Flow interactions lead to orderly formations of flapping wings in forward flight

Sophie Ramananarivo, Fang Fang, Anand Oza, Jun Zhang, Leif Ristroph

Research output: Contribution to journalArticle

Abstract

Classic models of fish schools and flying formations of birds are built on the hypothesis that the preferred locations of an individual are determined by the flow left by its upstream neighbor. Lighthill posited that arrangements may in fact emerge passively from hydro- or aerodynamic interactions, drawing an analogy to the formation of crystals by intermolecular forces. Here, we carry out physical experiments aimed at testing the Lighthill conjecture and find that self-propelled flapping wings spontaneously assume one of multiple arrangements due to flow interactions. Wings in a tandem pair select the same forward speed, which tends to be faster than a single wing, while maintaining a separation distance that is an integer multiple of the wavelength traced out by each body. When perturbed, these locomotors robustly return to the same arrangement, and direct hydrodynamic force measurements reveal springlike restoring forces that maintain group cohesion. We also use these data to construct an interaction potential, showing how the observed positions of the follower correspond to stable wells in an energy landscape. Flow visualization and vortex-based theoretical models reveal coherent interactions in which the follower surfs on the periodic wake left by the leader. These results indicate that, for the high-Reynolds-number flows characteristic of schools and flocks, collective locomotion at enhanced speed and in orderly formations can emerge from flow interactions alone. If true for larger groups, then the view of collectives as ordered states of matter may prove to be a useful analogy.

Original languageEnglish (US)
Article number071201(R)
JournalPhysical Review Fluids
Volume1
Issue number7
DOIs
StatePublished - Nov 1 2016

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Flow interactions
Hydrodynamics
Arrangement
Interaction
Force measurement
Birds
Analogy
Flow visualization
Fish
Aerodynamics
Formation Flying
Vortex flow
Reynolds number
Flow Visualization
Flock
Energy Landscape
Cohesion
Locomotion
Wavelength
Wake

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Modeling and Simulation

Cite this

Flow interactions lead to orderly formations of flapping wings in forward flight. / Ramananarivo, Sophie; Fang, Fang; Oza, Anand; Zhang, Jun; Ristroph, Leif.

In: Physical Review Fluids, Vol. 1, No. 7, 071201(R), 01.11.2016.

Research output: Contribution to journalArticle

Ramananarivo, Sophie ; Fang, Fang ; Oza, Anand ; Zhang, Jun ; Ristroph, Leif. / Flow interactions lead to orderly formations of flapping wings in forward flight. In: Physical Review Fluids. 2016 ; Vol. 1, No. 7.
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