Combined analytical and numerical solutions in liquid metal flows in a rectangular duct with uniform or non-uniform, strong magnetic fields

In order to model liquid-metal flows in self-cooled liquid-lithium blankets for magnetic-confinement fusion reactors, liquid metal flows in rectangular ducts with thin conducting walls have been treated by combining analytical methods and numerical solutions. An asymptotic method has been used in the linear stability analysis for the high-velocity side layers in an MHD duct flow with a uniform and very strong, transverse magnetic field. A composite core-side-layer approach, which combines the inviscid core region and the viscous side layer adjacent to the side wall as a whole region, but which ignores the Hartmann layers adjacent to the top and bottoms walls, has been employed for steady, two-dimensional and three-dimensional duct flow problems for any moderately strong, uniform or non-uniform magnetic fields. Spectral methods with the Chebyshev collocation method or Chebyshev-Fourier collocation method have been used successfully for the numerical solutions.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Science and Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Ting, Aili

Contributors dc:contributor

• Walker, John S.

• Applied Mechanics
• Engineering, Mechanical
• Physics, Fluid and Plasma

Statement dc:rights

• Copyright 1991 Ting, Aili

Language dc:language

eng

Identifier

AAI9211011
(UMI)AAI9211011

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22338