Symmetry in Magnetohydrodynamic Flows and Their Applications

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 1170

Special Issue Editor


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Guest Editor
Department of Aeronautics and Astronautics, Tokyo Metropolitan University, Tokyo 191-0065, Japan
Interests: computational fluid dynamics; magnetohydrodynamics; modeling of interfacial flows; thermal convection; thermocapillary convection; centrifugal force; Taylor–Couette flow; boundary layer; transition stability
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Special Issue Information

Dear Colleagues,

Magnetohydrodynamics (MHD) is a field of study that incorporates electromagnetism and fluid mechanics. The flow of conducting fluids is substantially influenced by electromagnetic forces. This mechanism has been widely applied to various industries, such as steel-making processes, semiconductor crystal growth, liquid metal blankets in nuclear fusion reactors, electromagnetic pumps, electromagnetic levitation of drops, dynamo simulation of planets, and so on. Chandraskar studied the magnetohydordynamic stability of fundamental flows (Rayleigh–Bénard convection, Taylor–Couette flow and others). Nowadays, due to the developments of both the computational resources and its techniques, more complex MHD flows are being investigated through numerical analyses and experiments. This Special Issue focuses on various complex MHD phenomena and their applications, such as MHD turbulence, MHD flows caused by alternating magnetic fields (moving, rotating or oscillating magnetic fields) and high Hartmann number flows. It also includes breaks of flow symmetry due to various kinds of factors, such as shear stress, buoyancy, centrifugal force, and surface tension. 

Dr. Toshio Tagawa
Guest Editor

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Keywords

  • liquid metal
  • dynamo simulation
  • natural convection
  • rotating flow
  • thermo-capillary convection
  • bubbles and droplets
  • stability analysis
  • alternating magnetic field
  • magnetic susceptibility
  • boundary layer

Published Papers (1 paper)

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Research

19 pages, 4210 KiB  
Article
Self-Diffusiophoresis and Symmetry-Breaking of a Janus Dimer: Analytic Solution
by Eldad J. Avital and Touvia Miloh
Symmetry 2023, 15(11), 2019; https://doi.org/10.3390/sym15112019 - 03 Nov 2023
Viewed by 608
Abstract
A self-diffusiophoretic problem is considered for a chemically active dimer consisting of two equal touching spherical colloids that are exposed to different fixed-flux and fixed-rate surface reactions. A new analytic solution for the autophoretic mobility of such a catalytic Janus dimer is presented [...] Read more.
A self-diffusiophoretic problem is considered for a chemically active dimer consisting of two equal touching spherical colloids that are exposed to different fixed-flux and fixed-rate surface reactions. A new analytic solution for the autophoretic mobility of such a catalytic Janus dimer is presented in the limit of a small Péclet number and linearization of the resulting Robin-type boundary value problem for the harmonic solute concentration. Explicit solutions in terms of the physical parameters are first obtained for the uncoupled electrostatic and hydrodynamic problems. The dimer mobility is then found by employing the reciprocal theorem depending on the surface slip velocity and on the normal component of the shear stress acting on the inert dimer. Special attention is given to the limiting case of a Janus dimer composed of an inert sphere and a chemically active sphere where the fixed-rate reaction (Damköhler number) is infinitely large. Examples are given, comparing the numerical and approximate analytic solutions of the newly developed theory. Singular points arising in the model are discussed for a dimer with a fixed-rate reaction, and the flow field around the dimer is also analysed. The new developed theory introduces a fast way to compute the mobility of a freely suspended dimer and the induced flow field around it, and thus can also serve as a sub grid scale model for a multi-scale flow simulation. Full article
(This article belongs to the Special Issue Symmetry in Magnetohydrodynamic Flows and Their Applications)
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