Skip to main content
×
×
Home

Vortex interaction between two tandem flexible propulsors with a paddling-based locomotion

  • Sung Goon Park (a1) and Hyung Jin Sung (a1)
Abstract

Schooling behaviours among self-propelled animals can benefit propulsion. Inspired by the schooling behaviours of swimming jellyfish, flexible bodies that self-propel through a paddling-based motion were modelled in a tandem configuration. This present study explored the hydrodynamic patterns generated by the interactions between two flexible bodies and the surrounding fluid in the framework of the penalty immersed boundary method. The hydrodynamic patterns produced in the wake revealed flow-mediated interactions between two tandem propulsors, including vortex–vortex and vortex–body interactions. Two tandem flexible propulsors paddling with identical amplitude and frequency produced stable configurations as a result of the flow-mediated interactions. Both the upstream and downstream propulsors benefited from the tandem configuration in terms of the locomotion velocity and the cost, compared with an isolated propulsion system. The interactions were examined as a function of the initial gap distance and the phase difference in the paddling frequency. The equilibrium gap distance between two propulsors remained constant, regardless of the initial gap distance, although it did depend on the phase difference in the paddling frequency.

Copyright
Corresponding author
Email address for correspondence: hjsung@kaist.ac.kr
References
Hide All
Alben, S. 2009 Wake-mediated synchronization and drafting in coupled flags. J. Fluid Mech. 641, 489496.
Alben, S. & Shelley, M. 2005 Coherent locomotion as an attracting state for a free flapping body. Proc. Natl Acad. Sci. USA 102, 1116311166.
Beal, D. N., Hover, F. S., Triantafyllou, M. S., Liao, J. C. & Lauder, G. V. 2006 Passive propulsion in vortex wakes. J. Fluid Mech. 549, 385402.
Belyayev, V. V. & Zuyev, G. V. 1969 Hydrodynamic hypothesis of schooling in fish. J. Ichthy 9, 578584.
Borazjani, I. 2015 Simulations of unsteady aquatic locomotion: from unsteadiness in straight-line swimming to fast-starts. Integr. Compar. Biol. 55, 740752.
Breder, C. M. Jr 1976 Fish schools as operational structures. Fish. Bull. 74, 471502.
Colin, S. P. & Costello, J. H. 2002 Morphology, swimming performance and propulsive mode of six co-occurring hydromedusae. J. Expl Biol. 2002, 427437.
Dabiri, J. O. 2005 On the estimation of swimming and flying forces from wake measurements. J. Expl Biol. 208, 35193532.
Dabiri, J. O. 2009 Optimal vortex formation as a unifying principle in biological propulsion. Annu. Rev. Fluid Mech. 41, 1733.
Dabiri, J. O., Colin, S. P., Costello, J. H. & Gharib, M. 2005 Flow patterns generated by oblate medusa jellyfish: field measurements and laboratory analyses. J. Expl Biol. 208, 12571265.
Daghooghi, M. & Borazjani, I. 2015 The hydrodynamic advantages of synchronized swimming in a rectangular pattern. Bioinspir. Biomim. 10, 056018.
Eldredge, J. D. & Pisani, D. 2008 Passive locomotion of a simple articulated fish-like system in the wake of an obstacle. J. Fluid Mech. 607, 279288.
Fish, F. E. & Lauder, G. V. 2006 Passive and active flow control by swimming fishes and mammals. Annu. Rev. Fluid Mech. 38, 193224.
Gemmell, B. J., Costello, J. H., Colin, S. P., Stewart, C. J., Dabiri, J. O., Tafti, D. & Priya, S. 2013 Passive energy recapture in jellyfish contributes to propulsive advantage over other metazoans. Proc. Natl Acad. Sci. USA 110, 1790417909.
Graham, W. M., Pages, F. & Hamner, W. M. 2001 A physical context for gelatinous zooplankton aggregations: a review. Hydrobiologia 451, 199212.
Huang, W.-X. & Sung, H. J. 2009 An immersed boundary method for fluid–flexible structure interaction. Comput. Meth. Appl. Mech. Engng 198, 26502661.
Jang, S. J., Sung, H. J. & Krogstad, P. 2011 Effects of an axisymmetric contraction on a turbulent pipe flow. J. Fluid Mech. 687, 376403.
