Dendrite growth under forced convection: Analysis methods and experimental tests / Alexandrov D.V., Galenko P.K. // Physics-Uspekhi. - 2014. - V. 57, l. 8. - P. 771-786.

ISSN:
10637869
Type:
Article
Abstract:
An analysis is given of the nonisothermal growth of a dendrite crystal under forced fluid flow in a binary system. The theoretical model utilized employs a free moving crystal-liquid interface and makes use of the Oseen approximation for the equations of motion of the liquid. A criterion for the stable growth of two-dimensional and three-dimensional parabolic dendrites is derived under the assumption of an anisotropic surface tension at the crystal-liquid interface, which generalizes the previous known results for the stable growth of a dendrite with convection in a one-component fluid and for the growth of a dendrite in a two-component system at rest. The criterion obtained within the Oseen hydrodynamic approximation is extended to arbitrary Peclet numbers and dendrite growth with convection in a nonisothermal multicomponent system. Model predictions are compared with experimental data on crystal growth kinetics in droplets processed in electromagnetic and electrostatic levitation facilities. Theoretical and simulation methods currently being developed are applied to crystallization processes under earthly and reduced gravity conditions. © 2014 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences
Author keywords:
Index keywords:
Equations of motion; Flow of fluids; Liquids; Anisotropic surface tension; Crystallization process; Electrostatic levitation; Hydrodynamic approximation; Multi-component systems; One-component fluids;
DOI:
10.3367/UFNe.0184.201408b.0833
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84911489822&doi=10.3367%2fUFNe.0184.201408b.0833&partnerID=40&md5=fcc73b03adca0fe100a3fb5532792b02
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Affiliations Department of Mathematical Physics, Ural Federal University, Prosp. Lenina 51, Ekaterinburg, Russian Federation; Friedrich-Schiller-Universität-Jena, Physikalisch-Astronomische Fakultät, Löbdergraben Strasse 32, Jena, Germany; Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Köln, Germany
Funding Details DAAD, Deutsches Zentrum für Luft- und Raumfahrt; 50WM1140, DLR, Deutsches Zentrum für Luft- und Raumfahrt; ESA-ELIPS AO-2004-144, ESA, Deutsches Zentrum für Luft- und Raumfahrt
References Chernov, A.A., (1984) Modern Crystallography III: Crystal Growth, , (Ed.-in-Chief B K Vainshtein) (Berlin: Springer-Verlag); (1980) Sovremennaya Kristallografiya, 3, p. 3. , Translated from Russian: (Ed.-in-Chief B K Vainshtein) (Moscow: Nauka); Borisov, V.T., Teoriya dvukhfaznoi zony metallicheskogo slitka (1987) The Theory of Two-Phase Zone in a Metal Ingot, , Moscow: Metallurgiya; Trivedi, R., Kurz, W., (1994) Int. Mater. Rev., 39, p. 49; Ovsienko, D.E., Zarozhdenie i rost kristallov iz rasplava (1994) Crystal Nucleation and Growth from Melts, , Kiev: Naukova Dumka; Galenko, P.K., Zhuravlev, V., (1994) A Physics of Dendrites, , Singapore: World Scientific; Fedorov, O.P., Protsessy rosta kristallov: Kinetika, formoobrazovanie, neodnorodnosti (2010) Crystal Growth Processes: Kinetics, Formation, Inhomogeneities, , Kiev: Naukova Dumka; Kurz, W., Fisher, D.J., (1989) Fundamentals of Solidification, , 3rd ed. (Aedermannsdorf: Trans Tech Publ.); Zhuravlev, V.A., Zatverdevanie i kristallizatsiya splavov s geteroperekhodami (2006) Solidification and Crystallization of Heterotransition Alloys, , Moscow: Inst. Komp'yut. Issled., RKhD; Herlach, D., Galenko, P., Holland-Moritz, D., (2007) Metastable Solids from