The use of heat flow modeling to explore solidification phenomena

Some of the basic solidification characteristics of alloys which freeze over a finite temperature range are examined with the help of an explicit finite difference model. Comparison is made between observed and predicted changes in local cooling conditions during directional solidification and deductions made about thermal features and the growth behavior. Some general conclusions are outlined regarding the speed-up of dendrite tip and root isotherms (and other end effect phenomena), elimination of melt superheat by convection currents, and the effect of isothermal latent heat evolution (as in eutectic formation). Some comments are made about the relevance of these considerations to real solidification processes and the importance of numerical modeling in future developments.

[1]  J. W. Westwater,et al.  Extension of the numerical method for melting and freezing problems , 1970 .

[2]  G. H. Geiger,et al.  Transport Phenomena in Metallurgy , 1973 .

[3]  Anastas Lazaridis,et al.  A numerical solution of the multidimensional solidification (or melting) problem , 1970 .

[4]  T. W. Clyne,et al.  The application of a new solidification heat flow model to splat cooling , 1981 .

[5]  Ephraim M Sparrow,et al.  ANALYSIS OF MULTIDIMENSIONAL CONDUCTION PHASE CHANGE VIA THE ENTHALPY MODEL. , 1975 .

[6]  T. W. Clyne,et al.  The Use of Empirical, Analytical, and Numerical Models to Describe Solidification of Steel During Continuous Casting , 1982 .

[7]  S. Kou Welding, Glazing, and Heat Treating —A dimensional analysis of heat flow , 1982 .

[8]  Natural convection in a rectangular cavity transient behavior and two phase systems in laminar flow , 1971 .

[9]  T. W. Clyne Heat flow in controlled directional solidification of metals: I. Experimental investigation , 1980 .

[10]  Merton C. Flemings,et al.  Elimination of Solute Banding in Indium Antimonide Crystals by Growth in a Magnetic Field , 1966 .

[11]  Julian Szekely,et al.  Fluid flow phenomena in metals processing , 1979 .

[12]  J. Szekely,et al.  An experimental and analytical study of the solidification of a binary dendritic system , 1978 .

[13]  M. Flemings,et al.  Modeling of continuous strip production by rheocasting , 1981 .

[14]  J. Szekely Chapter 6 – Natural Convection and Surface Tension Driven Flows , 1979 .

[15]  J. Hunt,et al.  Diffusion in the semi-solid region during dendritic growth , 1979 .

[16]  M. Flemings,et al.  Refinement of dendrite arm spacings in aluminum ingots through heat flow control , 1977 .

[17]  H. Jacobi Einfluß unterschiedlicher Gase im Spalt auf den Wärmeübergang zwischen Block und wassergekühlter Kupferkokille , 1976 .

[18]  Robert E. Wilson,et al.  Fundamentals of momentum, heat, and mass transfer , 1969 .

[19]  T. W. Clyne,et al.  Solute redistribution during solidification with rapid solid state diffusion , 1981 .

[20]  T. W. Clyne,et al.  Experimental investigation of a multi-stage purification process for metals , 1981 .