W. Kurz and D. J. Fisher, fundamentals of solidification " , fourth revised edition, 1998.

M. C. Flemings, Solidification Processing, 1974.

D. J. Allen and J. D. Hunt, Discussion of the nucleation and solidification of Al-Ti alloys, Met Trans. A, p.1389, 1979.

H. D. Brody and M. C. Flemings, Solute Redistribution in Dendritic Solidification, Transactions of the metallurgical society of AIME, vol.236, p.615, 1966.

P. Prescott and F. Incropera, Convection Heat and Mass Transfer in Alloy Solidification, Advances in Heat Transfer, vol.28, pp.231-337, 1996.
DOI : 10.1016/S0065-2717(08)70142-4

J. R. Sarazin and A. , Channel formation in Pb-Sn, Pb-Sb and Pd-Sn-Pb alloy ingots and comparison with the system, Metallurgical Transactions A19, pp.1861-1871, 1988.

A. F. Giamei and B. H. Kear, On the nature of freckles in nickel base superalloys, Metallurgical Transactions, vol.1, issue.11, pp.2185-92, 1970.
DOI : 10.1007/BF02643434

L. Hachani, B. Saadi, X. D. Wang, A. Nouri, K. Zaidat et al., Experimental analysis of the solidification of Sn???3 wt.%Pb alloy under natural convection, International Journal of Heat and Mass Transfer, vol.55, issue.7-8, pp.1986-1996, 2012.
DOI : 10.1016/j.ijheatmasstransfer.2011.11.054

URL : https://hal.archives-ouvertes.fr/hal-00905652

G. H. Gulliver, Metallic Alloy: their structure and constitution, 1922.

E. Scheil, Bemerkungen zur Schichtkristallbildung, Z Metallforschung, vol.34, p.70, 1942.

T. W. Clyne and W. Kurz, Solute redistribution during solidification with rapid solid state diffusion, Metallurgical Transactions A, vol.100, issue.6, p.965, 1981.
DOI : 10.1007/BF02643477

S. Kobayashi, Solute redistribution during solidification with diffusion in solid phase: A theoretical analysis, Journal of Crystal Growth, vol.88, issue.1, p.87, 1988.
DOI : 10.1016/S0022-0248(98)90010-0

J. D. Hunt, Steady state columnar and equiaxed growth of dendrites and eutectic, Materials Science and Engineering, vol.65, issue.1, p.75, 1984.
DOI : 10.1016/0025-5416(84)90201-5

R. Mehrabian, M. Keane, and M. C. Flemings, Interdendritic Fluid Flow and Macrosegregation: Influence of Gravity, Metall. Trans, vol.1, pp.1209-1220, 1979.

. Ch and . Beckermann, Macrosegregation, ASM Handbook, vol.15, pp.348-352, 2008.

D. R. Poirier, Permeability for flow of interdendritic liquid in columnar-dendritic alloys, Metallurgical Transactions B, vol.32, issue.1, pp.245-255, 1987.
DOI : 10.1007/BF02658450

I. Ohnaka and M. Matsumoto, Computer Simulation of Macrosegregation in Ingots, Tetsu-to-Hagane (J. Iron Steel Inst. Jpn.), vol.73, pp.1698-1705, 1987.

J. S. Kirkaldy and W. V. Youdelis, Contribution to the Theory of Inverse Segregation, Trans. Met. Soc. AIME, vol.212, pp.833-840, 1958.

M. C. Schneider, J. P. Gu, C. Beckermann, W. J. Boettinger, and U. R. Kattner, Modeling of micro- and macrosegregation and freckle formation in single-crystal nickel-base superalloy directional solidification, Metallurgical and Materials Transactions A, vol.28, issue.7, pp.1517-1531, 1997.
DOI : 10.1007/s11661-997-0214-3

. Ch and . Beckermann, Modelling of Macrosegregation: Applications and Future Needs, Int. Mater. Rev, vol.47, pp.243-261, 2002.

M. C. Flemings, Principles of Control of Soundness and Homogeneity of Large Ingots, Scand. J. Metall, vol.5, pp.1-15, 1976.

