English

The effect of gait on swimming in viscoelastic fluids

Fluid Dynamics 2016-04-28 v4

Abstract

In this paper, we give formulas for the swimming of simplified two-dimensional bodies in complex fluids using the reciprocal theorem. By way of these formulas we calculate the swimming velocity due to small-amplitude deformations on the simplest of these bodies, a two-dimensional sheet, to explore general conditions on the swimming gait under which the sheet may move faster, or slower, in a viscoelastic fluid compared to a Newtonian fluid. We show that in general, for small amplitude deformations, a speed increase can only be realized by multiple deformation modes in contrast to slip flows. Additionally, we show that a change in swimming speed is directly due to a change in thrust generated by the swimmer.

Keywords

Cite

@article{arxiv.1511.06386,
  title  = {The effect of gait on swimming in viscoelastic fluids},
  author = {Gwynn J. Elfring and Gaurav Goyal},
  journal= {arXiv preprint arXiv:1511.06386},
  year   = {2016}
}