References |
Stefan, J., Über die Theorie der Eisbildung, Insbesondere über die Eisbildung im Polarmeere (1891) Ann. Phys. Chem., 42, pp. 269-286; Rubinshtein, L.I., (1967) Stefan Problem, , Riga: Zvaigzne; Avdonin, N.A., (1980) Mathematical Description of Solidification Processes, , Riga: Zinatne; Tiller, W.A., Jackson, K.A., Rutter, J.W., Chalmers, B., The Redistribution of Solute Atoms during the Solidification of Metals (1953) Acta Met., 1, pp. 428-437; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , New York: Begell House; Aseev, D.L., Aleksandrov, D.V., Nonlinear Solidification Dynamics of Binary Melts with a Nonequilibrium Mushy Zone (2006) Dokl. Ross. Akad. Nauk, 408, pp. 609-613; Aseev, D.L., Alexandrov, D.V., Directional Solidification of Binary Melts with a Nonequilibrium Mushy Layer (2006) International Journal of Heat and Mass Transfer, 49, pp. 4903-4909; Ono, A., (1980) Solidification of Metals, , Moscow: Metallurgiya; Borisov, V.T., Matveev, Y.E., Determination of the Temperatures at the Beginning of the Two-Phase Zone in Binary Alloys (1962) Fiz. Met. Metalloved., 13, pp. 456-470; Borisov, V.T., Vinogradov, V.V., Tyazhel'Nikova, I.L., Quasi-Equilibrium Theory of a Mushy Zone and Its Application to the Solidification of Alloys (1977) Izv. Vyssh. Uchebn. Zaved., Chern. Metall., 5, pp. 127-134; Hills, R.N., Loper, D.E., Roberts, P.H., A Thermodynamically Consistent Model of a Mushy Zone (1983) Q. J. Mech. Appl. Math., 36, pp. 505-539; Borisov, V.T., (1987) Theory of the Mushy Zone in a Metallic Ingot, , Moscow: Metallurgiya; Alexandrov, D.V., On the Theory of Solidification with a Quasi-Equilibrium Mushy Zone (2000) Dokl. Ross. Akad. Nauk, 375, pp. 172-176; Alexandrov, D.V., Solidification with a Quasiequilibrium Mushy Region: Analytical Solution of Nonlinear Model (2001) J. Crystal Growth, 222, pp. 816-821; Alexandrov, D.V., Malygin, A.P., Analytical Description of the Solidification of Sea Water in Ice Cracks and Their Effect on the Heat Exchange between the Ocean and Atmosphere (2006) Dokl. Ross. Akad. Nauk, 411, pp. 390-394; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of Leads: Approximate Solutions of Non-linear Problem (2006) Annals of Glaciology, 44, pp. 118-122; Aseev, D.L., Alexandrov, D.V., Unidirectional Solidification with a Mushy Layer. The Influence of Weak Convection (2006) Acta Materialia, 54, pp. 2401-2406; Alexandrov, D.V., Aseev, D.L., Solidification of an Alloy with a Mushy Zone: Thermodiffusion and Temperature-Dependent Diffusivity (2005) J. Fluid Mech., 527, pp. 57-66; Alexandrov, D.V., Aseev, D.L., Directional Solidification with a Two-Phase Zone: Thermodiffusion and Temperature-Dependent Diffusivity (2006) Computational Materials Science, 37, pp. 1-6; Alexandrov, D.V., Rakhmatullina, I.V., Malygin, A.P., On the Theory of Solidification with a Two-Phase Concentration Supercooling Zone (2010) Rasplavy, 4, pp. 88-96; Alexandrov, D.V., Nonlinear Solidification Dynamics of Ternary Systems (2008) Dokl. Ross. Akad. Nauk, 422, pp. 322-326; Alexandrov, D.V., Ivanov, A.A., The Stefan Problem of Solidification of Ternary Systems in the Presence of Moving Phase Transition Regions (2009) J. Exp. Theor. Phys., 135, pp. 858-964; Alexandrov, D.V., Ivanov, A.A., Solidification of a Ternary Melt from a Cooled Boundary, or Nonlinear Dynamics of Mushy Layers (2009) International Journal of Heat and Mass Transfer, 52, pp. 4807-4811; Isachenko, V.P., Osipova, V.A., Sukomel, A.S., (1965) Heat Transfer, , Moscow: Energiya; Kaviani, M., (1994) Principles of Convective Heat Transfer, , New York: Springer; Worster, M.G., Wettlaufer, J.S., Natural Convection, Solute Trapping, and Channel Formation during Solidification of Saltwater (1997) J. Phys. Chem B, 101, pp. 