G. Lesoult, Macrosegregation in steel strands and ingots: Characterisation, formation and consequences, Materials Science and Engineering: A, vol.413, issue.414, pp.413-414, 2005.
DOI : 10.1016/j.msea.2005.08.203

J. P. Gu and C. Beckermann, Simulation of convection and macrosegregation in a large steel ingot, Metallurgical and Materials Transactions A, vol.15, issue.5, pp.1357-1366, 1999.
DOI : 10.1007/s11661-999-0284-5

A. V. Reddy and C. Beckermann, Modeling of macrosegregation due to thermosolutal convection and contraction-driven flow in direct chill continuous casting of an Al-Cu round ingot, Metallurgical and Materials Transactions B, vol.26, issue.9, pp.479-489, 1997.
DOI : 10.1007/s11663-997-0115-2

J. D. Hunt, Steady state columnar and equiaxed growth of dendrites and eutectic, Materials Science and Engineering, vol.65, issue.1, pp.65-75, 1984.
DOI : 10.1016/0025-5416(84)90201-5

P. D. Grasso, J. M. Dreset, and M. Rappaz, Hot Tear Formation and coalescence Observations in Organic Alloys, Journal of metals ? electronic edition, 2002.

J. S. Langer and H. Muller-krumbhaar, Theory of dendritic growth???I. Elements of a stability analysis, Acta Metallurgica, vol.26, issue.11, p.1681, 1978.
DOI : 10.1016/0001-6160(78)90078-0

W. Kurz, B. Giovanola, and R. Trivedi, Theory of microstructural development during rapid solidification, Acta Metallurgica, vol.34, issue.5, p.823, 1986.
DOI : 10.1016/0001-6160(86)90056-8

W. Kurz and D. J. Fisher, Dendrite growth at the limit of stability: tip radius and spacing, Acta Metallurgica, vol.29, issue.1, p.11, 1986.
DOI : 10.1016/0001-6160(81)90082-1

T. Z. Kattamis and M. C. Flemings, Dendrite Morphology Microsegregation and Homogeneization of Low-Alloy Steel, p.992, 1965.

U. Feurer and R. Wunderlin, fundamentals of solidification, Trans, Tech. Publication LTD. Aedermannsdorf, Switzerland, 1986.

J. Lipton, W. Heinemann, and W. Kurz, Columnar to Equiaxed Transition (CET) in castings - Part I: Determination of the CET from cooling curves, Archiv f??r das Eisenh??ttenwesen, vol.53, issue.12, p.195, 1984.
DOI : 10.1002/srin.198405436

S. C. Flood and J. D. Hunt, Columnar and equiaxed growth, Journal of Crystal Growth, vol.82, issue.3, p.552, 1987.
DOI : 10.1016/0022-0248(87)90347-2

M. Gäumann, R. Trivedi, and W. Kurz, Nucleation ahead of the advancing interface in directional solidification, Materials Science and Engineering: A, vol.226, issue.228, pp.226-228, 1997.
DOI : 10.1016/S0921-5093(97)80081-0

C. Y. Wang and C. Berckermann, A multiphase solute diffusion model for dendritic alloy solidification, Metallurgical Transactions A, vol.21, issue.12, p.2787, 1993.
DOI : 10.1016/0025-5416(84)90201-5

M. Gaümann, C. Bezençon, P. Canalis, and W. Kurz, Single-crystal laser deposition of superalloys: processing???microstructure maps, Acta Materialia, vol.49, issue.6, pp.49-1051, 2001.
DOI : 10.1016/S1359-6454(00)00367-0

C. Gandin and M. Rappaz, A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes, Acta Metallurgica et Materialia, vol.42, issue.7, p.2233, 1994.
DOI : 10.1016/0956-7151(94)90302-6

C. Gandin, J. Desbiolles, M. Rappaz, . Ph, and . Thévoz, A Three-Dimensional Cellular Automaton-Finite Element Model for the Prediction of Solidification Grain Structures, pp.30-3153, 1999.

