Non-linear two-dimensional model of melt flows and interface instability in aluminum reduction cells

被引:34
作者
Sun, HJ
Zikanov, O
Ziegler, DP
机构
[1] Univ Michigan, Dept Mech Engn, Dearborn, MI 48128 USA
[2] Alcoa Ctr, Alcoa Primary Met, Alcoa Tech Ctr, Alcoa Ctr, PA 15069 USA
关键词
aluminum reduction; interface instability; magnetchydrodynamics;
D O I
10.1016/j.fluiddyn.2004.06.003
中图分类号
O3 [力学];
学科分类号
08 [工学]; 0801 [力学];
摘要
We derive a new two-dimensional model for the melt flows and interface instability in aluminum reduction cells. The model is based on the de St. Venant shallow water equations and incorporates the essential features of the system such as the magnetohydrodynamic instability mechanism and non-linear coupling between the flows and interfacial waves. The model is applied to investigate the impact of background melt flows and magnetic field perturbations on the instability. (C) 2004 Published by The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.
引用
收藏
页码:255 / 274
页数:20
相关论文
共 11 条
[1]
BOJAREVICS V, 1994, EUR J MECH B-FLUID, V13, P33
[2]
Stability of interfacial waves in aluminium reduction cells [J].
Davidson, PA ;
Lindsay, RI .
JOURNAL OF FLUID MECHANICS, 1998, 362 :273-295
[3]
HIGH-ORDER SPLITTING METHODS FOR THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS [J].
KARNIADAKIS, GE ;
ISRAELI, M ;
ORSZAG, SA .
JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 97 (02) :414-443
[4]
AN ANALYSIS OF THE HYDRODYNAMICS OF ALUMINUM REDUCTION CELLS [J].
MOREAU, R ;
EVANS, JW .
JOURNAL OF THE ELECTROCHEMICAL SOCIETY, 1984, 131 (10) :2251-2259
[5]
THE MOREAU-EVANS HYDRODYNAMIC MODEL APPLIED TO ACTUAL HALL-HEROULT CELLS [J].
MOREAU, RJ ;
ZIEGLER, D .
METALLURGICAL TRANSACTIONS B-PROCESS METALLURGY, 1988, 19 (05) :737-744
[6]
Press WH., 2001, NUMERICAL RECIPES FO, V77
[7]
SEGATZ M, 1994, LIGHT METALS, V313
[8]
INSTABILITIES OF METAL-SURFACE IN ELECTROLYTIC ALUMINA REDUCTION CELLS [J].
SELE, T .
METALLURGICAL TRANSACTIONS B-PROCESS METALLURGY, 1977, 8 (04) :613-618
[9]
INTERFACIAL INSTABILITY DUE TO MHD MODE-COUPLING IN ALUMINUM REDUCTION CELLS [J].
SNEYD, AD ;
WANG, A .
JOURNAL OF FLUID MECHANICS, 1994, 263 :343-359
[10]
URATA N, 1985, LIGHT METALS, V581