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Preferential transport of swimmers in heterogeneous two-dimensional turbulent flow
Phys. Rev. Fluids 7, 094501 – Published 27 September, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.094501
Abstract
We investigate the performance of active swimmers in a strongly heterogeneous two-dimensional weakly turbulent flow. The flow is heterogeneous in Reynolds number along one direction. Using a hybrid experimental-numerical model, we demonstrate that there are three regimes of preferential transport for rodlike swimmers as the swimmers' intrinsic speed increases. Using Lagrangian statistics along swimmers' trajectories, we reveal that the three regimes are due to the relative strengths of three different effects: the intrinsic speed of the swimmers, the reorientation ability of the shear layer at the interface of two flow regions, and the attracting Lagrangian coherent structures of the flow field. Our results elucidate the mechanism of preferential transport for swimmers in heterogeneous flow. We hope to raise researchers' attention to the dynamics of swimmers in strongly heterogeneous flow environments.
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References (39)
- H. L. Fuchs and G. P. Gerbi, Seascape-level variation in turbulence-and wave-generated hydrodynamic signals experienced by plankton, Prog. Ocean. 141, 109 (2016).
- J. S. Guasto, R. Rusconi, and R. Stocker, Fluid mechanics of planktonic microorganisms, Annu. Rev. Fluid Mech. 44, 373 (2012).
- D. Elmi, D. R. Webster, and D. M. Fields, Response of the copepod acartia tonsa to the hydrodynamic cues of small-scale, dissipative eddies in turbulence, J. Exp. Biol. 224, jeb237297 (2021).
- P. T. Underhill, J. P. Hernandez-Ortiz, and M. D. Graham, Diffusion and Spatial Correlations in Suspensions of Swimming Particles, Phys. Rev. Lett. 100, 248101 (2008).
- S. C. Takatori, W. Yan, and J. F. Brady, Swim Pressure: Stress Generation in Active Matter, Phys. Rev. Lett. 113, 028103 (2014).
- M. C. Marchetti, J.-F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Hydrodynamics of soft active matter, Rev. Mod. Phys. 85, 1143 (2013).
- R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone, and J. Bibette, Microscopic artificial swimmers, Nature (London) 437, 862 (2005).
- B. ten Hagen, F. Kümmel, R. Wittkowski, D. Takagi, H. Löwen, and C. Bechinger, Gravitaxis of asymmetric self-propelled colloidal particles, Nat. Commun. 5, 1 (2014).
- N. Khurana, J. Blawzdziewicz, and N. T. Ouellette, Reduced Transport of Swimming Particles in Chaotic Flow due to Hydrodynamic Trapping, Phys. Rev. Lett. 106, 198104 (2011).
- C. Torney and Z. Neufeld, Transport and Aggregation of Self-Propelled Particles in Fluid Flows, Phys. Rev. Lett. 99, 078101 (2007).
- R. Rusconi, J. S. Guasto, and R. Stocker, Bacterial transport suppressed by fluid shear, Nat. Phys. 10, 212 (2014).
- M. Borgnino, K. Gustavsson, F. De Lillo, G. Boffetta, M. Cencini, and B. Mehlig, Alignment of Nonspherical Active Particles in Chaotic Flows, Phys. Rev. Lett. 123, 138003 (2019).
- W. M. Durham, J. O. Kessler, and R. Stocker, Disruption of vertical motility by shear triggers formation of thin phytoplankton layers, Science 323, 1067 (2009).
- W. M. Durham, E. Climent, M. Barry, F. De Lillo, G. Boffetta, M. Cencini, and R. Stocker, Turbulence drives microscale patches of motile phytoplankton, Nat. Commun. 4, 1 (2013).
- X. Si and L. Fang, Preferential alignment and heterogeneous distribution of active non-spherical swimmers near lagrangian coherent structures, Phys. Fluids 33, 073303 (2021).
