Flow of a thin liquid-metal film in a toroidal magnetic field

Author: 

Lunz, D
Howell, P

Publication Date: 

28 March 2019

Journal: 

Journal of Fluid Mechanics

Last Updated: 

2021-08-18T15:53:18.03+01:00

Volume: 

867

DOI: 

10.1017/jfm.2019.173

page: 

835-876

abstract: 

We investigate the gravity-driven flow of a thin film of liquid metal on a conducting conical substrate in the presence of a strong toroidal magnetic field (transverse to the flow and parallel to the substrate). We solve the leading-order governing equations in a physically relevant asymptotic limit to find the free-surface profile. We find that the leading-order fluid flow rate is a non-monotonic bounded function of the film height, and this can lead to singularities in the free-surface profile. We perform a detailed stability analysis and identify values of the relevant geometric, hydrodynamic and magnetic parameters such that the flow is stable.

Symplectic id: 

985661

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article