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We analyse numerically the linear stability of a liquid metal flow in a rectangular duct with perfectly electrically conducting walls subject to a uniform transverse magnetic field. A non-standard three dimensional vector stream…

Fluid Dynamics · Physics 2012-09-26 Jānis Priede , Svetlana Aleksandrova , Sergei Molokov

We analyse numerically the linear stability of the fully developed flow of a liquid metal in a rectangular duct subject to a transverse magnetic field. The walls of the duct perpendicular to the magnetic field are perfectly conducting…

Fluid Dynamics · Physics 2015-05-13 J. Priede , S. Aleksandrova , S. Molokov

This study is concerned with numerical linear stability analysis of liquid metal flow in a square duct with thin electrically conducting walls subject to a uniform transverse magnetic field. We derive an asymptotic solution for the base…

Fluid Dynamics · Physics 2016-01-27 Jānis Priede , Thomas Arlt , Leo Bühler

We study the energy stability of pressure-driven laminar magnetohydrodynamic flow in a rectangular duct with transverse homogeneous magnetic field and electrically insulating walls. For sufficiently strong fields, the laminar velocity…

Fluid Dynamics · Physics 2024-05-29 Thomas Boeck , Mattias Brynjell-Rahkola , Yohann Duguet

A conservative coupled finite difference-boundary element computational procedure for the simulation of turbulent magnetohydrodynamic flow in a straight rectangular duct at finite magnetic Reynolds number is presented. The flow is assumed…

Fluid Dynamics · Physics 2015-11-05 Vinodh Bandaru , Thomas Boeck , Dmitry Krasnov , Jörg Schumacher

We analyse numerically the linear stability of the fully developed liquid metal flow in a square duct with insulating side walls and thin electrically conducting horizontal walls with the wall conductance ratio $c=0.01\cdots 1$ subject to a…

Fluid Dynamics · Physics 2017-07-07 Thomas Arlt , Jānis Priede , Leo Bühler

The characteristics of two-phase stratified magnetohydrodynamic (MHD) flow in horizontal rectangular ducts are investigated for a system consisting of a conductive liquid and a non-conductive gas. Numerical and analytical solutions of the…

Fluid Dynamics · Physics 2026-03-04 Subham Pal , Ilya Barmak , Arseniy Parfenov , Alexander Gelfgat , Neima Brauner

The flow transformation and the generation of vortex structures by a strong magnetic dipole field in a liquid metal duct flow is studied by means of three-dimensional direct numerical simulations. The dipole is considered as the paradigm…

Fluid Dynamics · Physics 2013-11-13 Saskia Tympel , Thomas Boeck , Jörg Schumacher

The linear stability of a fully-developed liquid-metal MHD pipe flow subject to a transverse magnetic field is studied numerically. Because of the lack of axial symmetry in the mean velocity profile, we need to perform a BiGlobal stability…

Fluid Dynamics · Physics 2023-05-03 Yelyzaveta Velizhanina , Bernard Knaepen

Direct numerical simulations and linear stability analysis are carried out to study mixed convection in a horizontal duct with constant-rate heating applied at the bottom and imposed transverse horizontal magnetic field. A two-dimensional…

Fluid Dynamics · Physics 2021-11-30 Ruslan Akhmedagaev , Oleg Zikanov , Yaroslav Listratov

The flow of an electrically conducting fluid driven by a traveling magnetic field imposed at the endcaps of a cylindrical annulus is numerically studied. At sufficiently large magnetic Reynolds number, the system undergoes a transition from…

Fluid Dynamics · Physics 2018-06-27 Sandeep R. Kanuganti , Stephan Fauve , Christophe Gissinger

The models that are based of fractional derivatives should be highlighted among promising new models to describe turbulent fluid flows. In the present work, a steady-state flow in a duct is considered under the condition that the turbulent…

Numerical Analysis · Computer Science 2016-07-20 Alexander G. Churbanov , Petr N. Vabishchevich

The present study is concerned with the stability of a flow of viscous conducting liquid driven by pressure gradient in the channel between two parallel walls subject to a transverse magnetic field. Although the magnetic field has a strong…

Fluid Dynamics · Physics 2014-12-04 Jonathan Hagan , Jānis Priede

This manuscript has been accepted for publication in Physical Review Fluids, see https://journals.aps.org/prfluids/accepted/53075Se8O0b1b109b1cc0061b280aaa122f0f92dc. The stability of a pulsatile quasi-two-dimensional duct flow was…

Fluid Dynamics · Physics 2021-05-12 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

The transition route from laminar to turbulent flow in a magnetohydrodynamic (MHD) duct with a square cross-section is investigated in the limit of low magnetic Reynolds number. In the presence of a transverse magnetic field, Hartmann and…

Fluid Dynamics · Physics 2025-01-15 Mattias Brynjell-Rahkola , Yohann Duguet , Thomas Boeck

We consider the influence of a transverse magnetic field on the transient growth of perturbations in a liquid-metal circular pipe flow with an electrically insulating or conducting wall. In this configuration, the mean flow profile and the…

Fluid Dynamics · Physics 2024-05-24 Yelyzaveta Velizhanina , Bernard Knaepen

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

Fluid Dynamics · Physics 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

This study seeks to elucidate the linear transient growth mechanisms in a uniform duct with square cross-section applicable to flows of electrically conducting fluids under the influence of an external magnetic field. A particular focus is…

Fluid Dynamics · Physics 2019-01-30 Oliver G. W. Cassells , Tony Vo , Alban Pothérat , Gregory J. Sheard

In this article the stability loss of the Hartmann flow are investigated by applying the equations for disturbances. The velocity and electric potential quasi-static MHD model is used. The equations allow us to calculate time-dependent…

Fluid Dynamics · Physics 2019-11-27 Alexander Proskurin , Anatoly Sagalakov

Inspired by the experiment from Moresco \& Alboussi\`ere (2004, J. Fluid Mech.), we study the stability of a liquid metal flow in a rectangular, electrically insulating duct with a steady homogeneous transverse magnetic field. The Lorentz…

Fluid Dynamics · Physics 2020-06-09 Alban Pothérat
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