Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels

WANG Shuang; JIAN Yongjun

doi:10.21656/1000-0887.400151

Volume 41 Issue 4

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WANG Shuang, JIAN Yongjun. Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels[J]. Applied Mathematics and Mechanics, 2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151

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Magnetohydrodynamic Electroosmotic Flow in Zeta Potential Patterned Micro-Parallel Channels

doi: 10.21656/1000-0887.400151

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China

Funds: The National Natural Science Foundation of China(11772162;11472140)

Received Date: 2019-04-26
Rev Recd Date: 2019-05-14
Publish Date: 2020-04-01

Abstract

Abstract

Two-dimensional magnetohydrodynamic (MHD) electroosmotic flow (EOF) in zeta potential patterned micro-parallel channels was studied. The flow was driven by the combination of the Lorentz force and the electric field force produced due to an externally imposed vertical magnetic field and two horizontal electric fields. The analytical solutions of stream function and velocity distribution were obtained under the condition of hydrodynamic slippage. The variations of velocities with related non-dimensional parameters, such as Hartmann number Ha,slip length B and electrokinetic width K were addressed in detail. Results show that, the patterned charged surfaces induce a vertical velocity component leading to the formation of the vortexes. Also, the magnitudes of velocities increase with slip length B and electrokinetic width K.Moreover, it is interesting to note that the magnitudes of velocities become small with the increasing value of Ha, unlike the situation where there exists a critical value of Ha in one-dimensional flow. The present theoretical results can be utilized to design efficient microfluidic devices.
- magnetohydrodynamic,
- electroosmotic flow,
- micro-parallel channel,
- zeta potential patterned surface,
- Hartmann number

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References(30)

References

[1]	GRAVESEN P, BRANEBJERG J, JENSEN O S. Microfluidics: a review[J]. Journal of Micromechanics and Microengineering,1993,3(4): 168.
[2]	BECKER H, GRTNER C. Polymer microfabrication methods for microfluidic analytical applications[J]. Electrophoresis,2000,21(1): 12-26.
[3]	ZIAIE B, BALDI A, LEI M, et al. Hard and soft micromachining for BioMEMS: review of techniques and examples of applications in microfluidics and drug delivery[J]. Advanced Drug Delivery Reviews,2004,56(2): 145-172.
[4]	NGUYEN N T, WU Z. Micromixers: a review[J]. Journal of Micromechanics and Microengineering,2005,15(2): R1-R16.
[5]	OHNO K, TACHIKAWA K, MANZ A. Microfluidics: applications for analytical purposes in chemistry and biochemistry[J]. Electrophoresis,2008,29(22): 4443-4453.
[6]	CULBERTSON C T, RAMSEY R S, RAMSEY J M. Electroosmotically induced hydraulic pumping on microchips: differential ion transport[J]. Analytical Chemistry,2000,72(10): 2285-2291.
[7]	DASGUPTA P K, LIU S. Electroosmosis: a reliable fluid propulsion system for flow injection analysis[J]. Analytical Chemistry,1994,66(11): 1792-1798.
[8]	BAU H H, ZHU J, QIAN S, et al. A magneto-hydrodynamically controlled fluidic network[J]. Sensors and Actuators B: Chemical,2003,88(2): 205-216.
[9]	QIAN S, BAU H H. Magneto-hydrodynamics based microfluidics[J]. Mechanics Research Communications,2009,36(1): 10-21.
[10]	JANG J, LEE S S. Theoretical and experimental study of MHD (magnetohydrodynamic) micropump[J]. Sensors and Actuators A: Physical,2000,80(1): 84-89.
[11]	NGUYEN N T. Micro-magnetofluidics: interactions between magnetism and fluid flow on the microscale[J]. Microfluid Nanofluid,2012,12: 1-16.
[12]	RIVERO M, CUEVAS S. Analysis of the slip condition in magnetohydrodynamic (MHD) micropumps[J]. Sensors and Actuators B: Chemical,2012,166: 884-892.
[13]	CHAKRABORTY S, PAUL D. Microchannel flow control through a combined electromagnetohydrodynamic transport[J]. Journal of Physics D: Applied Physics,2006,39(24): 5364-5371.
[14]	JIAN Y J, SI D Q, CHANG L, et al. Transient rotating electromagnetohydrodynamic micropumps between two infinite microparallel plates[J]. Chemical Engineering Science,2015,134: 12-22.
[15]	SI D Q, JIAN Y J. Electromagnetohydrodynamic (EMHD) micropump of Jeffrey fluids through two parallel microchannels with corrugated walls[J]. Journal of Physics D: Applied Physics,2015,48(8): 085501.
[16]	XIE Z Y, JIAN Y J. Entropy generation of two-layer magnetohydrodynamic electroosmotic flow through microparallel channels[J]. Energy,2017,139: 1080-1093.
[17]	STROOCK A D, WECK M, CHIU D T, et al. Patterning electro-osmotic flow with patterned surface charge[J]. Physical Review Letters,2000,84(15): 3314-3317.
[18]	BIDDISS E, ERICKSON D, LI D. Heterogeneous surface charge enhanced micromixing for electrokinetic flows[J]. Analytical Chemistry,2004,76(11): 3208-3213.
[19]	AJDARI A. Generation of transverse fluid currents and forces by an electric field: electro-osmosis on charge-modulated and undulated surfaces[J]. Physical Review E,1996,53(5): 4996-5005.
[20]	YARIV E. Electro-osmotic flow near a surface charge discontinuity[J]. Journal of Fluid Mechanics,2004,521: 181-189.
[21]	GHOSH U, CHAKRABORTY S. Electroosmosis of viscoelastic fluids over charge modulated surfaces in narrow confinements[J]. Physics of Fluids,2015,27(6): 062004.
[22]	GHOSH U, CHAKRABORTY S. Electrokinetics over charge-modulated surfaces in the presence of patterned wettability: role of the anisotropic streaming potential[J]. Physical Review E,2013,88(3): 033001.
[23]	MANDAL S, GHOSH U, BANDOPADHYAY A, et al. Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements[J]. Journal of Fluid Mechanics,2015,776: 390-429.
[24]	STONE H A, STROOCK A D, AJDARI A. Engineering flows in small devices: microfluidics toward a lab-on-a-chip[J]. Annual Review of Fluid Mechanics,2004,36: 381-411.
[25]	DATTA S, CHOUDHARY J N. Effect of hydrodynamic slippage on electro-osmotic flow in zeta potential patterned nanochannels[J]. Fluid Dynamics Research,2013,45(5): 055502.
[26]	AJDARI A.Electro-osmosis on inhomogeneously charged surfaces[J]. Physical Review Letters,1995,75(4): 755-758.
[27]	EIJKEL J C T. Liquid slip in micro- and nanofluidics: recent research and its possible implications[J]. Lab on a Chip,2007,7(3): 299-301.
[28]	JIAN Y J, CHANG L. Electromagnetohydrodynamic (EMHD) micropumps under a spatially non-uniform magnetic field[J]. AIP Advances,2015,5(5): 057121.
[29]	LIU Y P, JIAN Y J, LIU Q S, et al. Alternating current magnetohydrodynamic electroosmotic flow of Maxwell fluids between two micro-parallel plates[J]. Journal of Molecular Liquids,2015,211: 784-791.
[30]	许丽娜, 菅永军. 柔性圆柱形微管道内的电动流动及传热研究[J]. 应用数学和力学, 2019,40(4): 408-418.(XU Lina, JIAN Yongjun. Electrokinetic flow and heat transfer in soft microtubes[J]. Applied Mathematics and Mechanics,2019,40(4): 408-418.(in Chinese)