. Aucun-accord-n, apparaît clairement pour la chaleur latente de fusion. La valeur de cette propriété critique varie fortement selon les auteurs. Nous avons choisi la valeur de 272 kJ/kg, proposée par Ballantyne, qui est aussi égale à la moyenne pondérée de toutes les chaleurs latentes de fusion des éléments composant l'alliage 718

L. Enfin, . Tableau-montre, and . Qu, il existe un bon accord entre tous les auteurs en ce qui concerne les valeurs de l'émissivité, de la viscosité dynamique et du coefficient d'expansion thermique, si bien que ces propriétés ont été fixées respectivement à 0

P. Auburtin, T. Wang, S. L. Cockcroft, and A. Mitchell, Freckle formation and freckle criterion in superalloy castings, Metallurgical and materials transactions, pp.31-801, 2000.

A. S. Ballantyne and A. Mitchell, Modelling of ingot thermal fields in consumable electrode remelting processes, Ironmaking and Steelmaking, issue.4, pp.222-239, 1977.

A. S. Ballantyne, Heat flow in consumable electrode remelted ingots, 1978.

A. S. Ballantyne and A. Mitchell, The prediction of ingot structure in VAR/ESR Inconel 718, Vacuum metallurgy conference on special melting, pp.599-623, 1979.

J. P. Bellot, E. Hess, S. Hans, and D. Ablitzer, A comprehensive simulation of the electron beam cold hearth refining of titanium alloys, Proceedings of the liquid metal processing and casting conference, pp.166-178, 1997.

L. A. Bertram and F. J. Zanner, Interaction between computational modeling and experiments for vacuum consumable arc remelting, Proceedings of modeling and welding, pp.333-349, 1980.

A. Wegman, D. D. Williamson, and R. L. , Quantitative simulations of a superalloy VAR ingot at the macroscale, Proceedings of the liquid metal processing and casting conference, pp.110-132, 1997.

L. A. Bertram, R. S. Minisandram, and K. O. Yu, Vacuum arc remelting and electroslag remelting, Modeling for casting and solidification processing, pp.565-612, 2002.

J. Blumm and J. B. Henderson, Measurement of the volumetric expansion and bulk density of metals in the solid and molten regions, High Temperatures-High Pressures, vol.32, issue.1, pp.109-113, 2000.
DOI : 10.1068/htwu520

G. K. Bouse, Application of a modified phase diagram to the production of cast Alloy 718 components, Superalloys 718 ? Metallurgy and Applications, pp.69-77, 1989.

K. Bungardt and K. Trömel, Fusion au four à arc sous vide à électrode consommable, Archiv, pp.725-737, 1964.

A. Choudhury, Vacuum metallurgy, pp.168-169, 1990.

S. L. Cockcroft, T. Degawa, A. Mitchell, D. W. Tripp, and D. A. Schmalz, Inclusion Precipitation in Superalloys, Superalloys 1992 (Seventh International Symposium), pp.577-586, 1992.
DOI : 10.7449/1992/Superalloys_1992_577_586

B. K. Damkroger, J. B. Kelley, M. E. Schlienger, J. A. Van-den-avyle, R. L. Williamson et al., The Influence of VAR Processes and Parameters on White Spot Formation in Alloy 718, Superalloys 718, 625, 706 and Various Derivatives (1994), pp.706-125, 1994.
DOI : 10.7449/1994/Superalloys_1994_125_135

J. Dupont and C. Robino, The influence of Nb and C on the solidification microstructures of Fe-Ni-Cr alloys, Scripta materiala, pp.449-454, 1999.

E. R. Eckert, Introduction to Heat and Mass Transfer, Journal of Applied Mechanics, vol.31, issue.2, pp.158-162, 1950.
DOI : 10.1115/1.3629648

H. Eiselstein, Metallurgy of colombium-hardened nickel-chromium-iron alloy, Advances in the technology of stainless steels and related alloys, 1965.

J. P. Erdeljac, H. Henein, and A. Mitchell, Melting kinetics of segregated particles in VAR 718, ISS transactions, issue.6, pp.51-63, 1985.

M. D. Evans and J. F. Radavich, The relationship of white spots and precipitation reactions in Alloy 718, Proceedings of the vacuum metallurgy conference, pp.65-69, 1989.

S. M. Grose, The vacuum arc remelting of large diameter Alloy 706, Superalloys 718, 625, 706 and Various Derivatives, pp.49-53, 1994.

J. P. Gu and C. Beckermann, Simulation of convection and microsegregation in a large steel ingot, Metallurgical and materials transactions A, pp.30-1357, 1999.

S. Hans, A. Jardy, and D. Ablitzer, A numerical model for the prediction of transient turbulent fluid flow, heat transfer and solidification during vacuum arc remelting, Proceedings of the liquid metal processing and casting conference, pp.143-154, 1994.

