Abstract
We present a theoretical investigation of rotating electroosmotic flows (EOFs) in soft parallel plate microchannels. The soft microchannel, also called as the polyelectrolyte-grafted microchannel, is denoted as a rigid microchannel coated with a polyelectrolyte layer (PEL) on its surface. We compare the velocity in a soft microchannel with that in a rigid one for different rotating frequencies and find that the PEL has a trend to lower the velocities in both directions for a larger equivalent electrical double layer (EDL) thickness λFCL (λFCL = 0.3) and a smaller rotating frequency ω (ω < 5). However, for a larger rotating frequency ω (ω < 5), the main stream velocity u far away from the channel walls in a soft microchannel exceeds that in a rigid one. Inspired by the above results, we can control the EOF velocity in micro rotating systems by imparting PELs on the microchannel walls, which may be an interesting application in biomedical separation and chemical reaction.
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STONE, H. A., STROOCK, A. D., and AJDARI, A. Engineering flows in small devices: microfluidics toward a lab-on-a-chip. Annual Review of Fluid Mechanics, 36, 381–411 (2004)
LASTER, D. J. and SANTIAGO, J. G. A review of micropumps. Journal of Micromechanics and Microengineering, 14(6), R35–R64 (2004)
GHOSAL, S. Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge. Journal of Fluid Mechanics, 459, 103–128 (2002)
RAMON, G. Z. Solute transport under oscillating electro-osmotic flow in a closed-ended cylindrical pore. Journal of Engineering Mathematics, 110(1), 195–205 (2018)
JIAN, Y. J., YANG, L. G., and LIU, Q. S. Time periodic electro-osmotic flow through a microannulus. Physics of Fluids, 22(4), 042001 (2010)
JIAN, Y. J., LIU, Q. S., and YANG, L. G. AC electroosmotic flow of generalized Maxwell fluids in a rectangular microchannel. Journal of Non-Newton Fluid Mechanics, 166, 1304–1314 (2011)
AFONSO, A. M., ALVES, M. A., and PINHO, F. T. Electro-osmotic flow of viscoelastic fluids in microchannels under asymmetric zeta potentials. Journal of Engineering Mathematics, 71(1), 15–30 (2011)
VAN LINEEL, H. T. G., VAN DE POL, F. C. M., and BOUWSTRA, S. A piezoelectric micropump based on micromachining of silicon. Sensors and Actuators, 15(2), 153–167 (1988)
PAMME, N. Magnetism and microfluidics. Lab on a Chip, 6(1), 24–38 (2006)
JANG, J. and LEE, S. S. Theoretical and experimental study of MHD (magnetohydrodynamic) micropump. Sensors and Actuators A: Physical, 80(1), 84–89 (2000)
RIVERO, M. and CUEVAS, S. Analysis of the slip condition in magnetohydrodynamic (MHD) micropumps. Sensors and Actuators B: Chemical, 166, 884–892 (2012)
BUREN, M. D. L., JIAN, Y. J., and CHANG, L. Electromagnetohydrodynamic flow through a microparallel channel with corrugated walls. Journal of Physics D: Applied Physics, 47(42), 425501 (2014)
SI, D. Q. and JIAN, Y. J. Electromagnetohydrodynamic (EMHD) micropump of Jeffrey fluids through two parallel microchannels with corrugated walls. Journal of Physics D: Applied Physics, 48(8), 085501 (2015)
ZHAO, G. P., JIAN, Y. J., CHANG, L., and BUREN, M. D. L. Magnetohydrodynamic flow of generalized Maxwell fluids in a rectangular micropump under an AC electric field. Journal of Magnetism and Magnetic Materials, 387, 111–117 (2015)
JIAN, Y. J. and CHANG, L. Electromagnetohydrodynamic (EMHD) micropumps under a spatially non-uniform magnetic field. AIP Advances, 5(5), 057121 (2015)
