradients within the microchannel. Analyzing the EKI phenomena effects in mixing multiple-species, it is found that the mixing performance obtained when the conductivity gradients are orientated in opposing directions is higher than that achieved when the conductivity gradients are aligned. Furthermore, the optimal mixing index is achieved when the conductivity gradients are directed away from one another (i.e. from the center of the microchannel toward the microchannel walls) rather than toward one another (i.e. from the microchannel walls toward the center of the microchannel).
Keywords
Electrokinetic instability Conductivity Mixing indexNotes
Acknowledgments
The author gratefully acknowledges the financial support provided to this study by the National Science Council of Taiwan under Grant Nos. NSC 96-2622-E-167-006-CC3 and NSC 96-2221-E-269-011-MY2.
References
- Ajdari A (1995) Electro-osmosis on inhomogeneously charged surfaces. Phys Rev Lett 75(4):755–758CrossRefGoogle Scholar
- Baygents JC, Baldessari F (1998) Electrohydrodynamic instability in a thin fluid layer with an electrical conductivity gradient. Phys Fluids 10:301–311CrossRefGoogle Scholar
- Biddiss E, Erickson D, Li D (2004) Heterogeneous surface charge enhanced micromixing for electrokinetic flows. Anal Chem 76(11):3208–3213CrossRefGoogle Scholar
- Branerbjerg J, Gravesen P, Krog JP, Nielsen CR (1996) Fast mixing by lamination. In: Proceedings of IEEE MEMS, pp 441–446Google Scholar
- Chang CC, Yang RJ (2006) A particle tracking method for analyzing chaotic electroosmotic flow mixing in 3-D microchannels with patterned charged surfaces. J Micromech Microeng 16(8):1453–1462CrossRefMathSciNetGoogle Scholar
- Chang CC, Yang RJ (2007) Electrokinetic mixing in microfluidic systems. Microfluidics Nanofluidics 3(5):501–525CrossRefGoogle Scholar
- Chen CH, Lin H, Lele SK, Santiago JG (2005) Convective and absolute electrokinetic instability with conductivity gradients. J Fluid Mech 524:263–303MATHCrossRefGoogle Scholar
- Erickson D, Li D (2002) Influence of surface heterogeneity on electrokinetically driven microfluidic mixing. Langmuir 18(5):1883–1892CrossRefGoogle Scholar
- Hoburg JF, Melcher JR (1977) Electrohydrodynamic mixing and instability induced by collinear fields and conductivity gradients. Phys Fluids 20:903–911MATHCrossRefGoogle Scholar
- Hunter RJ (1981) Zeta potential in colloid science: principles and applications. Academic Press, LondonGoogle Scholar
- Koch M, Chatelain D, Evans AGR, Brunnschweiler A (1998) Two simple micromixers based on silicon. J Micromech Microeng 8(2):123–126CrossRefGoogle Scholar
- Lee YK, Deval J, Tabeling P and Ho CM (2001) Chaotic mixing in electrokinetically and pressure driven micro flows. In: Proceedings of IEEE MEMS, pp 483–486Google Scholar
- Lin CH, Lee GB, Lin YH, Chang GL (2001) A fast prototyping process for fabrication of microfluidic systems on soda-lime glass. J Micromech Microeng 11(6):726–732CrossRefGoogle Scholar
- Lin H, Storey BD, Oddy MH, Chen CH, Santiago JG (2004) Instability of electrokinetic microchannel flows with conductivity gradients. Phys Fluids 16:1922–1935CrossRefGoogle Scholar
- Lu LH, Ryu KS, Liu CJ (2002) A magnetic microstirrer and array for microfluidic mixing. J MEMS 11(5):462–469Google Scholar
- Luo WJ (2004) Transient elestro-osmotic flow induced by DC or AC electric fields in a curved micro-tube. J Colloid Interface Sci 278(2):497–507CrossRefGoogle Scholar
- Luo WJ (2006) Transient electroosmotic flow induced by ac electric field in microchannel with patchwise surface heterogeneities. J Colloid Interface Sci 295:551–561CrossRefGoogle Scholar
- Luo WJ, Yarn KF, Hsu SP (2007) Analysis of electrokinetic mixing using AC electric field and patchwise surface heterogeneities. Jpn J Appl Phys 46:1608–1616CrossRefGoogle Scholar
- Luo WJ, Yarn KF, Shih MH, Yu KC (2008) Microfluidic mixing utilizing electrokinetic instability stirred by electrical field intensity perturbations in a glass microchannel. Optoelectron Adv Mater Rapid Commun 2(2):117–125Google Scholar
- Mengeaud V, Josserand J, Girault HH (2002) Mixing processes in a zigzag microchannel: finite element simulations and optical study. Anal Chem 74:4279–4286CrossRefGoogle Scholar
- Melcher JR, Taylor GI (1969) Electrohydrodynamics: a review of the role of interfacial shear stress. Annu Rev Fluid Mech 1:111–146CrossRefGoogle Scholar
- Miyake R, Lammerink TSJ, Elwenspoek M, Fluitman JHJ (1993) Micro mixer with fast diffusion. In: Proceedings of IEEE MEMS, pp 248–253Google Scholar
- Oddy MH, Santiago JG (2005) Multiple-species model for electrokinetic instability. Phys Fluids 17:064108-1–064108-17CrossRefGoogle Scholar
- Pan YJ, Ren CM, Yang RJ (2007) Electrokinetic flow focusing and valveless switching integrated with electrokinetic instability for mixing enhancement. J Micromech Microeng 17:820–827CrossRefGoogle Scholar
- Qian S, Bau HH (2002) A chaotic electroosmotic stirrer. Anal Chem 74(15):3616–3625CrossRefGoogle Scholar
- Rife JC, Bell MI, Horwitz JS, Kabler MN, Kabler RCY, Auyeung RCY, Kim WJ (2000) Miniature valveless ultrasonic pumps and mixers. Sens Actuators A 86:135–140CrossRefGoogle Scholar
- Saville DA (1997) Electrohydrodynamics: the Taylor-Melcher leaky dielectric model. Annu Rev Fluid Mech 29:27–64CrossRefMathSciNetGoogle Scholar
- Tai CH, Yang RJ, Fu LM (2006) Micromixer utilizing electrokinetic instability-induced shedding effect. Electrophoresis 27:4982–4990CrossRefGoogle Scholar
- Voldman J, Gray ML, Schmidt MA (2000) Integrated liquid mixer/valve. J MEMS 9(3):295–302Google Scholar