Undercooled Melts, , Amsterdam: Elsevier; Herlach, D.M., Galenko, P.K., Hartmann, H., (2008) Rubin Wissenschaftsmag. Ruhr Univ. Bochum, (3-5), p. 30; Langer, J.S., (1980) Rev. Mod. Phys., 52, p. 1; Umantsev, A.R., Vinogradov, V.V., Borisov, V.T., (1986) Sov. Phys. Crystallogr., 31, p. 596; (1986) Kristallografiya, 31, p. 1002; Boettinger, W.J., (2002) Annu. Rev. Mater. Res., 32, p. 163; Asta, M., (2009) Acta Mater., 57, p. 941; Eckler, K., Herlach, D.M., (1994) Mater. Sci. Eng. A, 178, p. 159; Galenko, P.K., (2004) Mater. Sci. Eng. A, 375-377, p. 488; Funke, O., (2006) J. Cryst. Growth, 297, p. 211; Ivantsov, G.P., (1947) Dokl. Akad. Nauk SSSR, 58, p. 567; Ivantsov, G.P., (1952) Dokl. Akad. Nauk SSSR, 83, p. 573; Ivantsov, G.P., Rost kristallov. Materialy vtorogo soveshchaniya po rostu kristallov, Moskva, 23 Marta-1 Aprelya 1959 g (1961) Proc. of the Second Meeting on Crystal Growth, Moscow, March 23-April 1, 1959, 3. , (Exec. Eds A V Shubnikov, N N Sheftal') (Moscow: Izd. AN SSSR); Temkin, D.E., (1960) Dokl. Akad. Nauk SSSR, 132, p. 1307; Temkin, D.E., (1962) Kristallografiya, 7, p. 446; Horvay, G., Cahn, J.W., (1961) Acta Metallurg., 9, p. 695; Mullins, W.W., Sekerka, R.F., (1964) J. Appl. Phys., 35, p. 444; Nash, G.E., Glicksman, M.E., (1974) Acta Metallurg., 22, p. 1283; Langer, J.S., Müller-Krumbhaar, H., (1978) Acta Metallurg., 26, p. 1681; Willnecker, R., Herlach, D.M., Feuerbacher, B., (1989) Phys. Rev. Lett., 62, p. 2707; Kessler, D.A., Koplik, J., Levine, H., (1988) Adv. Phys., 37, p. 255; Brener, E., Melnikov, V.I., (1991) Adv. Phys., 40, p. 53; Dash, S.K., Gill, W.N., (1984) Int. J. Heat Mass Trans., 27, p. 1345; Benamar, M., Bouissou, Ph., Pelce, P., (1988) J. Cryst. Growth, 92, p. 97; Bouissou, Ph., Pelcé, P., (1989) Phys. Rev. A, 40, p. 6673; Ben Amar, M., Pelcé, P., (1989) Phys. Rev. A, 39, p. 4263; Galenko, P.K., Herlach, D.M., (2008) Phase Transformations in Multicomponent Melts, p. 353. , (Ed. DM Herlach) (Weinheim: Wiley-VCH); Herlach, D.M., (1991) Annu. Rev. Mater. Sci., 21, p. 23; Herlach, D.M., (1993) Int. Mater. Rev., 38, p. 273; Herlach, D.M., (1994) Mater. Sci. Eng. R, 12, p. 177; Glicksman, M.E., Koss, M.B., Winsa, E.A., (1994) Phys. Rev. Lett., 73, p. 573; Mathiesen, R.H., (2006) Metallurg. Mater. Trans. A, 37, p. 2515; Ruvalcaba, D., (2007) Acta Mater., 55, p. 4287; Ramirez, J.C., Beckermann, C., (2005) Acta Mater., 53, p. 1721; Jeong, J.-H., Goldenfeld, N., Dantzig, J.A., (2001) Phys. Rev. E, 64, p. 041602; Galenko, P.K., (2004) Computational Modeling and Simulation of Materials III. Proc. of the 3rd Intern. Conf., Acireale, Sicily, Italy, May 30-June 4, 2004, p. 565. , (Eds P Vincenzini, A Lami, F Zerbetto) (Faenza: Techna); Hyers, R.W., (2004) Ann. New York Acad. Sci., 1027, p. 474; Volkmann, Th., (2008) Phase Transformations in Multicomponent Melts, p. 227. , (Ed. D M Herlach) (Weinheim: Wiley-VCH); Matson, D.M., (2010) J. Jpn. Soc. Microgr. Appl., 27, p. 238; Herlach, D.M., Galenko, P.K., (2007) Mater. Sci. Eng. A, 449-451, p. 34; Reutzel, S., (2007) Appl. Phys. Lett., 91, p. 041913; Reutzel, S., (2008) Proc. of the 59th Intern. Astronautical Congress, IAC 2008, Glasgow, Scotland, 29 September-3 October 2008, 1, p. 593. , Red Hook, NY: Curran Associates, Inc; Schwarz, M., (1994) Phys. Rev. Lett., 73, p. 1380; Karma, A., (1998) Int. J. Non-Equilibrium Processes, 11, p. 201; Lipton, J., Glicksman, M.E., Kurz, W., (1987) Metallurg. Trans. A, 18, p. 341; Lipton, J., Kurz, W., Trivedi, R., (1987) Acta Metallurg., 35, p. 957; Alexandrov, D.V., Galenko, P.K., Herlach, D.M., (2010) J. Cryst. Growth, 312, p. 2122; Alexandrov, D.V., Malygin, A.P., Galenko, P.K., Proc. 8th Intern. Conf. on Heat Transfer, Fluid Mechanics and Thermodynamics, Mauritius, 11-13 July 2011, p. 299; Herlach, D.M., Galenko, P.K., (2010) J. Jpn. Soc. Microgr. Appl., 27, p. 245; Davidoff, E., (2013) Acta Mater., 61, p. 1078; Chan, S.