0
TECHNICAL PAPERS: Melting and Solidification

Conjugate Heat Transfer and Effects of Interfacial Heat Flux During the Solidification Process of Continuous Castings

[+] Author and Article Information
M. Ruhul Amin, Nikhil L. Gawas

Department of Mechanical & Industrial Engineering, Montana State University, Bozeman, MT 59717

J. Heat Transfer 125(2), 339-348 (Mar 21, 2003) (10 pages) doi:10.1115/1.1560146 History: Received May 02, 2002; Revised October 28, 2002; Online March 21, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.

References

Namburu,  R. R., and Tamma,  K. R., 1990, “Recent Advances, Trends and New Perspectives via Enthalpy-Based Finite Element Formulations for Applications to Solidification Problems,” Int. J. Numer. Methods Eng., 30, pp. 803–820.
Ho,  K., and Pehlke,  R. D., 1984, “Mechanisms of Heat Transfer at a Metal-Mold Interface,” AFS Transactions, 92, pp. 587–598.
Beck,  J. V., 1970, “Nonlinear Estimation Applied to the Non-Linear Inverse Heat Conduction Problem,” Int. J. Heat Mass Transf., 13, pp. 703–716.
Huang,  C. H., Ozisik,  M. N., and Sawaf,  B., 1992, “Conjugate Gradient Method for Determining Unknown Contact Conductance During Metal Casting,” Int. J. Heat Mass Transf., 35(7), pp. 1779–1786.
Ho, B., 1992, “Characterization of Interfacial Heat Transfer in the Continuous Slab Casting Process,” M.S. thesis, University of Illinois, Urbana, IL.
Isaac,  J., Reddy,  G. P., and Sharma,  G. K., 1985, “Variations of Heat Transfer Coefficients During Solidification of Castings in Metallic Moulds,” The British Foundryman, 78, pp. 465–468.
Blackwell,  J. H., and Ockendon,  J. R., 1982, “Exact Solution of a Stephan Problem Relevant to Continuous Casting,” Int. J. Heat Mass Transf., 25(7), pp. 1059–1060.
Chidiac, S. E., Samarasekera, I. V., and Brimacombe, J. K., 1989, “A Numerical Method for Analysis of Phase Change in the Continuous Casting Process,” Proceedings of Numiform 89, E. C. Thompson, R. D. Wood, O. C. Zienkiewick, A. Samuelson, and A. A. Balkema, eds., The Netherlands, pp. 121–128.
DeBellis, C. L., and LeBeau, S. E., 1989, “A Verified Thermal Model for Continuous Casting Process,” Heat Transfer in Manufacturing and Materials Processing, R. K. Shah ed., ASME 1989 National Heat Transfer Conference, NY, pp. 105–111.
Kang,  B. H., and Jaluria,  Y., 1993, “Thermal Modeling of the Continuous Casting Process,” J. Thermophys. Heat Transfer, 7(1), pp. 139–147.
Kim, W. S., Ozisik, M. N., and Hector Jr., L. G., 1990, “Inverse Problem of 1D Solidification for Determining Air-Gap Resistance to Heat Flow During Metal Casting,” XXII ICHMT International Symposium on Manufacturing and Material Processing, Dubrovnik, Yugoslavia.
Piwonka, T. S., and Berry, J. T., 1993, “Heat Transfer at the Mold/Metal Interface in Investment Castings,” Proceedings of the 41st Annual Technical Meeting—Investment Casting Institute, pp. 15:1–15:17.
Ho,  K., and Pehlke,  R. D., 1985, “Metal-Mold Interfacial Heat Transfer,” Metall. Trans. B, 16B, pp. 585–594.
Droste,  W., Engler,  S., and Nishida,  Y., 1986, “The Air Gap Formation Process at the Casting Mold Interface and the Heat Transfer Mechanism Through the Gap,” Metall. Trans. B, 17B, pp. 833–844.
Holzhauser,  J.-F., Spitzer,  K.-H., and Schwerdtfeger,  K., 2001, “Correction on: Laboratory Study of Heat Transfer Through Thin Layers of Casting Slag—Minimization of the Slag/Probe Contact Resistance,” Steel Res., 72(7), pp. 281–282.
Stone,  D. T., and Thomas,  B. G., 1999, “Measurement and Modeling of Heat Transfer Across Interfacial Mold Flux Layers,” Can. Metall. Q., 38(5), pp. 363–375.
Cho,  J. W., Emi,  T., Shibata,  H., and Suzuki,  M., 1998, “Heat Transfer Across Mold Flux Film in Mold During Initial Solidification in Continuous Casting of Steel,” ISIJ International, 38(8), pp. 834–842.
Brimacombe,  J. K., Muojekwu,  C. A., and Samarasekera,  I. V., 1995, “Heat Transfer and Microstructure During Early Stages of Solidification,” Metall. Mater. Trans. B, 26B, pp. 361–382.
Ansys, 1999, Commands Reference Manual, Version 5.6, Eight Edition, SAS IP Inc.
Gawas, N. L., 2001, “Numerical Modeling of Solidification Process During Continuous Casting Including the Effects of Interface Heat Flux,” M.S. thesis, Montana State University, Bozeman, MT.
Siegel,  R., 1984, “Two-Region Analysis of Interface Shape in Continuous Casting With Superheated Liquid,” ASME J. Heat Transfer, 106, pp. 506–511.
Wolff,  F., and Viskanta,  R., 1988, “Solidification of a Pure Metal at a Vertical Wall in Presence of Liquid Superheat,” Int. J. Heat Mass Transf., 31(8), pp. 1735–1744.
Greif, D., 1998, “Numerical Study of Conjugate Heat Transfer in a Continuously Moving Metal During Solidification,” M.S. thesis, Montana State University, Bozeman MT.

