A Numerical Study for the Role of Natural Convection in the Melting of a GaSb/InSb/GaSb Sandwich System

References

• Yao , L. S. and Prusa , J. 1989 . “ Melting und Freezing ” . In Advances in Heat Transfer , Edited by: Hartness , J. P. and Irvine Jr , T. F. Vol. 19 , 1 – 95 . San Diego : Academic Press .
   Google Scholar
• Beckermann , C. and Wang , C. Y. 1995 . “ Multiphase/ -Scale Modeling of Alloy Solidification ” . In Annual Review of Heat Transfer , Edited by: Tien , C. L. Vol. 6 , 115 – 198 . New York : Begell House .
   Google Scholar
• Prescott , P. J. and lncropera , F. P. 1996 . “ Convection Heal and Mass Transfer in Alloy Solidification ” . In Advances in Heal Transfer , Edited by: Poulikakos , D. Vol. 28 , 231 – 338 . San Diego : Academic Press .
   Google Scholar
• Okilsu , K. , Hayakawa , Y. , Yamaguchi , T. , Hirata , A. , Fujiwara , S. , Okano , Y. , Imaishi. , N. , Yoda , S. , Oida , T. and Kumagawa , M. 1997 . Melt Mixing of the 31n/0.7GaSb/0.3Sb Solid Combination Under Microgravity . Jpn. J. Appi. Phys. , 36 : 3613 – 3619 .
   Google Scholar
• Matsumoto , S. , Maekawa , T. and Takahashi , K. 1997 . Numerical Analysis of In P Solution Growth by Travelling Heater Method: Traasient Response in the Case of No Heater Movement . Int. J. Heat Mass Transfer , 40 : 3237 – 3245 .
   Google Scholar
• A. Hirata, Y. Okano, K. Yakushiji, and B. Harrison. The Czochralski Process, in A. S. Mnjumtlar and R. A. Mashclkar (eds.). Advances in Transport Processes. Chap. 8. Elsevier. North-Holland. 1992.
   Google Scholar
• Bergman , T. L. and Hyun , M. T. 1996 . Simulation of Two-Dimensional Thermosolutal Convection in Liquid Metals induced by Horizontal Temperature and Species Gradients . Int. J. Heat Mass Transfer , 39 : 2883 – 2894 .
   Web of Science ®Google Scholar
• Simpson , J. E. and Garimella , S. V. 1998 . An Investigation of the Solutal. Thermal and Flow Fields in Unidirectional Alloy Solidification . Int. J. Heat Transfer , 41 : 2485 – 2502 .
   Google Scholar
• Simpson , J. F. and Garimclla , S. V. 2000 . The Influence of Gravity Levels on the Hori/outal Bridgman Crystal Growth of an Alloy . Int. J. Heat Mass Transfer , 43 : 1905 – 923 .
   Google Scholar
• Hiraoka , Y. , lkegami , K. , Maekawa , T. , Mutsumoto , S. , Yoda , S. and Kinoshita , K. 2000 . Numerical Analysis of Crystal Growth of an InAs-GaAs Binary Semiconductor Under Microgravity Conditions . J Phys. D: Appl. Phys. , 33 : 2508 – 2518 .
   Google Scholar
• Hayakawa , Y. , Okano , Y. , Hirala , A. , Imaishi , N. , Kumagiri , Y. , Zhing , X. , Xie , X. , Yuan. , B. , Wu , F. , Liu , H. , Yamaguchi , T. and Kumagawa , M. 2000 . Experimental and Numerical Investigations on Dissolution and Recrystallization Processes of GaSh/InSh/GaSh Under Microgravity and Terrestrial Conditions . J. Crystal Growth , 213 : 40 – 50 .
   Web of Science ®Google Scholar
• Panish , M. B. and Hegrems , M. 1972 . Progress in Solid State Chemistry , Vol. 7 , 68 London and New York : Pergamon Press .
   Google Scholar
• Saitoh , T. 1978 . Numerical Method fur Multi-Dimensional Freezing Problems in Arbitrary Domains . Trans. ASME. J. Heat Transfer , 100 : 294 – 299 .
   Web of Science ®Google Scholar
• T. Kawamura and K. Kuwaharn, Compulation of High Reynolds Number Flow Around Circular Cylinder with Surface Roughness, AIAA Paper 84-0340, 1984.
   Google Scholar
• Lacroix , M. 1990 . Analysis of Mixed Convection Melting of a Pure Metal . Numerical Heat Transfer. Part A , 17 : 401 – 416 .
   Web of Science ®Google Scholar
• Lacroix , M. and Arsenault , A. 1993 . Analysis of Natural Convection Melting of a Subcooled Pure Metal . Numerical Heat Transfer. Part A. , 23 : 21 – 34 .