-K., Reimer, H.H., Kahlweit, M., (1976) J. Cryst. Growth, 32, p. 303; Huang, S.-C., Glicksman, M.E., (1981) Acta Metallurg., 29, p. 701; Emsellem, V., Tabeling, P., (1995) J. Cryst. Growth, 156, p. 285; Herlach, D.M., Matson, D.M., (2012) Solidification of Containerless Undercooled Melts, , Weinheim: Wiley-VCH; Meister, T., (2003) Control Eng. Practice, 11 (2), p. 117; Flemings, M.C., Levitation observation of dendrite evolution in steel ternary alloy rapid solidification (LODESTARS) (2003) NASA Science Requirement Document LODESTARS-RQMT-0001, , Washington, DC: NASA; Matson, D.M., Hyers, R.W., Volkmann, Th., (2010) J. Jpn. Soc. Microgr. Appl., 27 (4), p. 238; Hyers, R.W., (2012) Solidification of Containerless Undercooled Melts, p. 31. , (Eds D M Herlach, D M Matson) (Weinheim: Wiley-VCH); Tourret, D., (2011) Acta Mater., 59, p. 4665; Binder S, PhD Thesis (Bochum: Ruhr Univ., 2010); Bojarevich, V., Kao, A., Pericleous, K., (2012) Solidification of Containerless Undercooled Melts, p. 321. , (Eds D M Herlach, D M Matson) (Weinheim: Wiley-VCH); Meirmanov, A.M., (1992) The Stefan Problem, , Berlin: Walter de Gruyter; Gupta, S.C., (2003) Classical Stefan Problem, , Amsterdam: Elsevier; Lamb, H., (1945) Hydrodynamics, , New York: Dover Publ; (1947) Gidrodinamika, , Translated into Russian: (Moscow-Leningrad: Gostekhizdat); Kochin, N.E., Kibel, I.A., Roze, N.V., (1964) Theoretical Hydromechanics, , New York: Interscience Publ; (1948) Teoreticheskaya Gidromekhanika, , Translated from Russian: (Leningrad-Moscow: Gostekhizdat); Kessler, D.A., Koplik, J., Levine, H., (1986) Phys. Rev. A, 33, p. 3352; Barbieri, A., Langer, J.S., (1989) Phys. Rev. A, 39, p. 5314; Pelcé, P., Bensimon, D., (1987) Nucl. Phys. B Proc. Suppl., 2, p. 259; Pelcé, P., (1988) Dynamics of Curved Fronts, , Boston: Academic Press; Fröman, N., Fröman, P.O., (1965) JWKB Approximation: Contributions to the Theory, , Amsterdam: North-Holland; (1967) VKB-Priblizhenie, , Translated into Russian: (Moscow: Mir); Zel'dovich, Ya.B., (1980) Combust. Sci. Technol., 24, p. 1; Caroli, B., (1986) Phys. Rev. A, 33, p. 442; Galenko, P., (2007) Acta Mater., 55, p. 6834; Galenko, P., (2009) Acta Mater., 57, p. 6166; Bouissou, P., Perrin, B., Tabeling, P., (1989) Phys. Rev. A, 40, p. 509R; Kurnatowski, M., Grillenbeck, Th., Kassner, K., (2013) Phys. Rev. E, 87, p. 042405; Tong, X., (2001) Phys. Rev. E, 63, p. 061601; Trivedi, R., Kurz, W., (1986) Acta Metallurg., 34, p. 1663; Galenko, P.K., Danilov, D.A., (2004) Phys. Rev. E, 69, p. 051608; Alexandrov, D.V., Galenko, P.K., (2013) Phys. Rev. E, 87, p. 062403; Alexandrov, D.V., Pinigin, D.A., (2013) Tech. Phys., 58, p. 309; (2013) Zh. Tekh. Fiz., 83 (3), p. 1; Alexandrov, D.V., Galenko, P.K., (2013) J. Phys. A Math. Theor., 46, p. 195101; Galenko, P.K., Binder, S., Ehlen, G.J., (2012) Solidification of Containerless Undercooled Melts, p. 349. , (Eds D M Herlach, D M Matson) (Weinheim: Wiley-VCH); Hartmann, H., (2008) J. Appl. Phys., 103, p. 073509; Binder, S., Galenko, P.K., Herlach, D.M., (2013) Phil. Mag. Lett., 93, p. 608; Binder, S., Galenko, P.K., Herlach, D.M., (2014) J. Appl. Phys., 115, p. 053511; Shubnikov, A.V., Parvov, V.F., Zarozhdenie i rost kristallov (1969) Crystal Nucleation and Growth, , Moscow: Nauka
Publisher Turpion Ltd
Language of Original Document English
Abbreviated Source Title Physics-Uspekhi
Source Scopus