The onset of turbulent rotating dynamos at the low magnetic Prandtl number limit

Author: 

Seshasayanan, K
Dallas, V
Alexakis, A

Publication Date: 

10 July 2017

Journal: 

Journal of Fluid Mechanics

Last Updated: 

2020-08-27T08:10:10.197+01:00

Volume: 

822

DOI: 

10.1017/jfm.2017.324

page: 

822R31-822R310

abstract: 

© 2017 Cambridge University Press. We demonstrate that the critical magnetic Reynolds number Rm c for a turbulent nonhelical dynamo in the limit of low magnetic Prandtl number Pm (i.e. Pm=Rm/Re ≪ 1) can be significantly reduced if the flow is subjected to global rotation. Even for moderate rotation rates the required energy injection rate can be reduced by a factor of more than 10 3 . This strong decrease in the onset is attributed to the transfer of energy to the large scales, forming a large-scale condensate, and the reduction in the turbulent fluctuations that cause the flow to have a much larger cutoff length scale than in a non-rotating flow of the same Reynolds number. The dynamo thus behaves as if it is driven just by the large scales that act as a laminar flow (i.e. it behaves as a high Pm dynamo) even though the actual Reynolds number is much higher than the magnetic Reynolds number (i.e. low Pm). Our finding thus points to a new paradigm for the design of new experiments on liquid metal dynamos.

Symplectic id: 

732156

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article