JIAN, Y. J. Transient MHD heat transfer and entropy generation in a microparallel channel combined with pressure and electroosmotic effects. International Journal of Heat and Mass Transfer, 89, 193–205 (2015)
WANG, L., JIAN, Y. J., LIU, Q. S., LI, F. Q., and CHANG, L. Electromagnetohydrodynamic flow and heat transfer of third grade fluids between two micro-parallel plates. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 494, 87–94 (2016)
JIAN, Y. J., SI, D. Q., CHANG, L., and LIU, Q. S. Transient rotating electromagneto hydrodynamic micropumps between two infinite microparallel plates. Chemical and Engineering Science, 134, 12–22 (2015)
RANJIT, N. K. and SHIT, G. C. Joule heating effects on electromagnetohydrodynamic flow through a peristaltically induced micro-channel with different zeta potential and wall slip. Physica A: Statistical Mechanics and Its Applications, 482, 458–476 (2017)
SHIT, G. C., MONDAL, A., SINHA, A., and KUNDU, P. K. Electro-osmotically driven MHD flow and heat transfer in micro-channel. Physica A: Statistical Mechanics and Its Applications, 449, 437–454 (2016)
WEINERT, F. M., WUHR, M., and BRAUNA, D. Light driven microflow in ice. Applied Physics Letters, 94(11), 113901 (2009)
YEO, L. Y. and FRIEND, J. R. Surface acoustic wave microfluidics. Annual Review of Fluid Mechanics, 46, 379–406 (2014)
DAS, S., CHAKRABORTY, S., and MITYA, S. K. Redefining electrical double layer thickness in narrow confinements: effect of solvent polarization. Physics Review E, 85(5), 051508 (2012)
MANZ, A., GRABER, N., and WIDMER, H. M. Miniaturized total chemical analysis systems: a novel concept for chemical sensing. Sensors and Actuators B: Chemical, 1, 244–248 (1990)
KUMAR, M. S., SANDEEP, N., and KUMAR, B. R. Three-dimensional magnetohydrodynamic rotating flow past a stretched surface with cross diffusion. Chinese Journal of Physics, 55(6), 2407–2421 (2017)
HAYAT, T., ZAHIR, H., ALSAEDI, A., and AHMAD, B. Heat transfer analysis on peristaltic transport of Ree-Eyring fluid in rotating frame. Chinese Journal of Physics, 55(5), 1894–1907 (2017)
GORKIN, R., PARK, J., SIEGRIST, J., AMASIA, M., LEE, B. S., PARK, J. M., and CHO, Y. K. Centrifugal microfluidics for biomedical applications. Lab on a Chip, 10(14), 1758–1773 (2010)
WANG, G. J., HSU, W. H., CHANG, Y. Z., and YANG, H. Centrifugal and electric field forces dual-pumping CD-like microfluidic platform for biomedical separation. Biomedical Microdevices, 6(1), 47–53 (2004)
MARTINEZ-DUARTE, R., GORKIN, R. A., ABI-SAMRAB, K., and MADOU, M. J. The integration of 3D carbon-electrode dielectrophoresis on a CD-like centrifugal microfluidic platform. Lab on a Chip, 10(1), 1030–1043 (2010)
BOETTCHER, M., JAEGER, M., RIEGGER, L., DUCREE, J., ZENGERLE, R., and DUSCHL, C. Lab-on-chip-based cell separation by combining dielectrophoresis and centrifugation. Biophysical Reviews Letters, 1(4), 443–451 (2006)
DUFFY, D. C., GILLIS, H. L., LIN, J., SHEPPARD, N. F., and KELLOGG, G. J. Microfabri-cated centrifugal microfluidic systems: characterization and multiple enzymatic assays. Analytical Chemistry, 71(20), 4669–4678 (1999)
CHANG, C. C. and WANG, C. Y. Rotating electro-osmotic flow over a plate or between two plates. Physical Review E, 84, 056320 (2011)
SI, D. Q., JIAN, Y. J., CHANG, L., and LIU, Q. S. Unsteady rotating electroosmotic flow through a slit microchannel. Journal of Mechanics, 32(5), 603–611 (2016)
