- Access by Xinjiang University
Microorganisms swimming in lyotropic liquid crystal polymers near a wall
Phys. Rev. Fluids 10, 083302 – Published 28 August, 2025
DOI: https://doi.org/10.1103/nyvr-knp8
Abstract
Microorganisms' undulatory swimming in anisotropic fluids near a flat wall has emerged as a key area of interest, driven by the potential to inform the design and fabrication of microdevices through a deeper understanding of their complex behaviors. However, the swimming mechanism has not yet been clarified. To address this gap, we employ asymptotic analysis and numerical study to investigate the dynamics of microswimmers swimming near a wall in lyotropic liquidcrystal polymers at low Reynolds numbers using Doi's Q-tensor model. Our study reveals that infinitely long sheets (i.e., Taylor's swimming sheet model) speed up as they are next to the wall, accompanied by a notable increase in swimming efficiency, surpassing those observed during the free swimming scenario. We demonstrate that stiff finite-length swimmers can gradually reorient themselves and be trapped when close enough to the wall, due to a net hydrodynamic torque induced by the asymmetric distribution of the flow field around the body. These findings suggest that the wall effect is pivotal in microorganisms' swimming performance.
Physics Subject Headings (PhySH)
Article Text
References (46)
- E. Gutman and Y. Or, Symmetries and gaits for Purcell's three-link microswimmer model, IEEE Trans. Rob. 32, 53 (2015).
- U. K. Cheang, D. Roy, J. H. Lee, and M. J. Kim, Fabrication and magnetic control of bacteria-inspired robotic microswimmers, Appl. Phys. Lett. 97, 213704 (2010).
- V. Magdanz, M. Medina-Sánchez, L. Schwarz, H. Xu, J. Elgeti, and O. G. Schmidt, Spermatozoa as functional components of robotic microswimmers, Adv. Mater. 29, 1606301 (2017).
- G. I. Taylor, Analysis of the swimming of microscopic organisms, Proc. R. Soc. London, Ser. A 209, 447 (1951).
- A. Reynolds, The swimming of minute organisms, J. Fluid Mech. 23, 241 (1965).
- S. Bianchi, F. Saglimbeni, and R. Di Leonardo, Holographic imaging reveals the mechanism of Wall entrapment in swimming bacteria, Phys. Rev. X 7, 011010 (2017).
- B. Ezhilan, R. Alonso-Matilla, and D. Saintillan, On the distribution and swim pressure of run-and-tumble particles in confinement, J. Fluid Mech. 781, R4 (2015).
- C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active Brownian particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
- P. Galajda, J. Keymer, P. Chaikin, and R. Austin, A wall of funnels concentrates swimming bacteria, J. Bacteriol. 189, 8704 (2007).
- P. D. Frymier, R. M. Ford, H. C. Berg, and P. T. Cummings, Three-dimensional tracking of motile bacteria near a solid planar surface., Proc. Natl. Acad. Sci. USA 92, 6195 (1995).
- G. Li and J. X. Tang, Accumulation of microswimmers near a surface mediated by collision and rotational Brownian motion, Phys. Rev. Lett. 103, 078101 (2009).
- D. F. Katz, On the propulsion of micro-organisms near solid boundaries, J. Fluid Mech. 64, 33 (1974).
- R. R. Rajendran and A. Banerjee, Effect of non-Newtonian dynamics on the clearance of mucus from bifurcating lung airway models, J. Biomech. Eng. 143, 021011 (2021).
- M. M. Molla and M. Paul, Les of non-Newtonian physiological blood flow in a model of arterial stenosis, Med. Eng. Phys. 34, 1079 (2012).
- G. Dharmaiah, J. R. Prasad, K. Balamurugan, I. Nurhidayat, U. Fernandez-Gamiz, and S. Noeiaghdam, Performance of magnetic dipole contribution on ferromagnetic non-Newtonian radiative MHD blood flow: An application of biotechnology and medical sciences, Heliyon 9, e13369 (2023).
- M. M. Bhatti, S. M. Sait, and R. Ellahi, Magnetic nanoparticles for drug delivery through tapered stenosed artery with blood based non-Newtonian fluid, Pharmaceuticals 15, 1352 (2022).
- S. Faghiri, S. Akbari, M. B. Shafii, and K. Hosseinzadeh, Hydrothermal analysis of non-Newtonian fluid flow (blood) through the circular tube under prescribed non-uniform wall heat flux, Theor. Appl. Mech. Lett. 12, 100360 (2022).
- E. Lauga, Propulsion in a viscoelastic fluid, Phys. Fluids 19, 083104 (2007).
- G. Li and A. M. Ardekani, Undulatory swimming in non-Newtonian fluids, J. Fluid Mech. 784, R4 (2015).