Figures

Grahic Jump Location
Problem domain in terms of dimensional parameters
Grahic Jump Location
(a), (b) Effective heat transfer coefficient formulation
Grahic Jump Location
Flow chart for the algorithm to incorporate effective heat resistance due to air gap
Grahic Jump Location
Comparison of numerically obtained solidification front positions with analytical results by Siegel 21
Grahic Jump Location
Comparison of numerically obtained solidification front positions with experimental data by Wolff and Viskanta 22
Grahic Jump Location
Effect of withdrawal speed on solidification front: (a) θ0=1.2,Bi2=0.1,Bi3=0.15; and (b) θ0=1.2,Bi2=0.02,Bi3=0.05.
Grahic Jump Location
Effect of withdrawal speed on non-dimensional local heat flux on the wall for θ0=1.2,Bi2=0.02,Bi3=0.05
Grahic Jump Location
Effect of withdrawal speed on wall temperature for θ0=1.2,Bi2=0.1,Bi3=0.15
Grahic Jump Location
Comparison of solidification front positions for θ0=1.2,Bi2=0.1,Bi3=0.15, (a) Pe=1.5, (b) Pe=2.0, (c) Pe=2.5, (d) Pe=3.0, and (e) Pe=4.0, Dotted line: Without interfacial heat flux, Solid line: With interfacial heat flux.
Grahic Jump Location
Comparison of solidification front positions for θ0=1.2,Bi2=0.02,Bi3=0.05, (a) Pe=2.0, and (b) Pe=2.5, Dotted line: Without interfacial heat flux, Solid line: With interfacial heat flux.
Grahic Jump Location
Variation of local heat flux for different superheats for Pe=1.5, Bi2=0.1,Bi3=0.15
Grahic Jump Location
Comparison of solidification front positions with and without interface heat flux modeling for Bi2=0.1,Bi3=0.15. (a) Pe=1.5, θ0=1.2, (b) Pe=1.5, θ0=3.0, (c) Pe=2.0, θ0=1.2, and (d) Pe=2.0, θ0=2.5, Dotted line: Without interfacial heat flux, Solid line: With interfacial heat flux.
Grahic Jump Location
Power law curve fit for the variation of non-dimensional air gap width with superheat at different withdrawal speeds (Bi2=0.1,Bi3=0.15)
Grahic Jump Location
Overall heat flux variation with respect to mold cooling rate for θ0=1.2,Bi3=0.05, 0.1, 0.15 for different withdrawal speeds, (a) Pe=2.0, and (b) Pe=2.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In