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A mathematical model for fluid flow in a weld pool at high currents

Published online by Cambridge University Press:  19 April 2006

D. R. Atthey
D. R. Atthey
Affiliation:
Central Electricity Generating Board, Marchwood Engineering Laboratories, Southampton SO4 4ZB, England
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Abstract

In order to determine the heat transfer inside a TIG (tungsten/inert gas) weld pool, it is necessary to have a good understanding of the flow patterns of the liquid metal. The principal force driving the fluid motion is the electromagnetic j × B force due to the current from the welding arc and its self-magnetic field. In this paper we consider the flow of a viscous incompressible conducting fluid in a hemispherical container due to various distributions of the electric current. The problem is posed as a time-dependent problem and is solved numerically using the Du Fort–Frankel leap-frog method. Results are presented for currents of 100 A flowing through the weld pool. This is a typical current for TIG welding, and corresponds to a Reynolds number in the range 200 < Re < 600. Previous solutions of the problem were restricted to low Reynolds numbers, i.e. low currents.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 98 , Issue 4 , 26 June 1980 , pp. 787 - 801
Copyright
© 1980 Cambridge University Press

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References

Abramowitz, M. & Stegun, I. A. 1964 Handbook of Mathematical Functions. Washington: National Bureau of Standards.
Andrews, J. G. & Craine, R. E. 1978 J. Fluid Mech. 84, 281.
Kublanov, V. & Erokhin, A. 1974 Int. Inst. Weld Doc. no. 212–318–74.
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Pergamon.
Longworth, D. 1975 In Moving Boundary Problems in Heat Flow and Diffusion (ed. J. R. Ockendon & W. R. Hodgkins). Clarendon.
Moore, D. R., Peckover, R. S. & Weiss, N. O. 1973 Comp. Phys. Comm. 6, 198
Orzag, S. A. & Israeli, M. 1974 Ann. Rev. Fluid Mech. 6, 281.
Quigley, M. B. C. 1977 Weld & Metal Fab. 45, 619.
Roache, P. J. 1972 Computational Fluid Dynamics. Albuquerque: Hermosa.
Rosenthal, D. 1941 Weld J. Res. Suppl. 20, S220.
Shercliff, J. A. 1970 J. Fluid Mech. 40, 241.
Sozou, C. 1971 J. Fluid Mech. 46, 25.
Sozou, C. & Pickering, W. M. 1976 J. Fluid Mech. 73, 641.
Sozou, C. & Pickering, W. M. 1978 Proc. Roy. Soc. A 362, 509.
Weir, A. D. 1976 J. Fluid Mech. 75, 49.
Woods, R. A. & Milner, D. R. 1971 Weld J. Res. Suppl. 50, S163.