- T. R. Ives and A. Morozov, The mechanism of propulsion of a model microswimmer in a viscoelastic fluid next to a solid boundary, Phys. Fluids 29, 121612 (2017).
- G. Li and A. M. Ardekani, Near wall motion of undulatory swimmers in non-Newtonian fluids, Eur. J. Comput. Mech. 26, 44 (2017).
- S. Zhou, A. Sokolov, O. D. Lavrentovich, and I. S. Aranson, Living liquid crystals, Biophys. J. 106, 420a (2014).
- P. C. Mushenheim, R. R. Trivedi, H. H. Tuson, D. B. Weibel, and N. L. Abbott, Dynamic self-assembly of motile bacteria in liquid crystals, Soft Matter 10, 88 (2014).
- A. Sokolov, S. Zhou, O. D. Lavrentovich, and I. S. Aranson, Individual behavior and pairwise interactions between microswimmers in anisotropic liquid, Phys. Rev. E 91, 013009 (2015).
- R. R. Trivedi, R. Maeda, N. L. Abbott, S. E. Spagnolie, and D. B. Weibel, Bacterial transport of colloids in liquid crystalline environments, Soft Matter 11, 8404 (2015).
- S. Zhou, O. Tovkach, D. Golovaty, A. Sokolov, I. S. Aranson, and O. D. Lavrentovich, Dynamic states of swimming bacteria in a nematic liquid crystal cell with homeotropic alignment, New J. Phys. 19, 055006 (2017).
- M. S. Krieger, S. E. Spagnolie, and T. Powers, Microscale locomotion in a nematic liquid crystal, Soft Matter 11, 9115 (2015).
- M. S. Krieger, S. E. Spagnolie, and T. R. Powers, Swimming with small and large amplitude waves in a confined liquid crystal, J. Non-Newtonian Fluid Mech. 273, 104185 (2019).
- M. Doi, Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases, J. Polym. Sci., Polymer Phys. Ed. 19, 229 (1981).
- A. Sonnet, P. Maffettone, and E. Virga, Continuum theory for nematic liquid crystals with tensorial order, J. Non-Newtonian Fluid Mech. 119, 51 (2004).
- J. Feng, G. Sgalari, and L. G. Leal, A theory for flowing nematic polymers with orientational distortion, J. Rheol. 44, 1085 (2000).
- J. Feng, C. Chaubal, and L. Leal, Closure approximations for the doi theory: Which to use in simulating complex flows of liquid-crystalline polymers? J. Rheol. 42, 1095 (1998).
- Z. Lin, S. Chen, and T. Gao, Q-tensor model for undulatory swimming in lyotropic liquid crystal polymers, J. Fluid Mech. 921, A25 (2021).
- Z. Lin, Z. Yu, J. Li, and T. Gao, Anisotropic swimming and reorientation of an undulatory microswimmer in liquid-crystalline polymers, J. Fluid Mech. 946, A30 (2022).
- J. Shi and T. R. Powers, Swimming in an anisotropic fluid: How speed depends on alignment angle, Phys. Rev. Fluids 2, 123102 (2017).
- C. S. Peskin, The immersed boundary method, Acta Numer. 11, 479 (2002).
- L. J. Fauci and C. S. Peskin, A computational model of aquatic animal locomotion, J. Comput. Phys. 77, 85 (1988).
- M. Doi, S. F. Edwards, and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1988), Vol. 73.
- J. Feng and L. Leal, Simulating complex flows of liquid-crystalline polymers using the Doi theory, J. Rheol. 41, 1317 (1997).
- Z. Yu, A DLM/FD method for fluid/flexible-body interactions, J. Comput. Phys. 207, 1 (2005).
- G. J. Elfring and E. Lauga, Theory of locomotion through complex fluids, Complex Fluids in Biological Systems: Experiment, Theory, and Computation (Springer, 2014), pp. 283–317.
- J. Teran, L. Fauci, and M. Shelley, Viscoelastic fluid response can increase the speed and efficiency of a free swimmer, Phys. Rev. Lett. 104, 038101 (2010).
- P. Lee and C. W. Wolgemuth, An immersed boundary method for two-phase fluids and gels and the swimming of Caenorhabditis Elegans through viscoelastic fluids, Phys. Fluids 28, 011901 (2016).
- T. Namiki, A new FDTD algorithm based on alternating-direction implicit method, IEEE Trans. Microwave Theory Tech. 47, 2003 (1999).
- T. Vaithianathan and L. R. Collins, Numerical approach to simulating turbulent flow of a viscoelastic polymer solution, J. Comput. Phys. 187, 1 (2003).
- D. Salazar, A. M. Roma, and H. D. Ceniceros, Numerical study of an inextensible, finite swimmer in Stokesian viscoelastic flow, Phys. Fluids 28, 063101 (2016).