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Lattice Boltzmann simulations of vortex entrapment of particles in a microchannel with curved or flat edges

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Abstract

Numerical simulations were conducted to determine the effects of flat-edge and curved-edge channel wall obstacles on the vortex entrapment of uniform-size particles in a microchannel with a T-shape divergent flow zone at different flow Reynolds numbers (Re). Two-particle simulations with a non-pulsating flow indicated that although particles were consistently entrapped in a vortex zone in a microchannel with flat-edge wall obstacles at all Re studied, vortex zone entrapment of particles occurred only at the lowest Re in a microchannel with curved-edge wall obstacles. In a microchannel with flat-edge obstacles, small particles avoided entrapment in vortices in a non-pulsating flow where large particles got trapped. Interparticle and particle–wall repulsive interaction potentials prevented vortex entrapment of particles in a microchannel with flat-edge wall obstacles only at high flow Re, revealing the existence of a threshold inertial force for particle liberation, if combined inertial and repulsive forces are considered in non-pulsating flow simulations. Pulsating flow enhanced the chance for liberation of particles that were otherwise trapped in vortices, but did not always ensure the particle liberation. Simulations with larger particle concentrations demonstrated that the location of particle-trapping vortices varied with changes in particle concentration. Simulation results further demonstrated the significance of particle retaining capabilities of vortices in a T-shape divergent zone within a microchannel.

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References

  • Aidun CK, Lu Y, Ding E-J (1998) Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. J Fluid Mech 373:287–311

    Article  MATH  Google Scholar 

  • Başağaoğlu H, Allwein S, Succi S, Dixon H, Carrola JT Jr, Stothoff S (2013) Two- and three dimensional lattice-Boltzmann simulations of particle migration in microchannels. Microfluid Nanoflud 15(6):785–796

    Article  Google Scholar 

  • Başağaoğlu H, Meakin P, Succi S, Redden GR, Ginn TR (2008) Two-dimensional lattice-Boltzmann simulation of colloid migration in rough-walled narrow flow channels. Phys Rev E 77 art no. 031405

  • Başağaoğlu H, Melchionna S, Succi S, Yakhot V (2012) Fluctuation-dissipation relation from a FLB-BGK model. Europhys Lett 99 art. no. 64001

  • Başağaoğlu H, Succi S (2010) Lattice-Boltzmann simulations of repulsive particle–particle and particle–wall interactions: coughing and choking. J Chem Phys 132 art. no. 134111

  • Bechert DW, Bruse M, Hage W, van der Hoeven JGT, Hoppe G (1997) Experiments on drag reducing surfaces and their optimization with adjustable geometry. J Fluid Mech 338:59–87

    Article  Google Scholar 

  • Benzi R, Succi S, Vergassola M (1992) The lattice-Boltzmann equation: theory and applications. Phys Rep 222:145–197

    Article  Google Scholar 

  • Bhatnagar PL, Gross EP, Krook MA (1954) A model for collision process in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys Rev E 94:511–525

    Article  MATH  Google Scholar 

  • Brennan AB, Baney RH, Carman MI, Estes TG, Feinberg AW, Wilson LH, Schumacher JF (2010) Surface topographies for non-toxic bioadhesion control. United State Patent, US7,650,8484 B2

  • Buick JM, Greated CA (2000) Gravity in a lattice Boltzmann model. Phys Rev E 61:5307–5320

    Article  Google Scholar 

  • Callow JA, Callow MA (2011) Trends in the development of environmentally friendly fouling-resistant marine coatings. Nat Commun 2:244

    Article  Google Scholar 

  • Carlo DD, Irimia D, Tompkins RG, Toner M (2007) Continuous inertial focusing, ordering, and separation of particles in microchannels. PNAS 104:18892–18897

    Article  Google Scholar 

  • Dean B, Bhushan B (2010) Shark-skin surfaces for fluid-drag reduction in turbulent flow: a review. Philos Trans R Soc A 368:4775–4806

    Article  Google Scholar 

  • Derjaguin BV, Landau L (1941) Acta Physicochim. URRS 14:63

    Google Scholar 

  • Ding E-J, Aidun CK (2003) Extension of the lattice-Boltzmann method for direct simulation of suspended particles near contact. J Stat Phys 112:685–708

