The influence of current collectors on Tayler instability and electro-vortex flows in liquid metal batteries
arXiv:1409.3735 · doi:10.1063/1.4905325
Abstract
The Tayler instability is a kink-type flow instability which occurs when the electrical current through a conducting fluid exceeds a certain critical value. Originally studied in the astrophysical context, the instability was recently shown to be also a limiting factor for the upward scalability of liquid metal batteries. In this paper, we continue our efforts to simulate this instability for liquid metals within the framework of an integro-differential equation approach. The original solver is enhanced by multi-domain support with Dirichlet-Neumann partitioning for the static boundaries. Particular focus is laid on the detailed influence of the axial electrical boundary conditions on the characteristic features of the Tayler instability, and, secondly, on the occurrence of electro-vortex flows and their relevance for liquid metal batteries.
arXiv comment26 pages, 16 figures
References in corpus (9)
- Dynamo action by differential rotation in a stably stratified stellar interior
- White dwarf spins from low mass stellar evolution models
- Experimental evidence for Tayler instability in a liquid metal column
- Current-driven flow instabilities in large-scale liquid metal batteries, and how to tame them
- How to circumvent the size limitation of liquid metal batteries due to the Tayler instability
- Numerical simulation of the Tayler instability in liquid metals
- Steady dynamos in finite domains: an integral equation approach
- Breakdown of chiral symmetry during saturation of the Tayler instability
- The Tayler instability of toroidal magnetic fields in a columnar gallium experiment
Cited by in corpus (20)
- Thermal convection in a liquid metal battery
- Sloshing instability and electrolyte layer rupture in liquid metal batteries
- Thermally driven convection in Li||Bi liquid metal batteries
- Thermal Rayleigh-Marangoni convection in a three-layer liquid-metal-battery model
- Competing forces in liquid metal electrodes and batteries
- Electromagnetically driven convection suitable for mass transfer enhancement in liquid metal batteries
- Metal pad instabilities in liquid metal batteries
- Shallow water modeling of rolling pad instability in liquid metal batteries
- Electro-vortex flow simulation using coupled meshes
- MHD stability of large scale liquid metal batteries
- Modelling Rayleigh-Bénard convection coupled with electro-vortex flow in liquid metal batteries
- Simulation of potential and species distribution in a Li||Bi liquid metal battery using coupled meshes
- Anode-metal drop formation and detachment mechanisms in liquid metal batteries
- Fractality of metal pad instability threshold in rectangular cells
- Effects of current distribution on mass transport in the positive electrode of a liquid metal battery
- Nonaxisymmetric linear instability of cylindrical magnetohydrodynamic Taylor-Couette flow
- Elementary model of internal electromagnetic pinch-type instability
- Realising large areal capacities in liquid metal batteries: a battery design concept for mass transfer enhancement
- Transient behaviour of electrovortex flow in a cylindrical container
- Theoretical estimate and characteristics of electro-vortex flows in cylindrical electrodes