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Numerical investigation on the efficient mixing of overbridged split-and-recombine micromixer at low Reynolds number

  • Muchuan He
  • Wei Li
  • MinQing Zhang
  • Jinli ZhangEmail author
Technical Paper
  • 16 Downloads

Abstract

It is promising to design a novel structured micromixer that can be easily processed but also exhibit high mixing efficiency as well as low pressure drop at a wide range of Reynolds numbers. The overbridged structure was introduced into the planner E-shape micromixers for the first time to construct a novel kind of bridge-street structure micromixer, in order to improve the mixing efficiency in the wide range of Reynolds number. We investigated numerically the mixing performance of six overbridged E-shape split-and-recombine micromixers via solving 3D Navier–Stokes equations and adopting species transfer model. It is indicated that at lower Reynolds number the tilted interface in the overbridged channel increases the interfacial area and improves the mass transfer efficiency, while at higher Reynolds number the overbridged channels tend to induce vortices and promote the convective diffusion. The results show that the optimal overbridged micromixer DBEM-3 has excellent mixing efficiency exceeding 95% in the range of Re = 0.5–100. The optimal structure of overbridged micromixer was studied further with different viscosity ratio and power law fluid. In addition, the pressure drop under various Reynolds number was calculated, and the pressure drop of the power law fluid was represented by Euler number to reflect the magnitude of the momentum loss rate. It is illustrated that DBEM-3 has excellent mixing efficiency in wide Reynolds number for three different fluid systems, which has promising applications in the biochemistry analysis or mixing systems.

Abbreviations

DBEM-3

Double-bridge E-shape micromixer

UDF

User defining function

M

Mixing efficiency

SAR

Split-and-recombine

List of symbols

\({\text{L}}_{in}\)

Inlet length, μm

\({\text{L}}_{out}\)

Outlet length, μm

\(L\)

Total length, μm

\(w\)

The width of E-shape sub channel, μm

\(W\)

The width of E-shape unit, μm

\({\text{H}}\)

The height of overbridged channel, μm

\({\text{P}}_{i}\)

The distance of adjoining units, μm

\({\text{C}}_{i}\)

Mass fraction of a component at a sample point i

\({\text{C}}_{m}\)

Mean mass fraction of a component at a certain cross section

\({\text{D}}\)

Diffusion coefficient of a component, m2/s

\(\Delta {\text{P}}\)

Pressure drop, Pa

\({\text{u}}\)

Fluid velocity of main channel, m/s

\({\text{k}}\)

Consistency index, Pa s–n

\({\text{n}}\)

Rheological index

\({\text{Eu}}\)

Euler number

\({\text{Re}}\)

Reynolds number

Greek letters

\(\mu_{i}\)

Fluid viscosity of species i, kg/m s

\(\rho\)

Fluid density, kg/m3

\(\sigma\)

Standard deviation

\(\sigma_{\hbox{max} }\)

Maximum standard deviation

\(\gamma_{ij}\)

The fluid shear rate in the direction j on plane i, Pa

\(\gamma\)

The local shear rate, Pa

\(\gamma_{0}\)

The average shear rate, Pa

Notes

Acknowledgements

This work was financially supported by the National Natural Science Foundation of China (Nos. 21776179, 21621004), and Program for Chang Jiang Scholars and Innovative Research Team in University (No. IRT_15R46).

