Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-18T18:52:26.322Z Has data issue: false hasContentIssue false
  • English
  • Français

On the flow in a channel induction furnace

Published online by Cambridge University Press:  20 April 2006

A. J. Mestel
A. J. Mestel
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The channel induction furnace is an electrically efficient device for the heating and stirring of liquid metals. In this paper an axisymmetric model for the channel flow is proposed, in which the fluid is confined to the inside of a torus. An exact solution for the magnetic field is found in terms of toroidal harmonic functions. Finite-difference methods are used to calculate the primary, cross-channel motions under the assumptions of a small skin depth, a constant eddy viscosity and no thermal dependence. Non-axisymmetric perturbations to the channel shape are considered and the perturbed field calculated. The secondary circulation along the channel is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 147 , October 1984 , pp. 431 - 447
Copyright
© 1984 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, I. A. 1965 Handbook of Mathematical Functions. Dover.
Alden, R. T. H., Burke, P. E. & Biringer, P. P. 1970 MHD pumping in channel furnaces. In Proc. IEEE Winter Power Meeting, New York, 1970. IEEE Conf. Paper.
Batchelor, G. K. 1956 On steady laminar flow with closed streamlines at large Reynolds number. J. Fluid Mech. 1, 177.Google Scholar
Fautrelle, Y. R. 1981 Analytical and numerical aspects of the electromagnetic stirring induced by alternating magnetic fields. J. Fluid Mech. 102, 405.Google Scholar
Fautrelle, Y. R. 1983 Single phase electromagnetic stirring in coreless induction furnaces. Liquid Metal Flows and Magnetohydrodynamics, p. 374. AIAA Prog. Astro. Aero.
Hunt, J. C. R. & Maxey, M. R. 1980 Turbulent flows of liquid metals. In MHD-Flows and Turbulence II (ed. H. Branover & A. Yakhot), p. 249. Israel Universities Press.
Mestel, A. J. 1982 Magnetic levitation of liquid metals. J. Fluid Mech. 117, 27.Google Scholar
Moffatt, H. K. 1982 High frequency excitation of liquid metal systems. In Proc. IUTAM Symp. on Metallurgical MHD, Cambridge, 1982 (in press).
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. McGraw-Hill.
Schluckebier, D. 1973 Inductors—particularly high power units—for melting heavy metal. In Proc. 5th Intl Junker Furnace Conf., Lammersdorf, 1973, p. 188; Electrowärme Intl 31 (1973) B6, 270.
Sneyd, A. D. 1979 Fluid flow induced by a rapidly alternating or rotating field. J. Fluid Mech. 92, 35.Google Scholar