Restricted accessResearch articleFirst published online 2021
Numerical assessment of hydrodynamic and mixing characteristics for mixed electroosmotic and pressure-driven flow through a wavy microchannel with patchwise surface heterogeneity
The micromixing of two fluids plays a vital role in lab-on-a-chip devices. For obtaining better mixing efficiency, we propose a micromixer using patchwise surface potential heterogeneity and wavy wall. We numerically investigate the hydrodynamic and mixing characteristics for flow through a microchannel with a straight top wall and wavy bottom wall. The primary flow is actuated by an external pressure-gradient and patches are placed at the top wall with positive zeta potential, such that the reversed electroosmotic actuation forms the recirculation zones close to the top wall. The streamlines, flow velocity, recirculation zone velocity, species concentration, flow rate, and mixing efficiency are investigated by varying the relative pressure-gradient strength, Debye parameter, zeta potential and wavy surface amplitude. Two different configurations are considered by placing the patches at the top wall, opposite to the peaks and valleys of the bottom wavy surface, respectively. It reveals that the recirculation zone velocity increases with the increase in both Debye parameter and surface amplitude, whereas it decreases with relative pressure-gradient strength near the patch surfaces. The flow rate decreases with the increase in zeta potential and we also identify the values of zeta potential for chocking of flow in the microchannel. It reveals that the mixing efficiency monotonically increases with surface amplitude, and the variation with zeta potential is non-monotonic. We also identify the range of zeta potential for which the value of mixing efficiency is higher than 90% for different configurations of the channel.
BasatiYMohammadipourORNiazmandH. Numerical investigation and simultaneous optimization of geometry and zeta-potential in electroosmotic mixing flows. Int J Heat Mass Transfer2019; 133: 786–799.
2.
ChenCKChoCC. Electrokinetically-driven flow mixing in microchannels with wavy surface. J Colloid Interface Sci2007; 312: 470–480.
3.
KastaniaASTsougeniKPapadakisG, et al.Plasma micro-nanotextured polymeric micromixer for DNA purification with high efficiency and dynamic range. Anal Chim Acta2016; 942: 58–67.
4.
JohannRRenaudP. A simple mechanism for reliable particle sorting in a microdevice with combined electroosmotic and pressure-driven flow. Electrophoresis2004; 25: 3720–3729.
5.
ChangHTChenHSHsiehMM, et al.Electrophoretic separation of DNA in the presence of electroosmotic flow. Rev Anal Chem2000; 19: 45–74.
6.
ArangoaMACampaneroMAPopineauY, et al.Electrophoretic separation and characterisation of gliadin fractions from isolates and nanoparticulate drug delivery systems. Chromatographia1999; 50: 243–246.
7.
LeeCYChangCLWangYN, et al.Microfluidic mixing: a review. Int J Mol Sci2011; 12: 3263–3287.
8.
HossainSLeeIKimSM, et al.A micromixer with two-layer serpentine crossing channels having excellent mixing performance at low Reynolds numbers. Chem Eng J2017; 327: 268–277.
9.
MondalBPatiSPatowariPK. Analysis of mixing performances in microchannel with obstacles of different aspect ratios. Proc Inst Mech Eng Part E J Process Mech Eng2019; 233: 1045–1051.
10.
MondalBMehtaSKPatowariPK, et al.Numerical study of mixing in wavy micromixers: comparison between raccoon and serpentine mixer. Chem Eng Process –Process Intens2019; 136: 44–61.
XiaZMeiRSheplakM, et al.Electroosmotically driven creeping flows in a wavy microchannel. Microfluid Nanofluidics2009; 6: 37–52.
13.
BagNBhattacharyyaS. Electroosmotic flow of a non-Newtonian fluid in a microchannel with heterogeneous surface potential. J Non-Newtonian Fluid Mech2018; 259: 48–60.
14.
GaikwadHSKumarGMondalPK. Efficient electroosmotic mixing in a narrow-fluidic channel: the role of a patterned soft layer. Soft Matter2020; 16: 6304–6316.
15.
BanerjeeANayakAK. Influence of varying zeta potential on non-Newtonian flow mixing in a wavy patterned microchannel. J Non-Newtonian Fluid Mech2019; 269: 17–27.
16.
MehtaSKPatiS. Effect on non-uniform heating on heat transfer characteristics in wavy channel. In: Proceedings of the 5 th International Conference on Computational Methods for Thermal Problems, IISc Bangalore, INDIA. 2018, pp. 498–501.
17.
PatiSMehtaSKBorahA. Numerical investigation of thermo-hydraulic transport characteristics in wavy channels: comparison between raccoon and serpentine channels. Int Commun Heat Mass Transfer2017; 88: 171–176.