References

  1. AA Al-Halhouli, Demming S, Waldschik A, Büttgenbach S (2014) Implementation of synchronous micromotor in developing integrated microfluidic systems. Micromachines 5:442–456.  https://doi.org/10.3390/mi5030442 CrossRefGoogle Scholar
  2. Afzal A, Kim K-Y (2014) Flow and mixing analysis of non-Newtonian fluids in straight and serpentine microchannels. Chem Eng Sci 116:263–274.  https://doi.org/10.1016/j.ces.2014.05.021 CrossRefGoogle Scholar
  3. Afzal A, Kim K-Y (2015) Convergent–divergent micromixer coupled with pulsatile flow. Sens Actuators B Chem 211:198–205.  https://doi.org/10.1016/j.snb.2015.01.062 CrossRefGoogle Scholar
  4. Ahmadian Yazdi A, Sadeghi A, Saidi MH (2014) Rheology effects on cross-stream diffusion in a Y-shaped micromixer. Colloid Surf A 456:296–306.  https://doi.org/10.1016/j.colsurfa.2014.05.021 CrossRefGoogle Scholar
  5. Alam A, Afzal A, Kim K-Y (2014) Mixing performance of a planar micromixer with circular obstructions in a curved microchannel. Chem Eng R&D 92:423–434.  https://doi.org/10.1016/j.cherd.2013.09.008 CrossRefGoogle Scholar
  6. Ansari MA, Kim K-Y (2010) Mixing performance of unbalanced split and recombine micomixers with circular and rhombic sub-channels. Chem Eng J 162:760–767.  https://doi.org/10.1016/j.cej.2010.05.068 CrossRefGoogle Scholar
  7. Bordbar A, Taassob A, Kamali R (2018a) Diffusion and convection mixing of non-Newtonian liquids in an optimized micromixer. J Chem Eng Can.  https://doi.org/10.1002/cjce.23113 Google Scholar
  8. Bordbar A, Taassob A, Zarnaghsh A, Kamali R (2018b) Slug flow in microchannels: numerical simulation and applications. J Ind Eng Chem 62:26–39.  https://doi.org/10.1016/j.jiec.2018.01.021 CrossRefGoogle Scholar
  9. Bottausci F, Cardonne C, Loire S, Mezi I, Meinhart C (2003) Shear superposition micromixer: 3-D analysis. Am Soc Mech Eng Micro Electromech Syst Div Publ MEMS 5:435–444.  https://doi.org/10.1098/rsta.2003.1359 Google Scholar
  10. Buchegger W, Wagner C, Lendl B, Kraft M, Vellekoop MJ (2010) A highly uniform lamination micromixer with wedge shaped inlet channels for time resolved infrared spectroscopy. Microfluid Nanofluid 10:889–897.  https://doi.org/10.1007/s10404-010-0722-0 CrossRefGoogle Scholar
  11. Cai G, Xue L, Zhang H, Lin J (2017) A review on micromixers. Micromachines 8:274.  https://doi.org/10.3390/mi8090274 CrossRefGoogle Scholar
  12. Carrier O, Funfschilling D, Debas H, Poncin S, Löb P, Li H-Z (2013) Pressure drop in a split-and-recombine caterpillar micromixer in case of newtonian and non-Newtonian fluids. AIChE J 59:2679–2685.  https://doi.org/10.1002/aic.14035 CrossRefGoogle Scholar
  13. Chen X, Li T (2017) A novel passive micromixer designed by applying an optimization algorithm to the zigzag microchannel. Chem Eng J 313:1406–1414.  https://doi.org/10.1016/j.cej.2016.11.052 CrossRefGoogle Scholar
  14. Chen X, Shen J (2016) Numerical and experimental investigation on splitting-and-recombination micromixer with E-shape mixing units. Microsyst Technol 23:4671–4677.  https://doi.org/10.1007/s00542-016-3208-5 CrossRefGoogle Scholar
  15. Chen X, Shen J (2017) Numerical analysis of mixing behaviors of two types of E-shape micromixers. Int J Heat Mass Transf 106:593–600.  https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.034 CrossRefGoogle Scholar
  16. Cheng NS (2008) Formula for the viscosity of a glycerol–water mixture. Ind Eng Chem Res 47:3285–3288.  https://doi.org/10.1021/ie071349z CrossRefGoogle Scholar
  17. Feng X, Ren Y, Jiang H (2013) An effective splitting-and-recombination micromixer with self-rotated contact surface for wide Reynolds number range applications. Biomicrofluidics 7:54121.  https://doi.org/10.1063/1.4827598 CrossRefGoogle Scholar
  18. Galletti C, Brunazzi E, Mauri R (2017) Unsteady mixing of binary liquid mixtures with composition-dependent viscosity. Chem Eng Sci 164:333–343.  https://doi.org/10.1016/j.ces.2017.02.035 CrossRefGoogle Scholar
  19. Hossain S, Kim K-Y (2015) Mixing analysis in a three-dimensional serpentine split-and-recombine micromixer. Chem Eng Res Des 100:95–103.  https://doi.org/10.1016/j.cherd.2015.05.011 CrossRefGoogle Scholar
  20. Le The H, Le Thanh H, Dong T, Ta BQ, Tran-Minh N, Karlsen F (2015) An effective passive micromixer with shifted trapezoidal blades using wide Reynolds number range. Chem Eng Res Des 93:1–11.  https://doi.org/10.1016/j.cherd.2014.12.003 CrossRefGoogle Scholar