    Article  MATH  Google Scholar 

  • Feng J, Hu H, Joseph DD (1994) Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid part 1. Sedimentation. J Fluid Mech 261:95–134

    Article  MATH  Google Scholar 

  • Hur SC, Mah AJ, Di Carlo D (2011) High-throughput size-based rare cell enrichment using microscale vortices. Biomicrofluidics 5:022206

    Article  Google Scholar 

  • Kumar YA, Ktraig D, Acharya R, Neethirajan S, Mukherjee P, Retterer S, Doktyez M (2013) Microscale confinement features can affect biofilm formation. Microfluid Nanofluid 14:895–902

    Article  Google Scholar 

  • Ladd AJC (1994) Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J Fluid Mech 271:285–309

    Article  MATH  MathSciNet  Google Scholar 

  • Lukić B, Jeney S, Tischer C, Kulik AJ, Forró L, Floring E-L (2005) Direct observation of nondiffusive motion of a Brownian particle. Phys Rev Lett 95:160601

    Article  Google Scholar 

  • Mills P (1985) Non-Newtonian behavior of flocculated suspensions. J Phys Lett 46:301–309

    Article  Google Scholar 

  • Munshi SR, Modi VJ, Yokomizo T (1999) Fluid dynamics of flat plates and rectangular prisms in the presence of moving surface boundary-layer control. J Wind Eng Ind Aeorodyn 41:205–216

    Google Scholar 

  • Nguyen E-J, Ladd AJC (2002) Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys Rev E 66:046708

    Article  Google Scholar 

  • Poinssot C, Geckeis H (2012) Radionuclide behaviour in the natural environment. Science, implications and lessons for the nuclear industry. Woodhead Publising Limited, Philadelphia, USA

    Book  Google Scholar 

  • Qian YH, D’Humieres D, Lallemand P (1992) Lattice BGK models for Navier–Stokes equation. Europhys Lett 17:479–484

    Article  MATH  Google Scholar 

  • Schumacher JF, Long CJ, Callow ME, Finlay JA, Callow JA, Brennan AB (2008) Engineered nanoforce gradients for inhibition of settlement (attachment) of swimming algal spores. Langmuir 249(9):4931–4937

    Article  Google Scholar 

  • Succi S (2001) The lattice-Boltzmann equation. Oxford University Press, New York

    MATH  Google Scholar 

  • Torkzaban S, Tazekhand SS, Walker SL, Bradford SA (2008) Transport and fate of bacteria in porous media: Coupled effects of chemical conditions and pore space geometry. Water Resour Res 44:W04403

    Article  Google Scholar 

  • Verwey EJ, Overbeek JTG (1948) Theory of the stability ofd lyophobic colloids. Elsevier, Amsterdam

    Google Scholar 

  • Wan D, Turek S (2007) An efficient multigrid-FEM method for simulation of solid–liquid two phase flows. J Comput Appl Math 203:561–580

    Article  MATH  MathSciNet  Google Scholar 

  • Wang Y, Wang H, Chen Y, Liu X, Jin Q, Ji J (2013) Biomimetic pseudopolyrotaxane prodrug micelles with high drug content for intracellular drug delivery. Chem Commun 49(64):7123–7125

    Article  Google Scholar 

  • Wolf-Gladrow DA (2000) Lattice-gas cellular automata and lattice Boltzmann model. Springer, Berlin

    Book  Google Scholar 

  • Zhou Y, Kasper S, Papautsky I (2013) Enhanced size-dependent trapping of particles using microvortices. Microfluid Nanoflud 15(5):611–623

    Article  Google Scholar 

Download references

Acknowledgments

Funding for this research was provided by the Southwest Research Institute’s Internal Research and Development Program, 20R-8305. The authors thank Miriam R. Juckett of Southwest Research Institute for reviewing the manuscript.

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Correspondence to Hakan Başağaoğlu.

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Başağaoğlu, H., Carrola, J.T., Freitas, C.J. et al. Lattice Boltzmann simulations of vortex entrapment of particles in a microchannel with curved or flat edges. Microfluid Nanofluid 18, 1165–1175 (2015). https://doi.org/10.1007/s10404-014-1509-5

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  • DOI: https://doi.org/10.1007/s10404-014-1509-5

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