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Effect of the shape of microswimmers and slip boundary conditions on the dynamic characteristics of near-wall microswimmers

Published online by Cambridge University Press:  14 November 2024

Geng Guan Open the ORCID record for Geng Guan [Opens in a new window] ,
Yuxiang Ying  and
Jianzhong Lin Open the ORCID record for Jianzhong Lin [Opens in a new window]
Geng Guan
Affiliation:
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, PR China
Yuxiang Ying
Affiliation:
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, PR China
Jianzhong Lin*
Affiliation:
State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, PR China Zhejiang Provincial Engineering Research Center for the Safety of Pressure Vessel and Pipeline, Ningbo University, Ningbo 315211, PR China
*
† Email address for correspondence: [email protected]
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Abstract

Although the interaction between microswimmers and walls during near-wall swimming has been extensively studied, the effect of microswimmer shapes and slip boundary conditions on the dynamic characteristics of near-wall microswimmers has received less attention. In this study, elliptical microswimmer models have been developed with various aspect ratios based on circular microswimmers. The lattice Boltzmann method has been used for the numerical simulation of the dynamic behaviour of microswimmers near walls. Under slip boundary conditions, the escape or capture of microswimmers by the walls is influenced by the swimming Reynolds number (Res), wall slip length (ls) and the aspect ratio (Cab) of a microswimmer. Changes in the Cab value of a microswimmer considerably affect its swimming state, especially for puller-type microswimmers. The tendency of pullers to be captured by the wall increases with increasing Cab. Moreover, changes in ls within the slip boundary condition of a puller can induce a transition in its movement state from a wall oscillation state to a stable sliding state and eventually to a wall lock-up state, a process influenced by the Cab value of the puller. Pusher-type microswimmers show a considerably increased tendency to escape from walls with increasing Cab and no wall lock-up state is observed, which is opposite to the case of pullers. Pushers and pullers show an increased tendency to be captured by the wall with increasing initial swimming angle of the microswimmer. The findings of this study enhance our understanding of the swimming patterns of natural microswimmers near walls and are of substantial importance for the design of artificial microswimmers and microfluidic devices.

JFM classification

Biological Fluid Dynamics: Swimming/flying Boundary Layers: Boundary layer control Biological Fluid Dynamics: Propulsion
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 999 , 25 November 2024 , A42
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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References

Aidun, C.K., Lu, Y. & Ding, E.J. 1998 Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. J. Fluid Mech. 373, 287–311.CrossRefGoogle Scholar
Ashtari, O., Pourjafar-Chelikdani, M., Gharali, K. & Sadeghy, K. 2022 Peristaltic transport of elliptic particles: a numerical study. Phys. Fluids 34 (2), 023314.CrossRefGoogle Scholar
Bechinger, C., Di Leonardo, R., Löwen, H., Reichhardt, C., Volpe, G. & Volpe, G. 2016 Active particles in complex and crowded environments. Rev. Mod. Phys. 88 (4), 045006.CrossRefGoogle Scholar
