Abstract
In aluminum reduction cells, the interfacial surface wave causes uneven anode-cathode distance over the electrolytic zone and reduces the efficiency of electrolysis. In the past, the coupled partial differential equations, describing the electromagnetic perturbation in the cell, were formulated and solved with various mathematical methods. In this article, a Fourier expansion method is used for understanding the interaction of the various non-perturbed gravity waves. A proper mathematical treatment of the boundary condition, a critical factor for solving the equations, is presented. The result is summarized as the mode interactions, governed by the symmetry of the vertical magnetic field and the symmetry of the wave modes. The dominant mechanism of the instability is explained and the various practical methods for magnetic field compensation are reviewed.
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K. Mori, K. Shiota, N. Urata and H. Ikeuchi. The Surface Oscillation of Liquid Metal in Aluminium Reduction Cells. Light Metals Vol. 1 1976 pp 77–95.
N. Urata, K. Mori and H. Dceuchi. Behavior of Bath and Molten Metal in Aluminum Electrolytic Cell. Keikinzoku (Light Metals Japan) Vol. 26, No.11, 1976, pp 573.
T. Sele. Instability of the Metal Surface in Electrolytic Alumina Reduction Cells. Met.Trans. B, Vol 8B, 1977, pp 613–618.
N. Urata. Magnetics and metal pad instability. Light Metals 1985 pp 581–589.
R. Moreau and D. Ziegler. Stability of Aluminum Cells A New Approach. Light Metals 1986 pp 356–364.
D. P Ziegler. Stability of Metal/Electrolyte Interface in Hall-Heroult Cells: Effect of the Steady Velocity. Met.Trans. B, Vol 24B, 1993, pp 899–906.
V. Bojarevics and M. V. Romerio, Long wave instability of liquid metal-electrolyte interface in aluminum electrolysis cells: a generalization of Sele’s criterion. Eur. J. Mech. B/Fluids, 13,(1994), pp 33–56.
D. Sneyd and A. Wang. Interface instability due to MHD mode coupling in aluminum reduction cells, J. Fluid Mech., 263 1994 pp 343–359.
P. A. Davidson and R. I. Lindsay, Stability of interfacial waves in aluminum reduction cells, J. Fluid Mech., 362,1998, pp 273–195.
V. Potcnik. Modelling of Metal-Bath Interface Waves in Hall-Heroult Cells using ESTER/PHEONICS. Light Metals 1989 pp 227–235.
M. Segatz and C. Droste. Analysis of magneto-hydrodynamic instabilities in aluminium reduction cells. Light Metals 1994 pp 313–322.
C. Droste, M. Segatz and D. Vogelsang. Improved 2-Dimensional Model for Magnetohydrodynamic Stability Analysis in Reduction Cells. Light Metals 1998 pp 419–428.
K. Kalgraf. Stability of Hall-Heroult Cells. Light Metals 2001 pp 427–432.
Wu Jiankang and Huang King, Finite Element Analysis of Magnetohydrodynamics Stability of an Aluminum Reduction Cell. Light Metals 2002 pp 511–514.
L. Landau and E. Lifshits, Fluid Mechanics Pergamon Press 2nd English, rev. edition. 1987
L. Schwartz. Théorie des Distributions. Hermann & Cie. Paris.
K. Yoshida. Functional Analysis. Springer-Verlag Berlin Heidelberg 1995
O.C. Zienkiewicz and R. L. Taylor. The Finite Element Method. Fourth Edition Vol.1. Chapter 9 McGraw-Hill 1994.
K. Paulsen, W. Rolland, T.B. Svendson and M. Bugge. Factors Explaining the Improvements in Performance in the Soederberg Lines at Hydro Aluminium Karmoy. TRAVAUX Vol.23 1996 No. 27 pp 301.
B. Langon. Breakthrough in Prebake and Soederberg End-to-end Pots. Light Metals. 1980 pp 391–400.
T. Johansen, H. Petter and R. Kaenel. Productivity Increase at Soeral Smelter. Light Metals. 1999. pp 153–170.
P. Morel and J.P. Dugois. UK Patent Application GB 2021 647 A May 24 1979. Fig. 4.
G. Newsted, H. Meyer, R. Hawkins and J. Johnson. Twenty five years of progress at Intalco. Light Metals 1992 pp 307.
G. E. da Mota, G. J. de Andrade. Magnetic Compensation Project at Albras Smelter. Light Metals. 2001 pp 413–418
G. Degan. Use of Iron Shields for Correcting Local Disturbance of Magnetic Fields in the electrolytic Pots. Light Metals 1986. pp 551–554.
A. Panaitescu, A. Moraru and I. Panaitescu. Research on Instabilities in the Aluminum Electrolysis Cell. Light Metals 2003 pp 359–306.
H. Tang and N. Urata. Metal Pad Wave Analysis Using Fast Anode Lowering Method. Light Metals 1997 pp 387–394
A.S. Derkach and A.P. Skvortsov. Experience of Development and Implementation of Super High Intensity Prebake Cells (More than 250 kA). Aluminium of Siberia 99 pp 20–32
R Zabreznik and E. Tarapore. Development of the Kaiser Aluminum 195 kA Cell. Light Metals 1984 pp 455–473.
G. Bearne, M. Dunn, M. Roberts and Y. Mohammed. The CD200 Project The Development of a 200 kA Cell Design From concept to Implementation. Light Metals 1997 pp 243–245.
N. Urata, Y. Arita and H. Ikeuchi. Magnetic Field and Flow Pattern of Liquid Aluminum in the Reduction Cells. Light Metals 1975 pp 233–249.
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Urata, N. (2016). Wave Mode Coupling and Instability in the Internal Wave in Aluminum Reduction Cells. In: Bearne, G., Dupuis, M., Tarcy, G. (eds) Essential Readings in Light Metals. Springer, Cham. https://doi.org/10.1007/978-3-319-48156-2_53
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DOI: https://doi.org/10.1007/978-3-319-48156-2_53
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