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We present a new theoretical model for the analytical prediction of the metal pad roll instability in idealised aluminium reduction cells consisting of two stably stratified liquid layers, which carry a vertical electric current and are…

流体动力学 · 物理学 2025-07-25 Pranav Hegde , Wietze Herreman , Gerrit Maik Horstmann

Liquid metal batteries are possible candidates for large scale energy storage offering a possible breakthrough of intermittent wind and solar energy exploitations. The major concern over their practical implementation is the operation at…

应用物理 · 物理学 2018-02-20 V. Bojarevics , A. Tucs

Magnetohydrodynamically induced interface instability in liquid metal batteries is analyzed. The batteries are represented by a simplified system in the form of a rectangular cell, in which strong vertical electric current flows through…

流体动力学 · 物理学 2018-04-12 Oleg Zikanov

All solid state batteries are claimed to be the next-generation battery system, in view of their safety accompanied by high energy densities. A new advanced, multiscale compatible, and fully three dimensional model for solid electrolytes is…

应用物理 · 物理学 2022-03-15 L. Cabras , D. Danilov , W. Subber , V. Oancea , A. Salvadori

The increasing deployment of renewable energies requires three fundamental changes to the electric grid: more transmission lines, a flexibilisation of the demand and grid scale energy storage. Liquid metal batteries (LMBs) are considered…

This paper is concerned with the stability and large-time behavior of 3D incompressible MHD equations with only vertical dissipation near a background magnetic field. By making full use of the dissipation generated by the background…

偏微分方程分析 · 数学 2024-03-13 Suhua Lai , Jiahong Wu , Jianwen Zhang , Xiaokui Zhao

The entirely soft and transformable room-temperature liquid metal battery based on 3D hybrid printing was proposed and experimentally demonstrated. Liquid metal gallium and conductive gel were employed as the negative and positive electrode…

应用物理 · 物理学 2018-02-07 Fujun Liu , Yongze Yu , Lei Wang , Liting Yi , Jinrong Lu , Bin Yuan , Sicong Tan , Jing Liu

Liquid metal batteries (LMBs) are a promising alternative for large-scale stationary energy storage for renewable applications. Using high-abundance electrode materials such as Sodium and Zinc is highly desirable due to their low cost and…

Liquid metal batteries (LMBs) are discussed today as a cheap grid scale energy storage, as required for the deployment of fluctuating renewable energies. Built as a stable density stratification of two liquid metals separated by a thin…

I consider the problem of weakly nonlinear stability of three-dimensional parity-invariant magnetohydrodynamic systems to perturbations, involving large scales. I assume that the MHD state, the stability of which I investigate, does not…

混沌动力学 · 物理学 2007-05-23 V. Zheligovsky

Compressible vortex sheets are fundamental waves in entropy solutions to the multidimensional hyperbolic systems of conservation laws. For the Euler equations in 2-D gas dynamics, the classical linearized stability analysis on compressible…

偏微分方程分析 · 数学 2007-05-23 Gui-Qiang Chen , Ya-Guang Wang

A main result of this paper establishes the global stability of the three-dimensional MHD equations near a background magnetic field with mixed fractional partial dissipation with $\alpha, \beta\in(\frac{1}{2}, 1]$. Namely, the velocity…

偏微分方程分析 · 数学 2023-08-16 Xuemin Deng , Yuelong Xiao , Aibin Zang

A mechanical analogy is used to analyze the interaction between the magnetic field, electric current and deformation of interfaces in liquid metal batteries. It is found that, during charging or discharging, a sufficiently large battery is…

流体动力学 · 物理学 2017-01-25 Oleg Zikanov

Density Functional Theory (DFT) calculations of electrode material properties in high energy density storage devices like lithium batteries have been standard practice for decades. In contrast, DFT modelling of explicit interfaces in…

材料科学 · 物理学 2020-06-24 Kevin Leung

A main result of this paper establishes the global stability of the 3D MHD equations with mixed partial dissipation near a background magnetic field in the domain $\Omega=\mathbb{T}^2\times\mathbb{R}$ with $\mathbb{T}^2=[0, 1]^2$. More…

偏微分方程分析 · 数学 2024-02-05 Xuemin Deng , Yuelong Xiao , Aibin Zang

We investigate the interfacial wave coupling dynamics in liquid metal batteries and their effects to the battery's operation safety. Similar to aluminum reduction cells, liquid metal batteries can be highly susceptible to…

流体动力学 · 物理学 2017-08-11 Gerrit Maik Horstmann , Norbert Weber , Tom Weier

This paper focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed partial dissipation and magnetic diffusion. Our main result assesses the global stability of perturbations near the steady solution given by a…

偏微分方程分析 · 数学 2019-06-13 Jiahong Wu , Yi Zhu

We consider the dynamics of two layers of incompressible electrically conducting fluid interacting with the magnetic field, which are confined within a 3D horizontally infinite slab and separated by a free internal interface. We assume that…

偏微分方程分析 · 数学 2017-06-22 Yanjin Wang

In this article we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study the partial dissipation regime with full viscous and only…

偏微分方程分析 · 数学 2023-09-04 Niklas Knobel , Christian Zillinger

Motivated by explosive releases of energy in fusion, space and astrophysical plasmas, we consider the nonlinear stability of stratified magnetohydrodynamic (MHD) equilibria against two-dimensional interchanges of straight magnetic-flux…

高能天体物理现象 · 物理学 2024-12-10 David N. Hosking , David Wasserman , Steven C. Cowley
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