P. Lehmann, R. Moreau, D. Camel, and R. Bolcato, Modification of interdendritic convection in directional solidification by a uniform magnetic field, Acta Materialia, vol.46, issue.11, pp.4067-4079, 1998.
DOI : 10.1016/S1359-6454(98)00064-0

C. J. Paradies, R. N. Smith, and M. E. Glicksman, The influence of convection during solidification on fragmentation of the mushy zone of a model alloy, Metallurgical and Materials Transactions A, vol.340, issue.13, p.875, 1997.
DOI : 10.1007/s11661-997-1016-3

T. Sato, W. Kurz, and K. Lkawa, Experiments on Dendrite Branch Detachment in the Succinonitrile-Camphor Alloy, Transactions of the Japan Institute of Metals, vol.28, issue.12, p.1012, 1987.
DOI : 10.2320/matertrans1960.28.1012

K. A. Jackson, J. D. Hunt, D. R. Uhlmann, and T. P. Seward, On the Origin of the Equiaxed Zone in Castings, Transaction of the Metallurgical Society of AIME, vol.236, p.149, 1966.

S. Liu, S. Lu, and A. Hellawell, Dendritic array growth in the systems NH4Cl???H2O and [CH2 CN]2???H2O: the detachment of dendrite side arms induced by deceleration, Journal of Crystal Growth, vol.234, issue.4, p.740, 2002.
DOI : 10.1016/S0022-0248(01)01680-3

J. P. Gu, C. Beckermann, and A. F. Giamei, Motion and remelting of dendrite fragments during directional solidification of a nickel-base superalloy, Metallurgical and Materials Transactions A, vol.21, issue.7, p.1533, 1997.
DOI : 10.1007/s11661-997-0215-2

A. Hellawell, J. R. Sarazin, and R. S. Steube, Channel Convection in Partly Solidified Systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.345, issue.1677, p.507, 1993.
DOI : 10.1098/rsta.1993.0143

J. Pilling and A. Hellawell, Mechanical deformation of dendrites by fluid flow, Metallurgical and Materials Transactions A, vol.34, issue.1, p.229, 1996.
DOI : 10.1007/BF02647763

M. A. Martorano, C. Beckermann, and C. Gandin, A solutale interaction mechanism for the Columnar to Equiaxed Transition in alloy solidification, Metall. Mater. Trans. A, vol.25, p.1657, 2003.

A. Badillo and C. Beckermann, Phase-field simulation of the columnar-to-equiaxed transition in alloy solidification, Acta Materialia, vol.54, issue.8, pp.2015-2026, 2006.
DOI : 10.1016/j.actamat.2005.12.025

C. Thèse-de-thomas, «Etude de l'effet du brassage électromagnétique sur les microstructures d'alliages cuivreux», 2003.

R. Thèse-de-guillaume, Dynamique de formation de la microstructure de solidification d'alliages métalliques : caractérisation par imagerie X synchrotron», 2006.

R. Bibliographiques, . Chapitre-ii-]-r, . Berton-]-r, R. Moreau, and . Moreau, Magnéto-hydrodynamique The fundamental of MHD Related to crystal Growth Progress in crystal growth and characterization of materials Magnetohydrodynamics Fluid flows induced by alternating magnetic fields, Liquid Metal Magnetohydrodynamics, pp.223-232, 1989.

E. Taberlet and Y. Fautrelle, Turbulent stirring in an experimental induction furnace, Journal of Fluid Mechanics, vol.5, issue.-1, pp.409-431, 1985.
DOI : 10.1017/S0022112081002711__S0022112081002711

]. J. Moore, Continuous Casting, 1984.

]. J. Meyer, Electromagnetic Processes in Aluminium Casthouses and Foundries : An Overview The MineralsElectromagnetic Stirring Application in Copper Bar Manufacturing, Magnetohydrodynamics in process metallurgy , J. SzekelyMagnetohydrodynamics in Materials Processing, pp.127-60, 1991.

Y. Fautrelle, Analytical and numerical aspects of the electromagnetic stirring induced by alternating magnetic fields, Journal of Fluid Mechanics, vol.8, issue.-1, p.405, 1981.
DOI : 10.1017/S0022112056000123

P. Cremer and A. Alemany, Aspects Expérimentaux du Brassage Electromagnétique en Creuset, J. Mécanique appliquée, issue.5, p.37, 1981.

