The dynamics of a flexible loop in a high-speed flow

ORAL

Abstract

We study the behavior of an elastic loop in a fast-flowing soap film. The loop is wetted into the film and is held fixed at a single point against the oncoming flow. We interpret this system as a 2D closed flexible body moving in a quasi-2D flow. The loop is deformed by the flow, and this coupled fluid-structure system shows bi-stability: stationary and oscillatory. In its stationary state, the loop essentially remains motionless and its wake is a von K\'{a}rm\'{a}n vortex street. In its oscillatory state, the loop sheds two vortex dipoles within each oscillation period. The frequency of oscillation of the loop is linearly proportional to the flow velocity.

Authors

  • Sunghwan Jung

    AML, Courant Inst., New York Univ.

  • Kathleen Mareck

    AML, Courant Inst., New York Univ.

  • Michael Shelley

    AML, Courant Inst., New York Univ.

  • Jun Zhang

    Physics Dept. and Courant Inst., NYU, AML, Courant Inst., New York Univ.