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

被引:8
作者
Seshasayanan, Kannabiran [1 ]
Dallas, Vassilios [1 ,2 ]
Alexakis, Alexandros [1 ]
机构
[1] Univ Paris Diderot, Univ Pierre & Marie Curie, Ecole Normale Super, Lab Phys Stat,CNRS, F-75005 Paris, France
[2] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England
关键词
dynamo theory; geodynamo; rotating turbulence; RAYLEIGH-BENARD CONVECTION; FLOWS; SATURATION; FIELDS; MODEL;
D O I
10.1017/jfm.2017.324
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We demonstrate that the critical magnetic Reynolds number Rm(c) for a turbulent non-helical 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.
引用
收藏
页码:822R31 / 822R310
页数:10
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