  21. Li X, Chang H, Liu X, Ye F, Yuan W (2015) A 3-D overbridge-shaped micromixer for fast mixing over a wide range of Reynolds numbers. J Microelectromech Syst 24:1391–1399.  https://doi.org/10.1109/JMEMS.2015.2403472 CrossRefGoogle Scholar
  22. Lin Y (2015) Numerical characterization of simple three-dimensional chaotic micromixers. Chem Eng J 277:303–311.  https://doi.org/10.1016/j.cej.2015.04.123 CrossRefGoogle Scholar
  23. Liu RH, Stremler MA, Sharp KV (2000) Passive mixing in a three-dimensional serpentine microchannel. J Microelectromech Syst 9(2):190–197.  https://doi.org/10.1109/84.846699 CrossRefGoogle Scholar
  24. Liu K, Yang Q, Chen F, Zhao Y, Meng X, Shan C, Li Y (2015) Design and analysis of the cross-linked dual helical micromixer for rapid mixing at low Reynolds numbers. Microfluid Nanofluid 19:169–180.  https://doi.org/10.1007/s10404-015-1558-4 CrossRefGoogle Scholar
  25. Lobasov AS, Minakov AV (2018) Analyzing mixing quality in a T-shaped micromixer for different fluids properties through numerical simulation. Chem Eng Process 124:11–23.  https://doi.org/10.1016/j.cep.2017.11.004 CrossRefGoogle Scholar
  26. Rashidi S, Bafekr H, Valipour MS, Esfahani JA (2018) A review on the application, simulation, and experiment of the electrokinetic mixers. Chem Eng Process 126:108–122.  https://doi.org/10.1016/j.cep.2018.02.021 CrossRefGoogle Scholar
  27. Rasponi M et al (2015) Lab-on-chip for testing myelotoxic effect of drugs and chemicals. Microfluid Nanofluid 19:935–940.  https://doi.org/10.1007/s10404-015-1622-0 CrossRefGoogle Scholar
  28. Raza W, Hossain S, Kim K-Y (2017) Effective mixing in a short serpentine split-and-recombination micromixer. Chem, Sens Actuator B.  https://doi.org/10.1016/j.snb.2017.11.135 Google Scholar
  29. Sadegh Cheri M, Latifi H, Salehi Moghaddam M, Shahraki H (2013) Simulation and experimental investigation of planar micromixers with short-mixing-length. Chem Eng J 234:247–255.  https://doi.org/10.1016/j.cej.2013.08.067 CrossRefGoogle Scholar
  30. Sahu KC, Govindarajan R (2016) Linear stability analysis and direct numerical simulation of two-layer channel flow. J Fluid Mech 798:889–909.  https://doi.org/10.1017/jfm.2016.346 MathSciNetCrossRefGoogle Scholar
  31. Scherr T et al (2012) A planar microfluidic mixer based on logarithmic spirals. J Micromech Microeng 22:55019.  https://doi.org/10.1088/0960-1317/22/5/055019 CrossRefGoogle Scholar
  32. Srisamran C, Devahastin S (2006) Numerical simulation of flow and mixing behavior of impinging streams of shear-thinning fluids. Chem Eng Sci 61:4884–4892.  https://doi.org/10.1016/j.ces.2006.03.031 CrossRefGoogle Scholar
  33. Tran-Minh N, Dong T, Karlsen F (2014) An efficient passive planar micromixer with ellipse-like micropillars for continuous mixing of human blood. Comput Meth Progr Biomed 117:20–29.  https://doi.org/10.1016/j.cmpb.2014.05.007 CrossRefGoogle Scholar
  34. Viktorov V, Nimafar M (2013) A novel generation of 3D SAR-based passive micromixer: efficient mixing and low pressure drop at a low Reynolds number. J Micromech Microeng 23:055023.  https://doi.org/10.1088/0960-1317/23/5/055023 CrossRefGoogle Scholar
  35. Viktorov V, Mahmud MR, Visconte C (2016) Design and characterization of a new H-C passive micromixer up to Reynolds number 100. Chem Eng Res Des 108:152–163.  https://doi.org/10.1016/j.cherd.2015.12.005 CrossRefGoogle Scholar
  36. Wu Z, Nguyen NT (2005) Hydrodynamic focusing in microchannels under consideration of diffusive dispersion: theories and experiments. Sensors Actuators B Chem 107:965–974.  https://doi.org/10.1016/j.snb.2004.11.014 CrossRefGoogle Scholar
  37. Wu C, Tang K, Gu B, Deng J, Liu Z, Wu Z (2016) Concentration-dependent viscous mixing in microfluidics: modelings and experiments. Microfluid Nanofluid 20:90.  https://doi.org/10.1007/s10404-016-1755-9 CrossRefGoogle Scholar
  38. Xia HM, Wan SY, Shu C, Chew YT (2005) Chaotic micromixers using two-layer crossing channels to exhibit fast mixing at low Reynolds numbers. Lab Chip 5:748–755.  https://doi.org/10.1039/b502031j CrossRefGoogle Scholar
  39. Yaralioglu GG, Wygant IO, Marentis TC, Khuri-Yakub BT (2004) Ultrasonic mixing in microfluidic channels using integrated transducers. Anal Chem 76:3694–3698CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Chemical Engineering and TechnologyTianjin UniversityTianjinPeople’s Republic of China
  2. 2.School of Chemistry and Chemical EngineeringShihezi UniversityShiheziPeople’s Republic of China

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