Optimal Swimming at low Reynolds numbers
Mathematical Physics
2009-11-10 v3 math.MP
Fluid Dynamics
Abstract
Efficient swimming at low Reynolds numbers is a major concern of microbots. To compare the efficiencies of different swimmers we introduce the notion of ``swimming drag coefficient'' which allows for the ranking of swimmers. We find the optimal swimmer within a certain class of two dimensional swimmers using conformal mappings techniques.
Keywords
Cite
@article{arxiv.math-ph/0404044,
title = {Optimal Swimming at low Reynolds numbers},
author = {J. E. Avron and O. Gat and O. Kenneth},
journal= {arXiv preprint arXiv:math-ph/0404044},
year = {2009}
}
Comments
10 pages, 3 figures and one movie. Minor revisions and improved figures