Equilibrium configuration of a rectangular obstacle immersed in a channel flow
Analysis of PDEs
2021-12-30 v2 Mathematical Physics
math.MP
Abstract
Fluid flows around an obstacle generate vortices which, in turn, generate lift forces on the obstacle. Therefore, even in a perfectly symmetric framework equilibrium positions may be asymmetric. We show that this is not the case for a Poiseuille flow in an unbounded 2D channel, at least for small Reynolds number and flow rate. We consider both the cases of vertically moving obstacles and obstacles rotating around a fixed pin.
Keywords
Cite
@article{arxiv.2004.10062,
title = {Equilibrium configuration of a rectangular obstacle immersed in a channel flow},
author = {Denis Bonheure and Giovanni P. Galdi and Filippo Gazzola},
journal= {arXiv preprint arXiv:2004.10062},
year = {2021}
}
Comments
This is an updated version of the original ArXiv paper posted in 2020