# Interaction of two flapping filaments in a flowing soap film

@article{Zhu2003InteractionOT, title={Interaction of two flapping filaments in a flowing soap film}, author={Luoding Zhu and Charles S. Peskin}, journal={Physics of Fluids}, year={2003}, volume={15}, pages={1954-1960} }

Using the immersed boundary method, we have simulated the motion of two flexible filaments in a flowing soap film, which was experimentally studied by Zhang et al. [Nature (London) 408, 835 (2000)]. We found numerically two distinct modes of sustained oscillation of the two filaments: parallel flapping and mirror-image clapping, depending on the separation distance between the two filaments. Our simulation results agree with that of the experiment at least qualitatively, even though the…

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## References

SHOWING 1-10 OF 25 REFERENCES

### Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind

- PhysicsNature
- 2000

The dynamics of swimming fish and flapping flags involves a complicated interaction of their deformable shapes with the surrounding fluid flow, and it is found that, for a single filament, there are two distinct, stable dynamical states.

### A liquid film (soap film) tunnel to study two-dimensional laminar and turbulent shear flows

- Physics, Engineering
- 1989

### Two-dimensional velocity profiles and laminar boundary layers in flowing soap films

- Physics
- 1996

In this study we examine laminar velocity profiles of freely suspended flowing soap films. We introduce a new device which supports large uniform films for indefinite periods of time. The geometry of…

### Instability of elastic filaments in shear flow yields first-normal-stress differences.

- EngineeringPhysical review letters
- 2001

Nonlinear simulations of the flow-induced deformation of a high-aspect-ratio elastic filament show that in dilute solutions, flexibility of the fibers causes both increased shear thinning as well as significant nonzero first-normal-stress differences.

### External dissipation in driven two-dimensional turbulence

- PhysicsPhysical review letters
- 2000

Turbulence in a freely suspended soap film is created by electromagnetic forcing and measured by particle tracking, and the energy dissipation rates due to air friction and the film's internal viscosity are measured, demonstrating that the air friction is a significant energy Dissipation mechanism in the system.

### Experiments with Turbulent Soap Films.

- PhysicsPhysical review letters
- 1995

These findings are consistent with the theoretically predicted enstrophy cascade picture for two-dimensional turbulence, however, significant differences were observed.