FIXED-GRID FRONT-TRACKING ALGORITHM FOR SOLIDIFICATION PROBLEMS, PART II: DIRECTIONAL SOLIDIFICATION WITH MELT CONVECTION

References

• Flemings , M. C. 1974 . Solidification Processing , New York : McGraw-Hill .
   Google Scholar
• Kou , S. 1996 . Transport Phenomena and Materials Processing , New York : Wiley .
   Google Scholar
• Groh , H. C. de , III and Lindstrom , T. June 1994 . Interface Shape and Convection During Solidification and Melting of Succinonitrile , 106 – 487 . Memo : NASA Tech .
   Google Scholar
• Garimella , S. V. , McNulty , J. P. and Schlitz , L. Z. 1995 . Formation and Suppression of Channels During Upward Solidification of a Binary Mixture . Metall. Mater. Trans. A , 26A : 971
   Google Scholar
• Magirl , C. S. and Incropera , F. P. 1993 . Flow and Morphological Conditions Associated with Unidirectional Solidification of Aqueous Ammonium Chloride . J. Heat Transfer , 115 : 1036
   Web of Science ®Google Scholar
• Hellawell , A. , Sarazin , J. R. and Stuebe , R. S. 1993 . Channel Convection in Partly Solidified Systems . Phil. Trans. R. Soc. Land. , 345A : 507
   Google Scholar
• Copley , S. M. , Giamei , A. F. , Johnson , S. M. and Hornbecker , M. F. 1970 . The Origin of Freckles in Unidirectionally Solidified Castings . Metal. Trans. , 1 : 2193
   Web of Science ®Google Scholar
• Cheveigné , S. de , Guthmann , C. and Lebrun , M.-M. 1985 . Nature of the Transition of the Solidification Front of a Binary Mixture from a Planar to a Cellular Morphology . J. Cryst. Growth , 73 : 242
   Google Scholar
• Hedges , E. S. 1960 . Tin and Its Alloys , London, UK : Edward Arnold .
   Google Scholar
• Özisik , M. N. 1980 . Heat Conduction , New York : Wiley .
   Google Scholar
• Patankar , S. V. and Spalding , D. B. 1972 . A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flow . Int. J. Heat Mass Transfer , 15 : 1787
   Web of Science ®Google Scholar
• Eshelman , M. A. , Seetharaman , V. and Trivedi , R. 1988 . Cellular Spacings-I. Steady-State Growth . Ada Metal. , 36 : 1165
   Google Scholar
• Labonia , G. , Timchenko , V. , Simpson , J. E. and Garimella , S. V. 1998 . E. Leonardi, and G. de Vahl Davis, Reconstruction and Advection of a Moving Interface in Three Dimensions on a Fixed Grid . Numer. Heat Transfer , 34 : 121
   Web of Science ®Google Scholar
• Li , C. Y. , Garimella , S. V. and Simpson , J. E. 2003 . Fixed-Grid Front-Tracking Algorithm for Solidification Problems . Part I: Method and Validation, Numer. Heat Transfer B , 43 : 117 – 141 .
   Web of Science ®Google Scholar
• Wollfand , F. and Viskanta , R. 1988 . Solidification of a Pure Metal at a Vertical Wall in the Presence of Liquid Superheat . Int. J. Heat Mass Transfer , 31 : 1735
   Google Scholar
• Raw , W. Y. and Lee , S. L. 1991 . Application of Weighting Function Scheme on ConvectionConduction Phase Change Problems . Int. J. Heat Mass Transfer , 34 : 1503
   Web of Science ®Google Scholar
• Simpson , J. E. and Garimella , S. V. 1998 . An Investigation of Solutal, Thermal and Flow Fields in Unidirectional Alloy Solidification . Int. J. Heat Mass Transfer , 41 : 2485
   Google Scholar
• Zhang , H. , Prasad , V. and Moallemi , M. K. 1996 . Numerical Algorithm Using Multizone Adaptive Grid Generation for Multiphase Transport Processes with Moving and Free Boundaries . Numer. Heat Transfer B , 29 : 399
   Web of Science ®Google Scholar
• Simpson , J. E. , Garimella , S. V. , Groh , H. C. de and III . 2002 . An Experimental and Numerical Investigation of the Bridgman Growth of Succinonitrile . AIAA J. Thermophys. Heat Transfer , 16 : 324
   Web of Science ®Google Scholar
• Patankar , S. V. 1980 . Numerical Heat Transfer and fluid Flow , New York : Hemisphere .
   Google Scholar
• Cubberly , W. H. 1979 . Metals Handbook, Properties and Selection: Nonferrous Alloys and Pure Metals , 9th , Metals Park, OH : ASM .
   Google Scholar
• Vahl Davis , G. de . 1983 . Natural Convection of Air in a Square Cavity: A Benchmark Solution . Int. J. Numer. Meth. Fluids , 3 : 249
   Web of Science ®Google Scholar
• Groh , H. C. de , III and Yao , M. 1994 . Numerical and Experimental Study of Transport Phenomena in Directional Solidification of Succinonitrile, in Transport Phenomena in Solidification, HTD , Vol. 284 , New York : ASME .
   Google Scholar
• Yeoh , G. H. , Vahl Davis , G. de , Leonardi , E. , Groh , H. C. de , III and Yao , M. 1997 . A Numerical and Experimental Study of Natural Convection and Interface Shape in Crystal Growth . J. Cryst. Growth , 173 : 492
   Google Scholar
• Paradies , C. J. 1993 . The Influence of Forced Convection during Solidification on Fragmentation of the Mushy Zone of a Casting, Ph.D. thesis , Troy, NY : Rensselaer Polytechnic Institute .
   Google Scholar