On the two-dimensional rotational body of maximal Newtonian resistance
Optimization and Control
2009-09-29 v1 Mathematical Physics
math.MP
Abstract
We investigate, by means of computer simulations, shapes of nonconvex bodies that maximize resistance to their motion through a rarefied medium, considering that bodies are moving forward and at the same time slowly rotating. A two-dimensional geometric shape that confers to the body a resistance very close to the theoretical supremum value is obtained, improving previous results.
Cite
@article{arxiv.0909.4871,
title = {On the two-dimensional rotational body of maximal Newtonian resistance},
author = {Paulo D. F. Gouveia and Alexander Plakhov and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0909.4871},
year = {2009}
}
Comments
This is a preprint version of the paper published in J. Math. Sci. (N. Y.), Vol. 161, no. 6, 2009, 811--819. DOI:10.1007/s10958-009-9602-0