S. Hans, Modelling of the coupled heat, solute and momentum transfers during vacuum arc remelting (VAR) ? Application to titanium alloys, 1995.

H. Heywood, Symposium on interactions between fluids and particles, pp.1-8, 1963.

L. G. Hosamani, W. E. Wood, and J. H. Delvetian, Solidification of Alloy 718 during vacuum arc remelting with helium gas cooling between ingot and crucible, Superalloy 718 ? Metallurgy and Applications, pp.49-57, 1989.

L. A. Jackman, G. E. Maurer, and S. E. Widge, White Spots in Superalloys, Superalloys 718, 625, 706 and Various Derivatives (1994), pp.706-153, 1994.
DOI : 10.7449/1994/Superalloys_1994_153_166

A. Jardy, Modélisation des procédés de refusion à electrode consommable, 1984.

A. Jardy, A. F. Wilson, D. Lasalmonie, and D. Ablitzer, Development of an enhanced mathematical model having reduced computation time to simulate vacuum arc remelting of titanium and zirconium alloys, Proceedings of the liquid metal processing and casting conference, pp.200-210, 2001.

A. Jardy, T. Quatravaux, and D. Ablitzer, The effect of electromagnetic stirring on the turbulent flow of liquid metal in a vacuum arc remelted ingot, Multiphase Phenomena and CFD Modeling and Simulation in Materials Processes conference, pp.265-277, 2004.

D. D. Keiser and H. L. Brown, A review of the physical metallurgy of Alloy 718, 1976.
DOI : 10.2172/4016087

R. Kennedy, S. Ballantyne, B. Bond, and L. Jackman, Large Diameter Superalloy Ingots, Advanced Technologies for Superalloy Affordability, p.164, 2000.

G. A. Knorovsky, M. J. Cieslak, T. J. Headley, A. D. Romig, J. et al., INCONEL 718: A solidification diagram, Metallurgical Transactions A, vol.51, issue.no. 12, pp.20-2149, 1989.
DOI : 10.2207/qjjws1943.51.989

S. Kou, . D. Poirier, and M. C. Flemings, Electric furnace proceedings, pp.35-221, 1977.

S. Kou, . D. Poirier, and M. C. Flemings, Macrosegregation in rotated remelted ingots, Metallurgical and materials transactions B, pp.35-711, 1978.

P. D. Lee, R. M. Lothian, L. J. Hobbs, and M. Mclean, Coupled Macro-Micro Modelling of the Secondary Melting of Turbine Disc Superalloys, Superalloys 1996 (Eighth International Symposium), pp.435-442, 1996.
DOI : 10.7449/1996/Superalloys_1996_435_442

L. Roux, T. Wells, and D. A. , An assessment and comparison of the sensitivity of various macroetches, Superalloys 718 ? Metallurgy and applications, pp.109-118, 1989.

G. E. Maurer, Superalloys, supercomposites and superceramics, pp.49-97, 1989.

G. E. Maurer, Advances in secondary melting of nickel-based superalloys, Proceedings of the third international SAMPE metals conference, pp.517-528, 1992.

A. Mitchell, White spots in VAR superalloy, Proceedings of the vacuum melting conference on specialty metals melting and processing, pp.55-61, 1985.

A. Mitchell, The present status of melting technology for Alloy 718, Superalloy 718 ? Metallurgy and Applications, pp.1-15, 1989.

A. Mitchell, Melting processes and solidification in alloys 718-625, Superalloys 718, 625, 706 and Various Derivatives, pp.15-27, 1991.

A. Mitchell, A. J. Schmalz, C. Schvezov, and S. L. Cockcroft, The Precipitation of Primary Carbides in Alloy 718, Superalloys 718, 625, 706 and Various Derivatives (1994), pp.706-65, 1994.
DOI : 10.7449/1994/Superalloys_1994_65_78

A. Mitchell, S. L. Cockcroft, C. E. Schvezov, A. J. Schmalz, J. ?. Loquet et al., Primary carbide and nitride precipitation in superalloys containing niobium, High temperature materials and processes, pp.1-2, 1996.

J. M. Moyer, L. A. Jackman, C. B. Adasczik, R. M. Davis, and R. Forbes-jones, Advances in Triple Melting Superalloys 718, 706, and 720, Superalloys 718, 625, 706 and Various Derivatives (1994), pp.706-745, 1999.
DOI : 10.7449/1994/Superalloys_1994_39_48

R. A. Overfelt, C. A. Matlock, and M. E. Wells, Viscosity of superalloy 718 by the oscillating vessel technique, Metallurgival and materials transactions B, pp.698-701, 1996.