E. Taberlet and Y. Fautrelle, Turbulent stirring in an experimental induction furnace, Journal of Fluid Mechanics, vol.5, issue.-1, p.409, 1985.
DOI : 10.1017/S0022112081002711__S0022112081002711

R. Krishnamurti, On the transition to turbulent convection. Part 2. The transition to time-dependent flow, Journal of Fluid Mechanics, vol.42, issue.02, pp.42-309, 1970.
DOI : 10.1017/S0022112066001423

P. J. Prescot and F. P. Incropera, The Effect of Turbulence on Solidification of a Binary Metal Alloy With Electromagnetic Stirring, Journal of Heat Transfer, vol.117, issue.3, p.716, 1995.
DOI : 10.1115/1.2822635

E. D. Tarapore and J. W. Evans, Fluid velocities in induction melting furnaces: Part I. Theory and laboratory experiments, Metallurgical Transactions B, vol.9, issue.6, p.343, 1976.
DOI : 10.1007/BF02652704

]. S. Cuevas, B. F. Pi-cologlou, J. S. Walker, G. Talmage, and T. Q. Hua, Heat transfer in laminar and turbulent liquid-metal MHD flows in square ducts with thin conducting or insulating walls, International Journal of Engineering Science, vol.35, issue.5, pp.35-505, 1997.
DOI : 10.1016/S0020-7225(96)00127-9

P. Lehmann, R. Moreau, D. Camel, and R. Bolcato, Modification of interdendritic convection in directional solidification by a uniform magnetic field, Acta Materialia, vol.46, issue.11, p.4067, 1998.
DOI : 10.1016/S1359-6454(98)00064-0

S. N. Tewari, R. Shah, and H. Song, Effect of magnetic field on the microstructure and macrosegregation in directionally solidified Pb-Sn alloys, Metallurgical and Materials Transactions A, vol.4, issue.3, pp.25-1535, 1994.
DOI : 10.1007/BF02665485

]. S. Kobayashi, Effects of an External Magnetic Field on Solute Distribution in Czochralsko Grown Crystals -A Theoretical Analysis, J. Crystal Growth, pp.75-301, 1986.

R. W. Series, Czochralski growth of silicon under an axial magnetic field, Journal of Crystal Growth, vol.97, issue.1, pp.97-85, 1989.
DOI : 10.1016/0022-0248(89)90250-9

B. Cantor and A. Vogel, Dendritic solidification and fluid flow, Journal of Crystal Growth, vol.41, issue.1, p.109, 1977.
DOI : 10.1016/0022-0248(77)90104-X

S. R. Coriell, G. B. Mcfadden, and R. F. Boisvet, Effect of a forced Couette flow on coupled convective and morphological instabilities during unidirectional solidification, Journal of Crystal Growth, vol.69, issue.1, pp.69-84, 1984.
DOI : 10.1016/0022-0248(84)90004-6

R. Ananth and W. N. Gill, Dendritic growth in microgravity and forced convection, Journal of Crystal Growth, vol.179, issue.1-2, p.263, 1997.
DOI : 10.1016/S0022-0248(97)00143-7

. Ch, A. Charbon, M. Jacot, and . Rappaz, 3D Stochastic Modelling of Equiaxed Solidification in the Presence of Grain Movement, Acta Metall. Mater, pp.42-3953, 1994.

A. Buchholz and S. Engler, The Inluence of Forced Convection on Solidification Interfaces, Comp. Mat. Science, issue.7, p.221, 1996.

M. R. Bridge and G. D. Rogers, Structural effects and band segregate formation during the electromagnetic stirring of strand-cast steel, Metallurgical Transactions B, vol.9, issue.14, p.581, 1984.
DOI : 10.1007/BF02657390

W. D. Griffiths and D. G. Mccartney, The effect of electromagnetic stirring on macrostructure and macrosegregation in the aluminium alloy 7150, Materials Science and Engineering: A, vol.222, issue.2, p.140, 1997.
DOI : 10.1016/S0921-5093(96)10527-X

D. Brabazon, D. J. Browne, A. J. Carr, and V. , Mechanical Stir Casting of Aluminium alloys form the Mushy State: Process, Microstructure amd Mechanical Properties, Mater. Sci. Eng, A, p.370, 2002.

P. Desnain, F. Durand, Y. Fautrelle, D. Bloch, J. L. Meyer et al., Effects of the Electromagnetic Stirring on the Grain Size of Industrial Aluminium Alloys : Experiments and Theoretical Predictions, Light Metals 1988, L. G. Boxall, p.487, 1988.

