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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…

流体动力学 · 物理学 2016-01-27 Jānis Priede , Thomas Arlt , Leo Bühler

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…

流体动力学 · 物理学 2025-01-15 Mattias Brynjell-Rahkola , Yohann Duguet , Thomas Boeck

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…

流体动力学 · 物理学 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…

流体动力学 · 物理学 2015-05-13 J. Priede , S. Aleksandrova , S. Molokov

The stability of the flow under the magnetic force is one of the classical problems in fluid mechanics. In this paper, the flow in a rectangular duct with different Hartmann (Ha) number is simulated. The finite volume method and the SIMPLE…

流体动力学 · 物理学 2019-02-08 Rahman Anisur , Wenqia Xu , Kunhang Li , Hua-Shu Dou , Boo Cheong Khoo , Jie Mao

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…

流体动力学 · 物理学 2020-06-09 Alban Pothérat

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…

流体动力学 · 物理学 2024-05-24 Yelyzaveta Velizhanina , Bernard Knaepen

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…

流体动力学 · 物理学 2015-11-05 Vinodh Bandaru , Thomas Boeck , Dmitry Krasnov , Jörg Schumacher

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…

流体动力学 · 物理学 2019-01-30 Oliver G. W. Cassells , Tony Vo , Alban Pothérat , Gregory J. Sheard

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…

流体动力学 · 物理学 2021-05-12 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard

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…

流体动力学 · 物理学 2018-06-27 Sandeep R. Kanuganti , Stephan Fauve , Christophe Gissinger

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…

流体动力学 · 物理学 2024-05-29 Thomas Boeck , Mattias Brynjell-Rahkola , Yohann Duguet

We formulate a general framework to study the flow of the electron liquid in two dimensions past a random array of impenetrable obstacles in the presence of a magnetic field. We derive a linear-response formula for the resistivity tensor…

介观与纳米尺度物理 · 物理学 2023-10-31 I. V. Gornyi , D. G. Polyakov

We discuss the effects of nonhomogeneous magnetic fields in liquid metal flows in two different configurations. In the first configuration, we briefly report the impact of fringing magnetic fields in a turbulent Rayleigh-B{\'e}nard…

流体动力学 · 物理学 2023-09-21 Shashwat Bhattacharya , Seyed Loghman Sanjari , Dmitry Krasnov , Thomas Boeck

The flow of a liquid metal (LM) in a rectangular duct segment, subject to a uniform transverse magnetic field and uniform heating at the side walls is explored in an ample parameter space using Direct Numerical Simulation (DNS). We modify…

流体动力学 · 物理学 2026-04-15 Andreu Queralt McBride , Dmitry Krasnov , Yuri Kolesnikov , Jörg Schumacher

The paper presents 3D numerical results for the laminar liquid metal flow in a rectangular duct compared with experimental results. It is shown that the magnetic interaction parameter $N$ is the main parameter governing the flow provided…

流体动力学 · 物理学 2009-01-06 E. V. Votyakov , E. Zienicke

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…

流体动力学 · 物理学 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

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…

流体动力学 · 物理学 2014-12-04 Jonathan Hagan , Jānis Priede

We investigate aspects of low-magnetic-Reynolds-number flow between two parallel, perfectly insulating walls, in the presence of an imposed magnetic field parallel to the bounding walls. We find a functional basis to describe the flow, well…

流体动力学 · 物理学 2015-05-29 Robert Low , Alban Potherat

This manuscript has been accepted for publication in Physical Review Fluids, see https://journals.aps.org/prfluids/accepted/d5074S28J6b11905012b7cb06505e8f2149dd5f20. This work investigates the mechanisms that underlie transitions to…

流体动力学 · 物理学 2020-12-24 Christopher J. Camobreco , Alban Pothérat , Gregory J. Sheard
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