Linear stability of magnetohydrodynamic flow in a square duct with thin conducting walls

• Published in: Journal of fluid mechanics Vol. 788; pp. 129 - 146
• Main Authors: Priede, Jānis, Arlt, Thomas, Bühler, Leo
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 10.02.2016
• Subjects: Base flow; Fluid mechanics; Linear equations; Magnetic fields; Reynolds number; Stability analysis; Vector space; high-Hartmann-number flows; instability; MHD and electrohydrodynamics

This study is concerned with the 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 flow that is valid for not only high but also moderate magn...