6132-6136; Bergman, M.I., Fearn, D.R., Bloxham, J., Shannon, M., Convection and Channel Formation in Solidifying Pb-Sn Alloys (1997) Metall. Trans. A, 28, pp. 859-866; Solomon, T.H., Hartley, R.R., Lee, A.T., Aggregation and Chimney Formation during the Solidification of Ammonium Chloride (1999) Phys. Rev. E, 60, pp. 3063-3071; Alexandrov, D.V., Galenko, P.K., Herlach, D.M., Selection Criterion for the Growing Dendritic Tip in a Non-Isothermal Binary System under Forced Convective Flow (2010) J. Crystal Growth, 312, pp. 2122-2127; Alexandrov, D.V., Galenko, P.K., Malygin, A.P., Herlach, D.M., Selection of a Stable Growth Mode of a Parabolic Dendrite Tip during the Forced Convective Flow and Solidification of a Binary Liquid (2010) Vestn. Udmurt. Univ., 1, pp. 3-16; Kurz, W., Fisher, D.J., (1986) Fundamentals of Solidification, , Aedermannsdorf: Trans. Tech. Publications; Turner, J.S., Huppert, H.E., Sparks, R.S.J., Komatiites II: Experimental and Theoretical Investigations of Post-Emplacement Cooling and Crystallization (1986) J. Petrol., 27, pp. 397-437; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H.E., Solidification of an Alloy Cooled from above. Part 1. Equilibrium Growth (1990) J. Fluid Mech., 216, pp. 323-342; Turner, J.S., (1979) Buoyancy Effects in Fluids, , Cambridge: Cambridge University Press; Denton, R.A., Wood, I.R., Turbulent Convection between Two Horizontal Plates (1979) Int. J. Heat Mass Transfer, 22, pp. 1339-1346; McPhee, M.G., A Time-Dependent Model for Turbulent Transfer in a Stratified Oceanic Boundary Layer (1987) J. Geophys. Res., 92, pp. 6977-6986; Notz, D., McPhee, M., Worster, M.G., Impact of Underwater-Ice Evolution on Arctic Summer Sea Ice (2003) J. Geophys. Res., 108, p. 3223; Worster, M.G., Kerr, R.C., The Transient Behaviour of Alloys Solidified from below prior to the Formation of Chimneys (1994) J. Fluid Mech., 269, pp. 23-44; Worster, M.G., Huppert, H.E., Sparks, R.S., Convection and Crystallization in Magma Cooled from Above (1990) Earth Planet Sci. Lett., 101, pp. 78-89; Huppert, H.E., Worster, M.G., Vigorous Motions in Magma Chambers and Lava Lakes (1992) Chaotic Processes in the Geological Sciences, pp. 141-173. , D. A. Yuen (Ed.), New York: Springer; Ivantsov, G.P., Diffusion Supercooling during the Solidification of a Binary Alloy (1951) Dokl. Akad. Nauk SSSR, 81 (2), pp. 179-182; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., Solidification of Leads: Approximate Solutions of Non-Linear Problem (2006) Ann. Glaciol., 44, pp. 118-122; Alexandrov, D.V., Nizovtseva, I.G., Malygin, A.P., Unidirectional Solidification of Binary Melts from a Cooled Boundary: Analytical Solutions of a Nonlinear Diffusion-Limited Problem (2008) J. Phys.: Condens. Matter, 20, p. 114105; Alexandrova, I.V., Alexandrov, D.V., Aseev, D.L., Bulitcheva, S.V., Mushy Layer Formation during Solidification of Binary Alloys from a Cooled Wall: The Role of Boundary Conditions (2009) Acta Physica Polonica A, 115 (4), pp. 791-794; Scheil, E., Bemerkungen zur Schichtkiistallbildung (1942) Zeitchrift Fur Metallkunde, 34, pp. 70-72; Flemings, M., (1974) Solidification Processing, , New York: McGraw-Hill; Batchelor, G.K., Transport Properties of Two-Phase Materials with Random Structure (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Huppert, H.E., Worster, M.G., Dynamic Solidification of a Binary Melt (1985) Nature, 314, pp. 703-707; Kerr, R.C., Woods, A.W., Worster, M.G., Huppert, H.E., Solidification of an Alloy Cooled from above. Part 2. Non-equilibrium Interfacial Kinetics (1990) J. Fluid Mech., 217, pp. 331-348; Kirkpatrick, R.J., Robinson, G.R., Hays, J.F., Kinetics of Crystal Growth from Silicate Melts: Anorthite and Diopside (1976) J. Geophys. Res., 81, pp. 5715-5720 |