D. A. Currey and C. A. Pickles, Electromagnetic stirring of aluminium-silicon alloys, Journal of Materials Science, vol.20, issue.10, p.3756, 1988.
DOI : 10.1007/BF00540524

W. D. Griffiths and D. G. Mccartney, The effect of electromagnetic stirring during solidification on the structure of Al-Si alloys, Materials Science and Engineering: A, vol.216, issue.1-2, p.47, 1996.
DOI : 10.1016/0921-5093(96)10392-0

M. C. Flemings, Behavior of metal alloys in the semisolid state, Metallurgical Transactions B, vol.5, issue.4, p.269, 1991.
DOI : 10.1007/BF02651227

M. Suéry, C. L. Martin, and L. Salvo, Overview of the Rheological Behaviour of Globular and Dendritic Slurries", in 4 th International conference on semi-solid processing of alloys and composites, The University of Sheffield, p.21, 1996.

. Ch and . Vivès, Elaboration of semisolid alloys by means of new electromagnetic rheocasting processes, Met. Trans. B, vol.23, p.189, 1992.

C. J. Paradies, R. N. Smith, and M. E. Glicksman, The influence of convection during solidification on fragmentation of the mushy zone of a model alloy, Metallurgical and Materials Transactions A, vol.340, issue.13, p.875, 1997.
DOI : 10.1007/s11661-997-1016-3

T. Sato, W. Kurz, and K. Lkawa, Experiments on Dendrite Branch Detachment in the Succinonitrile-Camphor Alloy, Transactions of the Japan Institute of Metals, vol.28, issue.12, p.1012, 1987.
DOI : 10.2320/matertrans1960.28.1012

K. A. Jackson, J. D. Hunt, D. R. Uhlmann, and T. P. Seward, On the Origin of the Equiaxed Zone in Castings, pp.236-149, 1966.

S. Liu, S. Lu, and A. Hellawell, Dendritic Array Growth in the System NH4Cl- H2O and [CH2CN] 2 -H2O: The Detachment of Dendrite Side Arms Induced by Deceleration, J. Crystal Growth, pp.234-740, 2002.

J. P. Gu, C. Beckermann, and A. F. Giamei, Motion and remelting of dendrite fragments during directional solidification of a nickel-base superalloy, Metallurgical and Materials Transactions A, vol.21, issue.7, p.1533, 1997.
DOI : 10.1007/s11661-997-0215-2

A. Hellawell, J. R. Sarazin, and R. S. Steube, Channel Convection in Partly Solidified Systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.345, issue.1677, p.507, 1993.
DOI : 10.1098/rsta.1993.0143

J. Pilling and A. Hellawell, Mechanical deformation of dendrites by fluid flow, Metallurgical and Materials Transactions A, vol.34, issue.1, p.229, 1996.
DOI : 10.1007/BF02647763

S. Liu, S. Lu, and A. Hellawell, Mechanism of Dendrite Fragmentation in Castings, p.933, 1997.

Q. Han and A. Hellawell, Primary particle melting rates and equiaxed grain nucleation, Metallurgical and Materials Transactions B, vol.71, issue.1, p.169, 1997.
DOI : 10.1007/s11663-997-0139-7

Y. Kishida, K. Takeda, I. , and E. Takeuchi, Anisotropic effect of magnetohydrodynamics on metal solidification., ISIJ International, vol.30, issue.1, p.34, 1990.
DOI : 10.2355/isijinternational.30.34

K. Mazuruk, Control of melt convection using traveling magnetic fields, Advances in Space Research, vol.29, issue.4, pp.541-548, 2002.
DOI : 10.1016/S0273-1177(01)00663-9

S. Mcfadden and D. J. Browne, Modelling the columnar to equiaxed transition using a front tracking method, 5th Decennial International Conference on Solidification Processing, p.172, 2007.

M. Medina, Ségrégation par solidification en présence de convection naturelle ou forcée, Thèse d'état, 2000.

S. Yesilyurt, S. Motakef, R. Grugel, and K. Mazuruk, The effect of the traveling magnetic field (TMF) on the buoyancy-induced convection in the vertical Bridgman growth of semiconductors, Journal of Crystal Growth, vol.263, issue.1-4, pp.26380-89, 2004.
DOI : 10.1016/j.jcrysgro.2003.11.066

K. Zaidat, N. Mangelinck-noël, and R. Moreau, Control of the solidification of al-ni alloys using a travelling magnetic field: macrosegregation, TMS, editor, Modeling of Casting, Welding and Advanced Solidification Processes-XI, pp.341-347, 2006.

