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TECHNICAL NOTES

Control-Volume Finite Element Analysis of Phase Change During Direct Chill Casting

[+] Author and Article Information
X. Pu

Department of Ocean Engineering, Florida Atlantic University, Boca Raton, FL 33431 e-mail: xiaoyanp@oe.fau.edu

J. Heat Transfer 122(2), 399-402 (Dec 01, 1999) (4 pages) doi:10.1115/1.521479 History: Received November 22, 1998; Revised December 01, 1999
Copyright © 2000 by ASME
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References

Voller,  V. R., and Peng,  S., 1994, “An Enthalpy Formulation Based on an Arbitrarily Deforming Mesh for Solution of the Stefan Problem,” Comput. Mech., 14, No. 5, pp. 492–502.
Pu, X., 1998, “Application of Control Volume Finite Element Method to Phase Change Problems During DC Casting,” Proceedings of the 1998 7th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Part 3, ASME, New York, pp. 3–14.
Minaie, B., and Peng, S., 1998, “Implicit Analysis of Filling and Solidification During the Start-up Stage of DC Casting Process,” Modeling of Casting, Welding, and Advanced Solidification Processes VIII, B. G. Thomas and C. Beckermann, eds., The Minerals, Metals & Materials Society, Warrendale, PA, pp. 647–654.
Drezet,  J.-M., and Rappaz,  M., 1996, “Modeling of Ingot Distortions During Direct Chill Casting of Aluminum Alloys,” Metall. Mater. Trans. A, 27A, pp. 3214–3225.
Hannart, B., Cialti, F., and Van Schalkuijk, R., 1994, “Thermal Stresses in DC Casting of Aluminum Slabs: Application of a Finite Element Model,” Light Metals, U. Mannweiler, ed., The Minerals, Metals & Materials Society, Warrendale, PA, pp. 879–887.
Schneider, G. E., 1988, “Elliptic Systems: Finite-Element Method I,” Handbook of Numerical Heat Transfer, Wiley, New York, pp. 379–420.
Reddy, J. N., and Gartling, D. K., 1994, The Finite Element Method in Heat Transfer and Fluid Dynamics, CRC Press, Boca Raton, FL.
Alexiades, A., and Solomon, A. D., 1993, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, New York, pp. 218–220.

Figures

Grahic Jump Location
Distribution of heat flux on the lateral surface of the ingot (4, Fig. 4)
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Evolution of temperature (K) contours during the downward movement of the growing ingot
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Computed results (solid lines) and measurements (circles; 4, Fig. 3) of temperature distributions along the casting direction at five particular positions measured from the symmetry axis of the ingot under quasi-steady state
Grahic Jump Location
Start-up stage of direct chill casting of an aluminum ingot
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The control volume I and its surrounding finite elements used in the control-volume finite element method
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Variation of the normalized errors in interface locations of the one-dimensional Stefan problem as a function of the number of elements
Grahic Jump Location
Time evolution of the interface location corresponding to the one-dimensional Stefan problem

Tables

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