Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 10
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Shao, Xueming Zhang, Xiaolong Yu, Zhaosheng and Lin, Jianzhong 2016. Numerical studies on the dynamics of an open triangle in a vertically oscillatory flow. Journal of Fluid Mechanics, Vol. 788, p. 381.


    Huang, Y. and Kanso, E. 2015. Periodic and chaotic flapping of insectile wings. The European Physical Journal Special Topics, Vol. 224, Issue. 17-18, p. 3175.


    Huang, Yangyang Nitsche, Monika and Kanso, Eva 2016. Hovering in oscillatory flows. Journal of Fluid Mechanics, Vol. 804, p. 531.


    Ristroph, L. and Childress, S. 2014. Stable hovering of a jellyfish-like flying machine. Journal of The Royal Society Interface, Vol. 11, Issue. 92, p. 20130992.


    Huang, Y. and Kanso, E. 2015. Periodic and chaotic flapping of insectile wings. The European Physical Journal Special Topics, Vol. 224, Issue. 17-18, p. 3175.


    Huang, Yangyang Nitsche, Monika and Kanso, Eva 2015. Stability versus maneuverability in hovering flight. Physics of Fluids, Vol. 27, Issue. 6, p. 061706.


    Fu, Zhidong and Liu, Hong 2015. Transient force augmentation due to counter-rotating vortex ring pairs. Journal of Fluid Mechanics, Vol. 785, p. 324.


    Childress, Stephen Shelley, Michael and Zhang, Jun 2012. Fluid-Structure Interactions: Research in the Courant Institute's Applied Mathematics Laboratory. Communications on Pure and Applied Mathematics, Vol. 65, Issue. 12, p. 1697.


    Liu, Bin Ristroph, Leif Weathers, Annie Childress, Stephen and Zhang, Jun 2012. Intrinsic Stability of a Body Hovering in an Oscillating Airflow. Physical Review Letters, Vol. 108, Issue. 6,


    Abdelnour, Karl Stinchcombe, Adam Porfiri, Maurizio Zhang, Jun and Childress, Stephen 2012. Wireless Powering of Ionic Polymer Metal Composites Toward Hovering Microswimmers. IEEE/ASME Transactions on Mechatronics, Vol. 17, Issue. 5, p. 924.


    ×
  • Journal of Fluid Mechanics, Volume 650
  • May 2010, pp. 415-425

Hovering of a rigid pyramid in an oscillatory airflow

  • ANNIE WEATHERS (a1), BRENDAN FOLIE (a2), BIN LIU (a3), STEPHEN CHILDRESS (a3) and JUN ZHANG (a1) (a3)
  • DOI: http://dx.doi.org/10.1017/S0022112010000583
  • Published online: 19 March 2010
Abstract

We investigate the dynamics of rigid bodies (hollow ‘pyramids’) placed within a background airflow, oscillating with zero mean. The asymmetry of the body introduces a net upward force. We find that when the amplitude of the airflow is above a threshold, the net lift exceeds the weight and the object starts to hover. Our results show that the objects hover at far smaller air amplitudes than would be required by a quasi-steady theory, although this theory accounts qualitatively for the behaviour of the system as the body mass becomes small.

Copyright
Corresponding author
Email address for correspondence: binliu@cims.nyu.edu
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

D. E. Alexander 2002 Nature's Flyers: Birds, Insects, and the Biomechanics of Flight. The Johns Hopkins University Press.

D. L. Altshuler , W. B. Dickson , J. T. Vance , S. P. Roberts & M. H. Dickinson 2005 Short-amplitude high-frequency wing strokes determine the aerodynamics of honeybee flight. Proc. Natl Acad. Sci. USA 102, 1821318218.

S. Childress , N. Vandenberghe & J. Zhang 2006 Hovering of a passive body in an oscillating airflow. Phys. Fluids 18, 117103.

J. O. Dabiri 2005 On the estimation of swimming and flying forces from wake measurements. J. Exp. Biol. 208, 35193532.

E. Kanso , J. E. Marsden , C. W. Rowley & J. B. Melli-Huber 2005 Locomotion of articulated bodies in a perfect fluid. J. Nonlinear Sci. 15, 255289.



E. M. Purcell 1977 Life at low Reynolds number. Am. J. Phys. 45, 311.

S. E. Spagnolie & M. J. Shelley 2009 Shape-changing bodies in fluid: Hovering, ratcheting, and bursting. Phys. Fluids 21, 013103.

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