K. Zaidat, T. Ouled-khachroum, G. Vian, C. Garnier, N. Mangelinck-noël et al., Directional solidification of refined Al-3.5wt%Ni under natural convection and under a forced flow driven by a traveling magnetitc field, Journal of Crystal Growth, pp.275-1501, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00141908

I. Grants and G. Gerbeth, Linear three-dimensional instability of a magnetically driven rotating flow, Journal of Fluid Mechanics, vol.463, issue.463, pp.229-239, 2002.
DOI : 10.1017/S0022112002008807

X. Li, Z. M. Ren, and Y. Fautrelle, Effect of a vertical magnetic field on the dendrite morphology during Bridgman crystal growth of Al???4.5wt% Cu, Journal of Crystal Growth, vol.290, issue.2, pp.290-571, 2006.
DOI : 10.1016/j.jcrysgro.2006.02.017

URL : https://hal.archives-ouvertes.fr/hal-00141901

X. Li, Z. M. Ren, and Y. Fautrelle, Effect of an axial high magnetic field on the microstructure in directionally solidified Pb???Sn eutectic alloy, Journal of Crystal Growth, vol.310, issue.15, pp.310-3584, 2008.
DOI : 10.1016/j.jcrysgro.2008.04.043

URL : https://hal.archives-ouvertes.fr/hal-00381777

X. Li, Y. Fautrelle, K. Zaidat, A. Gagnoud, Z. Ren et al., Columnar-to-equiaxed transitions in al-based alloys during directional solidification under a high magnetic field, Journal of Crystal Growth, vol.312, issue.2, pp.312-267, 2010.
DOI : 10.1016/j.jcrysgro.2009.10.002

URL : https://hal.archives-ouvertes.fr/hal-00467578

X. Li, A. Gagnoud, Y. Fautrelle, Z. Ren, R. Moreau et al., Dendrite fragmentation and columnar-to-equiaxed transition during directional solidification at lower growth speed under a strong magnetic field, Acta Materialia, vol.60, issue.8, pp.60-3321, 2012.
DOI : 10.1016/j.actamat.2012.02.019

URL : https://hal.archives-ouvertes.fr/hal-00728090

P. Desnain, Y. Fautrelle, J. Meyer, J. Riquet, and F. Durand, Prediction of equiaxed grain density in multicomponent alloys, stirred electromagnetically, Acta Metallurgica et Materialia, vol.38, issue.8, pp.38-1513, 1990.
DOI : 10.1016/0956-7151(90)90119-2

B. Willers, S. Eckert, P. A. Nikrityk, D. Räbiger, J. Dong et al., Efficient Melt Stirring Using Pulse Sequences of a Rotating Magnetic Field: Part II. Application to Solidification of Al-Si Alloys, The Minerals, Metals & Materials Society and ASM International, 2008.
DOI : 10.1007/s11663-008-9126-x

D. Räbiger, S. Leonhardt, G. Eckert, and . Gerbeth, Flow control during solidification of SnPb-alloys using timemodulated AC magnetic fields, IOP Conf. Series: Materials Science and Engineering V. 27, pp.12053-12063, 2011.

J. P. Gu, C. Beckermann, and A. F. Giamei, Motion and remelting of dendrite fragments during directional solidification of a nickel-base superalloy, Metallurgical and Materials Transactions A, vol.21, issue.7, p.1533, 1997.
DOI : 10.1007/s11661-997-0215-2

R. Ernst and C. , Garnier : « Mesure numérique des caractéristiques d'un circuit oscillant pour le chauffage à induction », Revue Générale d'Electricité, pp.1-8, 1989.

J. Jang and A. Hellawell, Use of NH4Cl-H2O Analogue Castings to Model Aspects of Continuous Casting Part 2 : Columnar-Equiaxed Grain Transition and Crystal SedimentationRates Ironmaking and steelmaking V 18 A benchmark solidification experiment on an Sn?10%wtBi alloy, REFERENCES BIBLIOGRAPHIQUES DU CHAPITRE IV International Journal of heat and mass transfer, pp.275-50, 1991.

