Rotating thermal convection in liquid gallium: multi-modal flow, absent steady columns

被引:45
作者
Aurnou, Jonathan M. [1 ]
Bertin, Vincent [1 ,2 ]
Grannan, Alexander M. [1 ]
Horn, Susanne [1 ]
Vogt, Tobias [3 ]
机构
[1] Univ Calif Los Angeles, Dept Earth Planetary & Space Sci, Los Angeles, CA 90095 USA
[2] Ecole Normale Super, Dept Phys, Paris, France
[3] Helmholtz Zentrum Dresden Rossendorf, Inst Fluid Dynam, POB 510119, D-01314 Dresden, Germany
关键词
Benard convection; geodynamo; rotating flows; RAYLEIGH-BENARD CONVECTION; LOW PRANDTL NUMBER; LOW ROSSBY NUMBER; HEAT-TRANSFER; MAGNETIC-FIELD; TURBULENT CONVECTION; POINCARE EQUATION; ASYMMETRIC MODES; DRIVEN DYNAMOS; LINEAR-THEORY;
D O I
10.1017/jfm.2018.292
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Earth's magnetic field is generated by convective motions in its liquid metal core. In this fluid, the heat diffuses significantly more than momentum, and thus the Prandtl number Pr is well below unity. The thermally driven convective flow dynamics of liquid metals are very different from moderate-Pr fluids, such as water and those used in current dynamo simulations. In order to characterise rapidly rotating thermal convection in low-Pr number fluids, we have performed laboratory experiments in a cylinder of aspect ratio Gamma = 1.94 using liquid gallium (Pr similar or equal to 0.025) as the working fluid. The Ekman number varies from E similar or equal to 5 x 10(-6) to 5 x 10(-5) and the Rayleigh number varies from Ra similar or equal to 2 x 10(5) to 1.5 x 10(7). Using spectral analysis stemming from point-wise temperature measurements within the fluid and measurements of the Nusselt number Nu, we characterise the different styles of low-Pr rotating convective flow. The convection threshold is first overcome in the form of container-scale inertial oscillatory modes. At stronger forcing, sidewall-attached modes are identified for the first time in liquid metal laboratory experiments. These wall modes coexist with the bulk oscillatory modes. At Ra well below the values where steady rotating columnar convection occurs, the bulk flow becomes turbulent. Our results imply that rotating convective flows in liquid metals do not develop in the form of quasisteady columns, as in moderate-Pr fluids, but in the form of oscillatory convective motions. Thus, thermally driven flows in low-Pr geophysical and astrophysical fluids can differ substantively from those occurring in Pr similar or equal to 1 models. Furthermore, our experimental results show that relatively low-frequency wall modes are an essential dynamical component of rapidly rotating convection in liquid metals.
引用
收藏
页码:846 / 876
页数:31
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