Slender-ribbon theory

@article{Koens2015SlenderribbonT,
  title={Slender-ribbon theory},
  author={Lyndon Koens and Eric Lauga},
  journal={arXiv: Fluid Dynamics},
  year={2015}
}
Ribbons are long narrow strips possessing three distinct material length scales (thickness, width, and length) which allow them to produce unique shapes unobtainable by wires or filaments. For example when a ribbon has half a twist and is bent into a circle it produces a M\"obius strip. Significant effort has gone into determining the structural shapes of ribbons but less is know about their behavior in viscous fluids. In this paper we determine, asymptotically, the leading-order hydrodynamic… 

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