- C. Zhan, G. Sardina, E. Lushi, and L. Brandt, Accumulation of motile elongated micro-organisms in turbulence, J. Fluid Mech. 739, 22 (2014).
- K. D. Squires and J. K. Eaton, Preferential concentration of particles by turbulence, Phys. Fluids 3, 1169 (1991).
- N. Pujara, M. Koehl, and E. Variano, Rotations and accumulation of ellipsoidal microswimmers in isotropic turbulence, J. Fluid Mech. 838, 356 (2018).
- S. Lovecchio, E. Climent, R. Stocker, and W. M. Durham, Chain formation can enhance the vertical migration of phytoplankton through turbulence, Sci. Adv. 5, eaaw7879 (2019).
- A. Martin, Phytoplankton patchiness: the role of lateral stirring and mixing, Prog. Ocean. 57, 125 (2003).
- H. Yang, R. H. Weisberg, P. P. Niiler, W. Sturges, and W. Johnson, Lagrangian circulation and forbidden zone on the west florida shelf, Contin. Shelf Res. 19, 1221 (1999).
- D. H. Kelley and N. T. Ouellette, Onset of three-dimensionality in electromagnetically driven thin-layer flows, Phys. Fluids 23, 045103 (2011).
- L. Fang and N. T. Ouellette, Advection and the Efficiency of Spectral Energy Transfer in Two-Dimensional Turbulence, Phys. Rev. Lett. 117, 104501 (2016).
- L. Fang and N. T. Ouellette, Influence of lateral boundaries on transport in quasi-two-dimensional flow, Chaos 28, 023113 (2018).
- L. Fang and N. T. Ouellette, Transport across a bathymetric interface in quasi-two-dimensional flow, Phys. Rev. Fluids 4, 064501 (2019).
- N. T. Ouellette, P. J. J. O'Malley, and J. P. Gollub, Transport of Finite-Sized Particles in Chaotic Flow, Phys. Rev. Lett. 101, 174504 (2008).
- L. Fang and N. T. Ouellette, Multiple stages of decay in two-dimensional turbulence, Phys. Fluids 29, 111105 (2017).
- N. T. Ouellette, H. Xu, and E. Bodenschatz, A quantitative study of three-dimensional lagrangian particle tracking algorithms, Exp. Fluids 40, 301 (2006).
- G. Boffetta and R. E. Ecke, Two-dimensional turbulence, Annu. Rev. Fluid Mech. 44, 427 (2012).
- G. B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, Proc. R. Soc. London Ser. A 102, 161 (1922).
- T. Pedley and J. O. Kessler, Hydrodynamic phenomena in suspensions of swimming microorganisms, Annu. Rev. Fluid Mech. 24, 313 (1992).
- G. Haller, Lagrangian coherent structures, Annu. Rev. Fluid Mech. 47, 137 (2015).
- G. Haller and G. Yuan, Lagrangian coherent structures and mixing in two-dimensional turbulence, Physica D 147, 352 (2000).
- T. MacMillan and D. H. Richter, The most robust representations of flow trajectories are lagrangian coherent structures, J. Fluid Mech. 927, A26 (2021).
- D. H. Kelley, M. R. Allshouse, and N. T. Ouellette, Lagrangian coherent structures separate dynamically distinct regions in fluid flows, Phys. Rev. E 88, 013017 (2013).
- G. A. Voth, G. Haller, and J. P. Gollub, Experimental Measurements of Stretching Fields in Fluid Mixing, Phys. Rev. Lett. 88, 254501 (2002).
- G. Haller, Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence, Phys. Fluids 13, 3365 (2001).
- N. T. Ouellette, C. A. Hogg, and Y. Liao, Correlating lagrangian structures with forcing in two-dimensional flow, Phys. Fluids 28, 015105 (2016).
- S. Parsa, J. S. Guasto, M. Kishore, N. T. Ouellette, J. Gollub, and G. A. Voth, Rotation and alignment of rods in two-dimensional chaotic flow, Phys. Fluids 23, 043302 (2011).