GHESHLAGHI, B., NAZARIPOOR, H., KUMAR, A., and SADRZADEH, M. Analytical solution for transient electroosmotic flow in a rotating microchannel. RSC Advances, 6(21), 17632–17641 (2016)
XIE, Z. Y. and JIAN, Y. J. Rotating electroosmotic flow of power-law fluids at high zeta potentials. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 461, 231–239 (2014)
NG, C. O. and QI, C. Electro-osmotic flow in a rotating rectangular microchannel. Proceedings of The Royal Society A-Mathematical Physical and Engineering Sciences, 471(2179), 20150200 (2015)
SHIT, G. C., MONDAL, A., SINHA, A., and KUNDU, P. K. Effects of slip velocity on rotating electro-osmotic flow in a slowly varying micro-channel. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 489, 249–255 (2016)
OHSHIMA, H. Electrical phenomena in a suspension of soft particles. Soft Matter, 8(13), 3511–3514 (2012)
BARBATI, A. C. and KIRBY, B. J. Soft diffuse interfaces in electrokinetics — theory and experiment for transport in charged diffuse layers. Soft Matter, 8(41), 10598–10613 (2012)
XING, J. N. and JIAN, Y. J. Steric effects on electroosmotic flow in soft nanochannels. Meccanica, 53(1/2), 135–144 (2018)
DONATH, E. and VOIGT, E. Streaming current and streaming potential on structured surfaces. Journal of Colloid and Interface Science, 109(1), 122–139 (1986)
ZHANG, H., TIAN, Y., and JIANG, L. From symmetric to asymmetric design of bio-inspired smart single nanochannels. Chemical Communications, 49(86), 10048–10063 (2013)
KALMAN, E. B., VLASSIOUK, I., and SIWY, Z. Nanofluidic bipolar transistors. Advanced Materials, 20(2), 293–297 (2008)
MATIN, M. H. and OHSHIMA, H. Combined electroosmotically and pressure driven flow in soft nanofluidics. Journal of Colloid and Interface Science, 460, 361–369 (2015)
CHANDA, S., SINHA, S., and DAS, S. Streaming potential and electroviscous effects in soft nanochannels: towards designing more efficient nanofluidic electrochemomechanical energy converters. Soft Matter, 10(38), 7558–7568 (2014)
CHEN, G. and DAS, S. Streaming potential and electroviscous effects in soft nanochannels beyond Debye-Hückel linearization. Journal of Colloid and Interface Science, 445, 357–363 (2015)
HOSHYARGAR, V., KHORAMI, A., ASHRAFIZADEH, S. N., and SADEGHI, A. Solute dispersion by electroosmotic flow through soft microchannels. Sensors and Actuators B: Chemical, 255, 3585–3600 (2017)
SADEGHI, A. Theoretical modeling of electroosmotic flow in soft microchannels: a variational approach applied to the rectangular geometry. Physics of Fluids, 30(3), 032004 (2018)
PANG, Y., KIM, H., LIU, Z. M., and STONE, H. A. A soft microchannel decreases polydispersity of droplet generation. Lab on a Chip, 14(20), 4029–4034 (2014)
LIU, Z. M., WANG, X., CAO, R. T., and PANG, Y. Droplet coalescence at microchannel intersection chambers with different shapes. Soft Matter, 12(26), 5797–5807 (2016)
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Project supported by the National Natural Science Foundation of China (Nos. 11772162 and 11472140), the Inner Mongolia Autonomous Region Grassland Talent (No. 12000-12102013), and the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2016MS0106)
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Liu, Y., Jian, Y. Rotating electroosmotic flows in soft parallel plate microchannels. Appl. Math. Mech.-Engl. Ed. 40, 1017–1028 (2019). https://doi.org/10.1007/s10483-019-2501-8
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DOI: https://doi.org/10.1007/s10483-019-2501-8