Kim, K., Baek, S. J. & Sung, H. J. 2002 An implicit velocity decoupling procedure for incompressible Navier–Stokes equations. Intl J. Numer. Meth. Fluids 38, 125138.
Kim, S., Huang, W.-X. & Sung, H. J. 2010 Constructive and destructive interaction modes between two tandem flexible flags in viscous flow. J. Fluid Mech. 661, 511521.
Lauder, G. V. & Jayne, B. C. 1996 Pectoral fin locomotion in fishes: testing drag-based models using three-dimensional kinematics. Am. Zool. 36, 567581.
Liao, J. C., Beal, D. N., Lauder, G. V. & Triantafyllou, M. S. 2003a Fish exploiting vortices decrease muscle activity. Science 302, 15661569.
Liao, J. C., Beal, D. N., Lauder, G. V. & Triantafyllou, M. S. 2003b The Karman gait: novel body kinematics of rainbow trout swimming in a vortex street. J. Expl Biol. 206, 10591073.
Linden, P. F. & Turner, J. S. 2004 ‘Optimal’ vortex rings and aquatic propulsion mechanisms. Proc. R. Soc. Lond. B 271, 647653.
Mchenry, M. J. & Jed, J. 2003 The ontogenetic scaling of hydrodynamics and swimming performance in jellyfish (Aurelia aurita). J. Expl Biol. 206, 41254137.
Megill, W. M.2002 The biomechanics of jellyfish swimming. PhD thesis, The University of British Columbia.
Muller, U. K., van den Heuvel, B. L. E., Stamhuis, E. J. & Videler, J. J. 1997 Fish foot prints: morphology and energetics of the wake behind a continuously swimming mullet (Chelon labrosus Risso). J. Expl Biol. 200, 28932906.
Park, S. G., Chang, C. B., Huang, W. H. & Sung, H. J. 2014 Simulation of swimming oblate jellyfish with a paddling-based locomotion. J. Fluid Mech. 748, 731755.
Ristroph, L. & Zhang, J. 2008 Anomalous hydrodynamic drafting of interacting flapping flags. Phys. Rev. Lett. 101, 194502.
Rottini Sandrini, L., Stravisi, J. & Pieri, G. 1980 A recent shift in the wind distribution and the appearance of unusual planktonic organisms in the Gulf of Trieste. Boll. Soc. Adr. Sci Trieste 64, 7784.
Sahin, M. & Mohseni, K. 2009 An arbitrary Lagrangian–Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa Aequorea victoria . J. Comput. Phys. 228, 45884605.
Sahin, M., Mohseni, K. & Colin, S. P. 2009 The numerical comparison of flow patterns and propulsive performances for the hydromedusae Sarsia tubulosa and Aequorea victoria . J. Expl Biol. 212, 26562667.
Shin, S. J., Huang, W.-X. & Sung, H. J. 2008 Assessment of regularized delta functions and feedback forcing schemes for an immersed boundary method. Intl J. Numer. Meth. Fluids 58, 263286.
Tytell, E. D. & Lauder, G. V. 2004 The hydrodynamics of eel swimming. I. Wake structure. J. Expl Biol. 207, 18251841.
Uddin, E., Huang, W.-X. & Sung, H. J. 2013 Interaction modes of multiple flexible flags in a uniform flow. J. Fluid Mech. 729, 563583.
Ulrike, K. M. 2003 Fish ’n flag. Science 302, 15111512.
Weihs, D. 1973 Hydromechanics of fish schooling. Nature 241, 290291.
Zavodnik, D. 1987 Spatial aggregations of the swarming jellyfish Pelagia noctiluca (Scyphozoa). Mar. Biol. 94, 265269.
Zhang, J., Childress, S., Libchaber, A. & Shelley, M. 2000 Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 408, 835839.
Zhao, H., Freund, J. B. & Moser, R. D. 2008 A fixed-mesh method for incompressible fluid–structure systems with finite solid deformations. J. Comput. Phys. 227, 31143140.
Zhu, X., He, G. & Zhang, X. 2014 Flow-mediated interactions between two self-propelled flapping filaments in tandem configuration. Phys. Rev. Lett. 113, 238105.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

JFM classification

Type Description Title
VIDEO
Locomotions of flexible propulsors as a function of the phase difference of the flapping frequency.

Park et al. supplementary movie 1
Movie

 Video (3.1 MB)
3.1 MB

Metrics

Full text views

Total number of HTML views: 6
Total number of PDF views: 190 *
Loading metrics...

Abstract views

Total abstract views: 486 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 16th August 2018. This data will be updated every 24 hours.