Thermoelectric magnetohydrodynamic flow in a liquid metal-infused trench

We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 1004
Main Authors Bond, O.G., Howell, P.D.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 28.01.2025
Subjects
JFM Papers
magnetic fluids
high-Hartmann-number flows
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Summary:We derive a mathematical model for steady, unidirectional, thermoelectric magnetohydrodynamic (TEMHD) flow of liquid lithium along a solid metal trench, subject to an imposed heat flux. We use a finite-element method implemented in COMSOL Multiphysics to solve the problem numerically, demonstrating how the fluid velocity, induced magnetic field and temperature change depending on the key physical and geometrical parameters. The observed flow structures are elucidated by using the method of matched asymptotic expansions to obtain approximate solutions in the limit where the Hartmann number is large and the trench walls are thin.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2024.1130