   Web of Science ®Google Scholar
• Rady , M. A. and Mohanty , A. K. 1996 . Natural Convection During Melting and Solidification of Pure Metals in a Cavity . Numerical Heal Transfer. Pan A. , 29 : 49 – 63 .
   Web of Science ®Google Scholar
• Yeoh , G. H. , Behnia. , M. , Vahl Davis , G. de and Leonardi , F. 1990 . A Numerical Sludy of ThreeDimensional Natural Convection During Freezing of Water . Int. J. Numer. Meth in Eng. , 30 : 899 – 914 .
   Web of Science ®Google Scholar
• Yeoh , U. H. , Vahl Davis , G. de , Leonardi , E. , Groh , H. C. de , III and Yao , M. 1997 . A Numerical and Experimental Study of Natural Convection und Interface Shape in Crystal Growth . J. Crystal Growth , 173 : 492 – 502 .
   Google Scholar
• Sakai , S. , Okano , Y. and Koyama , M. 1998 . The Effect of Marangoni Convection on the Melting of a Crystal . Computer ,Modeling & Simulation in Engineering , 3 : 235 – 240 .
   Google Scholar
• Bennon , W. D. and lncropera , K. P. 1987 . The Evolution of Macrosegregation in Statically Cast Binary Ingots . Metal. Tras. B. , 18B : 611 – 616 .
   Web of Science ®Google Scholar
• Beckermann , C. and Viskanta , R. 1988 . Double-Diffusive Convection During Dendritic Solidification of a Binary Mixture . Physico Chem. Hydrodynamics , 10 : 195 – 213 .
   Google Scholar
• Voller , V. R. , Brent , A. D. and Prakash , C. 1989 . The Modeling of Heat . MASS and Solute Transport in Solidification Systems, Int. J. Heat Mass Transfer , 32 : 1719 – 1731 .
   Web of Science ®Google Scholar
• Ni , J. and Beckerniann , C. 1991 . A Volume-Averaged Two-Phase Model for Transport Phenomena During Solidification . Metall. Trus., B , 22B : 349 – 361 .
   Web of Science ®Google Scholar
• Amberg , G. 1991 . Computation of Macrosegregation in an Iron-Carbon Cast . Int. J. Heat Mass Transfer , 34 : 217 – 227 .
   Web of Science ®Google Scholar
• Felicelli , S. D. , Heinrich , J. C. and Poirier , D. R. 1991 . Simulation of Freckles During Vertical Solidification of Binary Alloys . Metall. Tras. B , 22B : 847 – 859 .
   Web of Science ®Google Scholar
• Beckermann , C. and Viskanta , R. 1993 . Mathematical Modeling of Transport Phenomena During Alloy Solidification . Appt. Meek. Rev. , 46 : 1 – 27 .
   Google Scholar
• Schneider , M. C. and Beckcrmann , C. 1995 . Formation of Macrosegregation by Multicomponent Thermosolutal Convection During the Solidifiai lion of Steel . Metall. Tras. B. , 26A : 2373 – 2388 .
   Web of Science ®Google Scholar
• Swaminuthan , C. R. and Voller , V. R. 1997 . Towards u General Numerical Scheme for Solidification Systems . Int. J. Heal Mass Transfer , 40 : 2859 – 2868 .
   Google Scholar
• Krane und , M. J. M. and lncropera , F. P. 1997 . Solidification of Ternary Metal Alloys--II. Predictions of Convective Phenomena and Solidification Behavior in Pb-Sb-Sn Alloys . Int. J. Heal Mass Transfer , 40 : 3837 – 3847 .
   Google Scholar
• Kim , J. H. , Park , J. W. , Lee , C. H. and Yoon , E. P. 1997 . Numerical Modeling of Microsegregation in Binary Alloys . J. Crystal Growth , 173 : 550 – 560 .
   Google Scholar
• Yoon , H. and Kim , C.-J. 1998 . A Refined Solute Diffusion Model for Columnar Dendritic Alloy Solidification . Int. J. Heat Manx Transfer , 41 : 4379 – 4383 .
   Google Scholar
• Voller , V. R. 1999 . A Semi-Analytical Model of Microsegregation in a Binary Alloy . J. Crystal Growth , 197 : 325 – 332 .
   Google Scholar
• Voller , V. R. 1999 . A Semi-Analytical Model of Microsegregation .and Coarsening in a Binary Alloy . J. Crystal Growth , 197 : 333 – 340 .
   Google Scholar
• Nastac , L. 1999 . Influence of Gravity Acceleration on Macrosegregation and Macrostructure During ihe Unidirectional Solidification of Cast Binary Alloys: A Numerical Investigation. Numerical Heat Transfer . Part A , 35 : 173 – 189 .
   Google Scholar
• Voller , V. R. 2000 . A Model of Microsegregation During Binary Alloy Solidification . Int. J. Heat Mass Transfer , 43 : 2047 – 2052 .
   Web of Science ®Google Scholar