18.
TripathiEPatowariPKPatiS. Comparative assessment of mixing characteristics and pressure drop in spiral and serpentine micromixers. Chem Eng Process – Process Intens2021; 162: 108335.
19.
TripathiEPatowariPPatiS. Numerical investigation of mixing performance in spiral micromixers based on Dean flows and chaotic advection. Chem Eng Process – Process Intens2021; 169: 108609.
20.
Tabeling P. Introduction to microfluidics. Paris: Oxford University Press, 2005.
21.
JaliliHRaadMFallahDA. Numerical study on the mixing quality of an electroosmotic micromixer under periodic potential. Proc Inst Mech Eng Part C J Mech Eng Sci2020; 234: 2113–2125.
22.
MondalPKWongwisesS. Magneto-hydrodynamic (MHD) micropump of nanofluids in a rotating microchannel under electrical double-layer effect. Proc Inst Mech Eng Part E J Process Mech Eng2020; 234: 318–330.
23.
GaikwadHSMondalPKBasuDN, et al.Analysis of the effects of Joule heating and viscous dissipation on combined pressure-driven and electrokinetic flows in a two-parallel plate channel with unequal constant temperatures. Proc Inst Mech Eng Part E J Process Mech Eng2018; 233: 871–879.
24.
KimKKwakHSSongTH. A numerical model for simulating electroosmotic micro-and nanochannel flows under non-Boltzmann equilibrium. Fluid Dyn Res2011; 43: 041401.
25.
Marroquin-DesentisJMéndezFBautistaO. Viscoelectric effect on electroosmotic flow in a cylindrical microcapillary. Fluid Dyn Res2016; 48: 035503.
26.
MasilamaniKGangulySFeichtingerC, et al.Hybrid lattice-Boltzmann and finite-difference simulation of electroosmotic flow in a microchannel. Fluid Dyn Res2011; 43: 025501.
27.
WangWChanYCLeeYK. Biased reptation model with electroosmosis for DNA electrophoresis in microchannels with a sub-micron pillar array. J Micromech Microeng2011; 21: 085031.
28.
Banerjee D, Mehta SK, Pati S, et al. Analytical solution to heat transfer for mixed electroosmotic and pressure-driven flow through a microchannel with slip-dependent zeta potential. Int J Heat Mass Transfer 2021; 181: 121989.
29.
DeyRGhongeTChakrabortyS. Steric-effect-induced alteration of thermal transport phenomenon for mixed electroosmotic and pressure driven flows through narrow confinements. Int J Heat Mass Transfer2013; 56: 251–262.
30.
NgCO. Combined pressure-driven and electroosmotic flow of Casson fluid through a slit microchannel. J Non-Newtonian Fluid Mech2013; 198: 1–9.
31.
ChoCCChenCLChenCK. Characteristics of combined electroosmotic flow and pressure-driven flow in microchannels with complex-wavy surfaces. International Journal of Thermal Sciences2012; 61: 94–105.
32.
EbrahimiSHasanzadeh-barforoushiANejatA, et al.International journal of heat and mass transfer numerical study of mixing and heat transfer in mixed electroosmotic / pressure driven flow through T-shaped microchannels. Int J Heat Mass Transfer2014; 75: 565–580.
33.
MehtaSKPatiSMondalPK. Numerical study of the vortex induced electroosmotic mixing of non-Newtonian biofluids in a non-uniformly charged wavy microchannel: effect of finite ion size. Electrophoresis2021. https://doi.org/10.1002/elps.202000225
34.
HadigolMNosratiRNourbakhshA, et al.Numerical study of electroosmotic micromixing of non-Newtonian fluids. J Non-Newtonian Fluid Mech2011; 166: 965–971.
35.
BiddissEEricksonDLiD. Heterogeneous surface charge enhanced micro-mixer for electrokinetic flows. Proceedings of the Second International Conference on Microchannels and Minichannels (ICMM2004)2004; 76: 869–874.
36.
HauWLWTrauDWSucherNJ, et al.Surface-chemistry technology for microfluidics. J Micromech Microeng2003; 13: 272–278.
37.
ChungCCGlawdelTRenCL, et al.Combination of ac electroosmosis and dielectrophoresis for particle manipulation on electrically-induced microscale wave structures. J Micromech Microeng2015; 25: 035003.
38.
BhattacharyyaSBeraS. Combined electroosmosis-pressure driven flow and mixing in a microchannel with surface heterogeneity. Appl Math Model2015; 39: 4337–4350.
39.
NayakAKBanerjeeAWeigandB. Mixing and charge transfer in a nanofluidic system due to a patterned surface. Appl Math Model2018; 54: 483–501.
40.