Blake, J.R. 1971 a A spherical envelope approach to ciliary propulsion. J. Fluid Mech. 46 (1), 199–208.CrossRefGoogle Scholar
Blake, J.R. 1971 b Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number. Bull. Austral. Math. Soc. 5 (2), 255–264.CrossRefGoogle Scholar
Bunea, A.I. & Taboryski, R. 2020 Recent advances in microswimmers for biomedical applications. Micromachines 11 (12), 1048.CrossRefGoogle ScholarPubMed
Chaithanya, K.V. & Thampi, S.P. 2021 Wall-curvature driven dynamics of a microswimmer. Phys. Rev. Fluids 6 (8), 083101.Google Scholar
Chen, L., et al. 2021 Cost-effective, high-yield production of biotemplated catalytic tubular micromotors as self-propelled microcleaners for water treatment. ACS Appl. Mater. Interfaces 13 (26), 31 226–31 235.CrossRefGoogle ScholarPubMed
Choi, C.H., Westin, K.J.A. & Breuer, K.S. 2003 Apparent slip flows in hydrophilic and hydrophobic microchannels. Phys. Fluids 15 (10), 2897–2902.CrossRefGoogle Scholar
Cottin-Bizonne, C., Cross, B., Steinberger, A. & Charlaix, E. 2005 Boundary slip on smooth hydrophobic surfaces: intrinsic effects and possible artifacts. Phys. Rev. Lett. 94 (5), 056102.CrossRefGoogle ScholarPubMed
De Corato, M., Greco, F. & Maffettone, P.L. 2015 Locomotion of a microorganism in weakly viscoelastic liquids. Phys. Rev. E 92 (5), 053008.CrossRefGoogle ScholarPubMed
Denissenko, P., Kantsler, V., Smith, D.J. & Kirkman-Brown, J. 2012 Human spermatozoa migration in microchannels reveals boundary-following navigation. Proc. Natl Acad. Sci. USA 109 (21), 8007–8010.CrossRefGoogle ScholarPubMed
Dey, P., Saha, S.K. & Chakraborty, S. 2020 Confluence of channel dimensions and groove width dictates slippery hydrodynamics in grooved hydrophobic confinements. Microfluid Nanofluid 24, 1–15.CrossRefGoogle Scholar
Di Leonardo, R., Dell'Arciprete, D., Angelani, L. & Iebba, V. 2011 Swimming with an image. Phys. Rev. Lett. 106 (3), 038101.CrossRefGoogle ScholarPubMed
Drescher, K., Dunkel, J., Cisneros, L.H., Ganguly, S. & Goldstein, R.E. 2011 Fluid dynamics and noise in bacterial cell–cell and cell–surface scattering. Proc. Natl Acad. Sci. USA 108 (27), 10 940–10 945.CrossRefGoogle ScholarPubMed
Dusenbery, D.B. 2009 Living at Micro Scale: The Unexpected Physics of Being Small. Harvard University Press.Google Scholar
Fadda, F., Molina, J.J. & Yamamoto, R. 2020 Dynamics of a chiral swimmer sedimenting on a flat plate. Phys. Rev. E 101 (5), 052608.CrossRefGoogle ScholarPubMed
Ghosh, S. & Poddar, A. 2023 Slippery rheotaxis: new regimes for guiding wall-bound microswimmers. J. Fluid Mech. 967, A14.CrossRefGoogle Scholar
Gibson, R.N., Atkinson, R.J.A. & Gordon, J.D.M. 2007 Inherent optical properties of nonspherical marine-like particles from theory to observation. Oceanogr. Mar. Biol. Annu. Rev. 45, 1–38.Google Scholar
Glowinski, R., Pan, T.W., Hesla, T.I., Joseph, D.D. & Periaux, J. 2001 A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169 (2), 363–426.CrossRefGoogle Scholar
Guan, G. & Lin, J. 2023 Study on the interaction and motion patterns of squirmers swimming in a shear flow. Phys. Fluids 35 (6), 063302.Google Scholar
Guan, G., Lin, J. & Nie, D. 2022 Swimming mode of two interacting squirmers under gravity in a narrow vertical channel. Entropy 24 (11), 1564.CrossRefGoogle Scholar
Guo, W. & Hou, G. 2023 Combined immersed boundary and discrete unified gas kinetic scheme for the motion of an autonomous underwater vehicle model with slip over a solid-liquid interface. Ocean Engng 285, 115322.CrossRefGoogle Scholar
