Flight modes, stability and modeling of gliders

ORAL

Abstract

A plain piece of paper flutters and tumbles through air, whereas a paper airplane glides smoothly if its leading edge is appropriately weighted. We reproduce this transfomration in flight experiments involving simple plates with different center of mass (CoM). Periodic modes such as fluttering, tumbling and bounding give way to steady gliding and then downward diving as the CoM is shifted towards the front edge. To explain these observations, we formulate a quasi-steady model which successfully accounts for the observed modes. Our results seem to explain what makes a paper plane stable, and our model will be useful for many other problems.

*This work was supported by the U.S. National Science Foundation through grants DMS-1847955 and DMS-1646339 to L.R. and by a Simons Fellowship in Mathematics to Z.J.W.

Publication: Li, H., Goodwill, T., Jane Wang, Z., & Ristroph, L. (2022). Centre of mass location, flight modes, stability and dynamic modelling of gliders. Journal of Fluid Mechanics, 937, A6. doi:10.1017/jfm.2022.89

Presenters

  • Huilin Li

    • Applied Math Lab, Courant Institute, New York University, New York, NY 10012, USA; Department of Mathematics, NYU Shanghai, Shanghai 200122, PR China

Authors

  • Huilin Li

    • Applied Math Lab, Courant Institute, New York University, New York, NY 10012, USA; Department of Mathematics, NYU Shanghai, Shanghai 200122, PR China
  • Tristan Goodwill

    • Applied Math Lab, Courant Institute, New York University, New York, NY 10012, USA
  • Jane Wang

    • Department of Physics and Department of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA
  • Leif Ristroph

    • Applied Math Lab, Courant Institute, New York University, New York, NY 10012, USA