BanerjeeANayakAKHaqueA, et al.Induced mixing electrokinetics in a charged corrugated nano-channel: towards a controlled ionic transport. Microfluid Nanofluidics2018; 22: 1–21.
41.
MasilamaniKGangulySFeichtingerC, et al.Effects of surface roughness and electrokinetic heterogeneity on electroosmotic flow in microchannel. Fluid Dyn Res2015; 47: 035505.
42.
PeraltaMArcosJMéndezF, et al.Oscillatory electroosmotic flow in a parallel-plate microchannel under asymmetric zeta potentials. Fluid Dyn Res2017; 49: 035514.
43.
MondalBMehtaSKPatiS, et al.Numerical analysis of electroosmotic mixing in a heterogeneous charged micromixer with obstacles. Chem Eng Process -– Process Intens2021; 168: 108585.
44.
Johnson TJ, Ross D and Locascio LE. Rapid Microfluidic Mixing. Anal Chem 2002; 74: 45–51.
45.
MehtaSKPatiS. Numerical study of thermo-hydraulic characteristics for forced convective flow through wavy channel at different Prandtl numbers. J Therm Anal Calorim2020; 141: 2429–2451.
46.
EricksonDLiD. Influence of surface heterogeneity on electrokinetically driven microfluidic mixing. Langmuir2002; 18: 1883–1892.
47.
Ahmed F and Kim KY. Parametric study of an electroosmotic micromixer with heterogeneous charged surface patches. Micromachines 2017; 8: 199.
48.
HuysmansMDassarguesA. Review of the use of Péclet numbers to determine the relative importance of advection and diffusion in low permeability environments. Hydrogeology Journal2005; 13: 895–904.
49.
PatiS. A textbook on fluid mechanics and hydraulic machines. New Delhi: McGraw-Hill Education (India) Pvt. Ltd., 2012.
50.
COMSOL Multiphysics® v. 5.2. www.comsol.com. COMSOL AB, Stockholm, Sweden.
51.
NithiarasuPLewisRWSeetharamuKN. Fundamentals of the Finite Element method for Heat and Mass Transfer. New Delhi: John Wiley & Sons Ltd., 2016.
52.
MehtaSKPatiSAhmedS, et al.Analysis of thermo-hydraulic and entropy generation characteristics for flow through ribbed-wavy channel. Int J Num Methods Heat Fluid Flow2021. https://doi.org/10.1108/HFF-01-2021-005
53.
MehtaSKPatiS. Analysis of thermo-hydraulic performance and entropy generation characteristics for laminar flow through triangular corrugated channel. J Therm Anal Calorim2019; 136: 49–62.
54.
ZhaoCZholkovskijEMasliyahJH, et al.Analysis of electroosmotic flow of power-law fluids in a slit microchannel. J Colloid Interface Sci2008; 326: 503–510.
55.
HatchAKamholzAEHolmanG, et al.A ferrofluidic magnetic micropump. J Microelectromech Syst2001; 10: 215–221.
56.
HunterRJ. Zeta potential in colloid science. London: Academic Press, 1981.
57.
WrightPBListerASDorseyJG. Behavior and Use of nonaqueous media without supporting electrolyte in capillary electrophoresis and capillary electrochromatography. Anal Chem1997; 69: 3251–3259.
58.
WuHYLiuCH. A novel electrokinetic micromixer. Sens Actuators, A2005; 118: 107–115.
59.
PabiSMehtaSKPatiS. Analysis of thermal transport and entropy generation characteristics for electroosmotic flow through a hydrophobic microchannel considering viscoelectric effect. Int Commun Heat Mass Transfer2021; 127: 105519.
60.
KilicMSBazantMZAjdariA. Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging. Phys Rev E2007; 75: 021502.
61.
BanHLinBSongZ. Effect of electrical double layer on electric conductivity and pressure drop in a pressure-driven microchannel flow. Biomicrofluidics2010; 4: 014104.
62.
ChenAWuDJohnsonCS. Determination of the binding isotherm and size of the bovine serum albumin-sodium dodecyl sulfate complex by diffusion-ordered 2D NMRJ Phys Chem1995; 99: 828–834.
63.
De GraafRABeharKL. Quantitative 1H NMR spectroscopy of blood plasma metabolites. Anal Chem2003; 75: 2100–2104.
64.
JimenezEEscandónJMéndezF, et al.Combined viscoelectric and steric effects on the electroosmotic flow in a microchannel under induced high zeta potentials. Colloids Surf, A2017; 531: 221–233.
65.
GaikwadHSMondalPK. Mixing in a rotating soft microchannel under electrical double layer effect: a variational calculus approach. Phys Fluids2021; 33: 062011.
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