Hu, J., Wysocki, A., Winkler, R.G. & Gompper, G. 2015 Physical sensing of surface properties by microswimmers–directing bacterial motion via wall slip. Sci. Rep. 5 (1), 9586.CrossRefGoogle ScholarPubMed
Huang, D.M., Sendner, C., Horinek, D., Netz, R.R. & Bocquet, L. 2008 Water slippage versus contact angle: a quasiuniversal relationship. Phys. Rev. Lett. 101 (22), 226101.CrossRefGoogle Scholar
Ishikawa, T. & Pedley, T.J. 2007 Diffusion of swimming model microorganisms in a semidilute suspension. J. Fluid Mech. 588, 437–462.CrossRefGoogle Scholar
Ishimoto, K. 2017 Guidance of microswimmers by wall and flow: thigmotaxis and rheotaxis of unsteady squirmers in two and three dimensions. Phys. Rev. E 96 (4), 043103.CrossRefGoogle Scholar
Ishimoto, K. & Gaffney, E.A. 2013 Squirmer dynamics near a boundary. Phys. Rev. E 88 (6), 062702.CrossRefGoogle Scholar
Ishimoto, K., Gaffney, E.A. & Smith, D.J. 2023 Squirmer hydrodynamics near a periodic surface topography. Front. Cell Dev. Biol. 11, 1123446.CrossRefGoogle Scholar
Joseph, P. & Tabeling, P. 2005 Direct measurement of the apparent slip length. Phys. Rev. E 71 (3), 035303.CrossRefGoogle ScholarPubMed
Ketzetzi, S., De Graaf, J., Doherty, R.P. & Kraft, D.J. 2020 Slip length dependent propulsion speed of catalytic colloidal swimmers near walls. Phys. Rev. Lett. 124 (4), 048002.CrossRefGoogle ScholarPubMed
Kinoshita, N., Shiba, K., Inaba, K., Fu, G., Nagasato, C. & Motomura, T. 2016 Flagellar waveforms of gametes in the brown alga Ectocarpus siliculosus. Eur. J. Phycol. 51 (2), 139–148.CrossRefGoogle Scholar
Koch, D.L. & Subramanian, G. 2011 Collective hydrodynamics of swimming microorganisms: living fluids. Annu. Rev. Fluid Mech. 43, 637–659.CrossRefGoogle Scholar
Kuron, M., Stärk, P., Holm, C. & De Graaf, J. 2019 Hydrodynamic mobility reversal of squirmers near flat and curved surfaces. Soft Matt. 15 (29), 5908–5920.CrossRefGoogle ScholarPubMed
Kyoya, K., Matsunaga, D., Imai, Y., Omori, T. & Ishikawa, T. 2015 Shape matters: near-field fluid mechanics dominate the collective motions of ellipsoidal squirmers. Phys. Rev. E 92 (6), 063027.CrossRefGoogle ScholarPubMed
Lallemand, P. & Luo, L.S. 2003 Lattice Boltzmann method for moving boundaries. J. Comput. Phys. 184 (2), 406–421.CrossRefGoogle Scholar
Lauga, E., DiLuzio, W.R., Whitesides, G.M. & Stone, H.A. 2006 Swimming in circles: motion of bacteria near solid boundaries. Biophys. J. 90 (2), 400–412.CrossRefGoogle ScholarPubMed
Lemelle, L., Palierne, J.F., Chatre, E., Vaillant, C. & Place, C. 2013 Curvature reversal of the circular motion of swimming bacteria probes for slip at solid/liquid interfaces. Soft Matt. 9 (41), 9759–9762.CrossRefGoogle Scholar
Li, G. 2023 Slow motion of a sphere near a sinusoidal surface. J. Fluid Mech. 975, A31.CrossRefGoogle Scholar
Li, G.J. & Ardekani, A.M. 2014 Hydrodynamic interaction of microswimmers near a wall. Phys. Rev. E 90 (1), 013010.CrossRefGoogle ScholarPubMed
Li, G., Bensson, J., Nisimova, L., Munger, D., Mahautmr, P., Tang, J.X. & Brun, Y.V. 2011 Accumulation of swimming bacteria near a solid surface. Phys. Rev. E 84 (4), 041932.CrossRefGoogle Scholar
Lighthill, M.J. 1952 On the squirming motion of nearly spherical deformable bodies through liquids at very small Reynolds numbers. Commun. Pure Appl. Maths 5 (2), 109–118.CrossRefGoogle Scholar