D. P. Patel, R. S. Minisandram, and G. E. Evans, Modeling of Vacuum Arc Remelting of Alloy 718 Ingots, Superalloys 2004 (Tenth International Symposium), pp.917-924, 2004.
DOI : 10.7449/2004/Superalloys_2004_917_924

G. Pottlacher, H. Hosaeus, E. Kaschnitz, and A. Seifter, Thermophysical properties of solid and liquid Inconel 718, Scandinavian Journal of Metallurgy, pp.31-34, 2002.

P. N. Quested, High temperature measurement of physical properties for casting simulation, pp.32-38, 2001.

P. N. Quested, K. C. Mills, R. F. Brooks, A. P. Day, R. Taylor et al., Physical property measurements for simulation modelling of heat and fluid flow during solidification, Proceedings of the liquid metal processing and casting conference, pp.1-17, 1997.

E. Samuelsson, J. A. Domingue, and C. E. Maurer, Characterizing solute-lean defects in superalloys, JOM, vol.20, issue.1, pp.27-30, 1990.
DOI : 10.1007/BF03257955

R. J. Siddall, Comparison of the attributes of VIM + ESR and VIM + VAR Alloy 718, Superalloys 718, 625, 706 and Various Derivatives, pp.29-41, 1991.

S. Rao, B. V. Gobikrishna, D. , S. Emmanual, S. J. Jha et al., Solidification modelling of vacuum arc remelted superalloy 718 ingot, and Various Derivatives, pp.706-67, 1997.

J. Szekely, Fluid Flow Phenomena in Metal Processing, pp.256-257, 1979.

K. Takachio and T. Nonomura, Improvement in the Quality of Superalloy VAR Ingots., ISIJ International, vol.36, issue.Suppl, pp.85-88, 1996.
DOI : 10.2355/isijinternational.36.Suppl_S85

S. V. Thamboo, Melt related defects in Alloy 706 and their effects on mechanical properties, Superalloys 718, 625, 706 and Various Derivatives, pp.137-152, 1994.

Y. Ueshima, S. Mizoguchi, T. Matsumiya, and H. Kajioka, Analysis of solute distribution in dendrites of carbon steel with ??/?? transformation during solidification, Metallurgical Transactions B, vol.12, issue.4, pp.845-854, 1986.
DOI : 10.1007/BF02643477

J. F. Wadier, G. Raisson, and J. Morlet, A mechanism for white spot formation in remelted ingots, Proceedings of the vacuum melting conference on specialty metals melting and processing, pp.119-126, 1985.

R. L. Williamson and G. J. Shelmidine, Current Paths During Vacuum Arc Remelting of Alloy 718, Superalloys 718, 625, 706 and Various Derivatives (2001), pp.706-91, 2001.
DOI : 10.7449/2001/Superalloys_2001_91_102

M. H. Jacobs, Grain size predictions in VAR: a critical comparison of micromodelling approaches, Proceedings of the international symposium on liquid metal processing and castings, pp.76-89, 1999.

. X. Xu, R. M. Ward, M. H. Jacobs, P. D. Lee, and M. Mclean, Tree-ring formation during vacuum arc remelting of Inconel 718: Part I. Experimental investigation, Metallurgical and materials transactions A, pp.33-1795, 2002.

. X. Xu, W. Zhang, and P. D. Lee, Tree-ring formation during vacuum arc remelting of Inconel 718: Part II. Mathematical modeling, Metallurgical and materials transactions A, pp.33-1805, 2002.

K. O. Yu, J. A. Domingue, G. E. Maurer, and G. E. Flanders, Macrosegregation in ESR and VAR Processes, JOM, vol.9, issue.1, pp.46-50, 1986.
DOI : 10.1007/BF02654416

K. O. Yu and J. A. Domingue, Control of solidification structure in VAR and ESR processed alloy 718 ingots, Superalloy 718 ? Metallurgy and Applications, pp.33-48, 1989.

F. J. Zanner and L. A. Bertram, Sandia national laboratories report SAND, pp.80-1156, 1981.

F. J. Zanner and L. A. Bertram, Vacuum Arc Remelting ? An Overview, 8th ICVM: Special Melting/Refining and Metallurgical Coating Under Vacuum or Controlled Atmosphere, pp.512-552, 1985.

W. Zhang, P. D. Lee, and M. Mclean, Inclusion Behaviour During Vacuum Arc Remelting of Nickel Based Superalloys, Intermetallics and superalloys, pp.27-30, 1999.
DOI : 10.1002/3527607285.ch21

W. Zhang, P. D. Lee, and M. Mclean, Simulation of Intrinsic Inclusion Motion and Dissolution during the Vacuum Arc Remelting of Nickel Based Superalloys, Superalloys 2000 (Ninth International Symposium), pp.29-37, 2000.
DOI : 10.7449/2000/Superalloys_2000_29_37

W. Zhang, P. D. Lee, and M. Mclean, Numerical simulation of dendrite white spot formation during vacuum arc remelting of Inconel 718, Metallurgical and materials transactions A, pp.33-443454, 2002.