Magnetohydrodynamic experiments on cosmic magnetic fields

F Stefani, A Gailitis, G Gerbeth - ZAMM‐Journal of Applied …, 2008 - Wiley Online Library
It is widely known that cosmic magnetic fields, ie the fields of planets, stars, and galaxies, are
produced by the hydromagnetic dynamo effect in moving electrically conducting fluids. It is …

Performance benchmarks for a next generation numerical dynamo model

H Matsui, E Heien, J Aubert, JM Aurnou… - Geochemistry …, 2016 - Wiley Online Library
Numerical simulations of the geodynamo have successfully represented many observable
characteristics of the geomagnetic field, yielding insight into the fundamental processes that …

Solutal buoyancy and electrovortex flow in liquid metal batteries

W Herreman, S Bénard, C Nore, P Personnettaz… - Physical Review …, 2020 - APS
Solutal buoyancy has a large impact on the flow of the alloy phase composing the positive
electrode in liquid metal batteries. During discharge solutal buoyancy creates a stabilizing …

Numerical simulation of electrovortex flows in cylindrical fluid layers and liquid metal batteries

W Herreman, C Nore, P Ziebell Ramos, L Cappanera… - Physical Review …, 2019 - APS
We use the multiphase magnetohydrodynamic code SFEMaNS to study the generation of
electrovortex flows in liquid metal batteries. We first reproduce some well known results in a …

Numerical simulation of the Tayler instability in liquid metals

N Weber, V Galindo, F Stefani, T Weier… - New Journal of …, 2013 - iopscience.iop.org
The electrical current through an incompressible, viscous and resistive liquid conductor
produces an azimuthal magnetic field that becomes unstable when the corresponding …

A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations

F Shakeri, M Dehghan - Applied Numerical Mathematics, 2011 - Elsevier
In this paper, the coupled equations in velocity and magnetic field for unsteady
magnetohydrodynamic (MHD) flow through a pipe of rectangular section are solved using …

The influence of current collectors on Tayler instability and electro-vortex flows in liquid metal batteries

N Weber, V Galindo, J Priede, F Stefani, T Weier - Physics of Fluids, 2015 - pubs.aip.org
The Tayler instability (TI) 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 …

Homotopy analysis method for MHD viscoelastic fluid flow and heat transfer in a channel with a stretching wall

B Raftari, K Vajravelu - … in nonlinear science and numerical simulation, 2012 - Elsevier
In this paper, we analyze the flow and heat transfer characteristics of a
magnetohydrodynamic (MHD) viscoelastic fluid in a parallel plate channel with a stretching …

Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method

JL Guermond, R Laguerre, J Léorat, C Nore - Journal of Computational …, 2009 - Elsevier
The Maxwell equations in the MHD limit in heterogeneous axisymmetric domains composed
of conducting and non-conducting regions are solved by using a mixed Fourier/Lagrange …

Perturbation theory for metal pad roll instability in cylindrical reduction cells

W Herreman, C Nore, JL Guermond… - Journal of fluid …, 2019 - cambridge.org
We propose a new theoretical model for metal pad roll instability in idealized cylindrical
reduction cells. In addition to the usual destabilizing effects, we model viscous and Joule …