]. L. Hachani, Experimental analysis of the solidification of Sn???3 wt.%Pb alloy under natural convection, International Journal of Heat and Mass Transfer, vol.55, issue.7-8, pp.1986-1996, 2012.
DOI : 10.1016/j.ijheatmasstransfer.2011.11.054

URL : https://hal.archives-ouvertes.fr/hal-00905652

]. R. Boussaa, O. Budenkova, L. Hachani, X. Wang, B. Saadi et al., 2D and 3D Numerical Modeling of Solidification Benchmark of Sn-3Pb (%wt.) Alloy under Natural Convection, CFD Modeling and Simulation in Materials (TMS) 2012. [4] G. Quillet, A. Ciobanas, P. Lehmann, Y. Fautrelle, A benchmark solidification experiment on an Sn?10 wt%Bi alloy, pp.50-654, 2007.

S. Liu, S. Lu, A. Hellawell, R. A. Khairulin, and S. V. Stankus, Dendritic Array Growth in the System NH4Cl- H2O and [CH2CN] 2 -H2O: The Detachment of Dendrite Side Arms Induced by DecelerationMotion and Remelting of Dendrite Fragments during Directional Solidification of a Nickel-Base Superalloy Determination of the density of Pb-Sn Melts ans segregation phenomena on their crystallization, J. Crystal Growth Metall. Mater. Trans. A, V Journal of Engineering Thermophysics, vol.234, issue.16 3, pp.740-188, 1997.

C. A. Siqueira, N. Cheung, and A. Garcia, The columnar to equiaxed transition during solidification of Sn???Pb alloys, Journal of Alloys and Compounds, vol.351, issue.1-2, pp.351-126, 2003.
DOI : 10.1016/S0925-8388(02)01026-5

J. D. Hunt, Steady state columnar and equiaxed growth of dendrites and eutectic, Materials Science and Engineering, vol.65, issue.1, p.75, 1984.
DOI : 10.1016/0025-5416(84)90201-5

W. Kurz and D. J. Fischer, Fundamentals of Solidification, 4th revised edition, 1998.

W. Kurz, B. Giovanola, and R. Trivedi, Theory of microstructural development during rapid solidification, Acta Metallurgica, vol.34, issue.5, p.823, 1986.
DOI : 10.1016/0001-6160(86)90056-8

D. La, C. D. Forcee:-brassage-electromagnetique-x, R. Wang, J. Moreau, Y. Etay et al., « A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part I. Experiments with GaInSn» Fautrelle. « A Periodically Reversed Flow Driven by a Modulated Traveling Magnetic Field: Part II. Theoretical Model», Metall. Mat. Transaction B. V40, pp.82-90, 2009.

D. Brito, H. C. Nataf, P. Cardin, J. Aubert, J. P. Masson et al., Ultrasonic doppler velocimetry in liquid gallium Velocity measurements in liquid sodium by means of ultrasound Doppler velocimetry Measurement of velocity profile of mercury flow by ultrasound Doppler shift method, Experiments in Fluids Experiments in Fluids Nuclear Technology, issue.32, pp.31-653, 1987.

]. J. Gu, C. Beckermann, A. F. Li, and C. Beckermann, Motion and Remelting of Dendrite Fragments during Directional Solidification of a Nickel-Base SuperalloyModeling of Free Dendritic Growth of Succinonitrile- Acetone Alloys with Thermosolutal Melt Convection Fautrelle. «Control of the macrosegregations during solidification of a binary alloy by means of a AC magnetic field», Metall. Mat. Transaction A. V28, pp.1533-432, 1997.

A. Hellawell, J. R. Sarazin, and R. S. Steube, Channel Convection in Partly Solidified Systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.345, issue.1677, pp.345-507, 1993.
DOI : 10.1098/rsta.1993.0143

C. Thèse-de-thomas, «Etude de l'effet du brassage électromagnétique sur les microstructures d'alliages cuivreux», 2003.

P. D. Grasso, J. M. Dreset, and M. Rappaz, Hot Tear Formation and coalescence Observations in Organic Alloys, Journal of metals ? electronic edition, 2002.

I. Tableau, Valeurs de mesures de la fraction eutectique. L'espacement entre les points de mesure est respectivement 2,2mm dans la direction y (direction verticale de la matrice) et 7