Liu, C., Ouyang, Z. & Lin, J. 2022 Migration and rheotaxis of elliptical squirmers in a Poiseuille flow. Phys. Fluids 34 (10), 103312.CrossRefGoogle Scholar
Lopez, D. & Lauga, E. 2014 Dynamics of swimming bacteria at complex interfaces. Phys. Fluids 26 (7), 071902.CrossRefGoogle Scholar
Magar, V. & Pedley, T.J. 2005 Average nutrient uptake by a self-propelled unsteady squirmer. J. Fluid Mech. 539, 93–112.CrossRefGoogle Scholar
Miki, K. & Clapham, D.E. 2013 Rheotaxis guides mammalian sperm. Curr. Biol. 23 (6), 443–452.CrossRefGoogle ScholarPubMed
More, R.V. & Ardekani, A.M. 2021 Hydrodynamic interactions between swimming microorganisms in a linearly density stratified fluid. Phys. Rev. E 103 (1), 013109.CrossRefGoogle Scholar
Nganguia, H. & Pak, O.S. 2018 Squirming motion in a Brinkman medium. J. Fluid Mech. 855, 554–573.CrossRefGoogle Scholar
Nie, D., Ying, Y., Guan, G., Lin, J. & Ouyang, Z. 2023 Two-dimensional study on the motion and interactions of squirmers under gravity in a vertical channel. J. Fluid Mech. 960, A31.CrossRefGoogle Scholar
Ouyang, Z. & Lin, J. 2021 The hydrodynamics of an inertial squirmer rod. Phys. Fluids 33 (7), 073302.CrossRefGoogle Scholar
Ouyang, Z., Lin, J. & Ku, X. 2018 The hydrodynamic behavior of a squirmer swimming in power-law fluid. Phys. Fluids 30 (8), 083301.CrossRefGoogle Scholar
Poddar, A., Bandopadhyay, A. & Chakraborty, S. 2019 Activated micromotor propulsion by enzyme catalysis in a biofluid medium. Appl. Phys. Lett. 114 (5), 053701.CrossRefGoogle Scholar
Poddar, A., Bandopadhyay, A. & Chakraborty, S. 2020 Near-wall hydrodynamic slip triggers swimming state transition of microorganisms. J. Fluid Mech. 894, A11.CrossRefGoogle Scholar
Qian, Y.H., d'Humières, D. & Lallemand, P. 1992 Lattice BGK models for Navier-Stokes equation. Eur. Lett. 17z (6), 479.CrossRefGoogle Scholar
Samanta, A. 2017 Role of slip on the linear stability of a liquid flow through a porous channel. Phys. Fluids 29 (9), 094103.CrossRefGoogle Scholar
Simmchen, J., Katuri, J., Uspal, W.E., Popescu, M.N., Tasinkevych, M. & Sánchez, S. 2016 Topographical pathways guide chemical microswimmers. Nat. Commun. 7 (1), 10598.CrossRefGoogle ScholarPubMed
Succi, S. 2002 Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis. Phys. Rev. Lett. 89 (6), 064502.CrossRefGoogle ScholarPubMed
Tretheway, D.C. & Meinhart, C.D. 2002 Apparent fluid slip at hydrophobic microchannel walls. Phys. Fluids 14 (3), L9–L12.CrossRefGoogle Scholar
Uspal, W.E., Popescu, M.N., Dietrich, S. & Tasinkevych, M. 2015 Rheotaxis of spherical active particles near a planar wall. Soft Matt. 11 (33), 6613–6632.CrossRefGoogle Scholar
Wang, K., Chai, Z., Hou, G., Chen, W. & Xu, S. 2018 Slip boundary condition for lattice Boltzmann modeling of liquid flows. Comput. Fluids 161, 60–73.CrossRefGoogle Scholar
Ying, Y., Jiang, T., Nie, D. & Lin, J. 2022 Study on the sedimentation and interaction of two squirmers in a vertical channel. Phys. Fluids 34 (10), 103315.CrossRefGoogle Scholar
Zantop, A.W. 2023 Elongated Microswimmers: Influence of Hydrodynamics. TU Berlin.Google Scholar
Zantop, A.W. & Stark, H. 2020 Squirmer rods as elongated microswimmers: flow fields and confinement. Soft Matt. 16 (27), 6400–6412.CrossRefGoogle ScholarPubMed
Zhu, Y. & Granick, S. 2001 Rate-dependent slip of Newtonian liquid at smooth surfaces. Phys. Rev. Lett. 87 (9), 096105.CrossRefGoogle ScholarPubMed
Zöttl, A. & Stark, H. 2013 Periodic and quasiperiodic motion of an elongated microswimmer in Poiseuille flow. Eur. Phys. J. E 36, 1–10.CrossRefGoogle ScholarPubMed