Levitation of a cylinder by a thin viscous film

Author: 

Dalwadi, M
Cimpeanu, R
Ockendon, H
Ockendon, J
Mullin, T

Publication Date: 

26 April 2021

Journal: 

Journal of Fluid Mechanics

Last Updated: 

2021-11-28T20:36:36.877+00:00

Volume: 

917

DOI: 

10.1017/jfm.2021.284

abstract: 

When a horizontal cylinder is placed on a vertically moving belt coated with a thin layer of viscous fluid, experiments reveal that, at a specific belt velocity, the cylinder can be levitated at a fixed height while rotating around its own axis at an a priori unknown rate. We develop and solve a model for this experiment, using a combination of asymptotic analysis and direct numerical simulation. We obtain a relationship between the belt speed and cylinder rotation rate, which we successfully compare with experimental results.

Symplectic id: 

1169308

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article