| References |
Alexandrov, D.V., Buyevich Yu., A., Mansurov, V.V., Vabishchevich, P.N., Churbanov, A.G., (1997) Computer Simulation of Binary Melt Crystallization with Changeover of Boundary Conditions, Multiple Scale Analyses and Coupled Physical Systems, pp. 529-534. , Symposium Saint-Venant, Paris , France; Alexandrov, D.V., Solidification with a quasiequilibrium mushy region: Exact analytical solution of nonlinear model (2001) J. Crystal Growth, 222, pp. 816-821; Alexandrov, D.V., Solidification with a quasiequilibrium two-phase zone (2001) Acta Mater., 49, pp. 759-764; Alexandrov, D.V., Aseev, D.L., One-dimensional solidification of an alloy with a mushy zone: Thermodiffusion and temperature-dependent diffusivity (2005) Journal of Fluid Mechanics, 527, pp. 57-66. , DOI 10.1017/S0022112004003052; 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. , DOI 10.3189/172756406781811213; Alexandrov, D.V., Malygin, A.P., Self-similar solidification of an alloy from a cooled boundary (2006) Int. J. Heat Mass Transfer, 49, pp. 763-769; Alexandrov, D.V., Malygin, A.P., (2006) Analytical Description of Seawater Crystallization in Ice Fissures and Their Influence on Heat Exchange between the Ocean and the Atmosphere, Doklady, Earth Sci., (9), pp. 1407-1411. , 411A; Alexandrov, D.V., Aseev, D.L., Nizovtseva, I.G., Huang, H.-N., Lee, D., Nonlinear dynamics of directional solidification with a mushy layer. Analytic solutions of the problem (2007) International Journal of Heat and Mass Transfer, 50 (17-18), pp. 3616-3623. , DOI 10.1016/j.ijheatmasstransfer.2007.02.006, PII S0017931007001512; Aseev, D.L., Alexandrov, D.V., Unidirectional solidification with a mushy layer. the influence of weak convection (2006) Acta Mater., 54, pp. 2401-2406; Avdonin, N.A., (1980) Mathematical Description of Crystallization Processes, , Zinatne, Riga; Batchelor, G.K., Transport properties of two-phase materials with random structure (1974) Ann. Rev. Fluid Mech., 6, pp. 227-255; Borisov, V.T., (1987) Theory of the Two-Phase Zone of A Metal Ingot, , Metallurgia, Moscow; Buyevich Yu., A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , Begell House, New York; Buyevich Yu., A., Alexandrov, D.V., (2005) Heat Transfer in Dispersions, , Begell House, New York; Fowler, A.C., The formation of freckles in binary alloys (1985) IMA J. Appl. Math., 35, pp. 159-174; Hills, R.N., Loper, D.E., Roberts, P.H., A thermodynamically consistent model of a mushy zone (1983) Quart. J. Appl. Math., 36, pp. 505-539; Huppert, H.E., Worster, M.G., Dynamic solidification of a binary alloy (1985) Nature, 314, pp. 703-707; Ivantsov, G.P., Diffusive supercooling in binary alloy solidification (1951) Trans. Acad. Sci., 81, pp. 179-182. , USSR [Doklady Akademii Nauk SSSR] [in Russian]; Koyalo, M.V., Investigation of the feasibility of supercooling melt in the two-dimensional case (1974) Problems of the Theory of Crystallization, Riga; Martin, S., Kauffman, P., The evolution of under-ice melt ponds, or double diffusion at the freezing point (1974) J. Fluid Mech., 44 (3), pp. 507-527; Meirmanov, A.M., The stefan problem (1992) W. de Gruyter Expositions in Mathematics, , Berlin; Morison, J., McPhee, M., Muench, R., The leadEx experiment (1993) EOS Trans. AGU, 74, pp. 393-397; McPhee, M.G., (1986) The Upper Ocean, pp. 133-141. , The Geophysics of Sea Ice, Plenum, New York; McPhee, M.G., A time-dependent model for turbulent transfer in a stratified oceanic boundary layer under pack ice (1987) J. Geophys. Res., 92, pp. 6987-16986; McPhee, M.G., Maykut, G.A., Morison, J.H., Dynamics and thermodynamics of the ice/upper ocean system in the marginal ice zone of the greenland sea (1987) J. Geophys. Res., 92, pp. 7017-7031. , No. C7; Notz, D., McPhee, M.G., Worster, M.G., Maykut, G.A., Schlünzen, K.H., Eicken, H., Impact of underwater-ice evolution on arctic summer sea ice (2003) J. Geophys. Res., 108, pp. 3223-3228. , C7; Owen, P.R., Thomson, W.R., Heat transfer across rough surfaces (1963) J. Fluid Mech., 15, pp. 321-334; Perovich, D.K., Gow, A.J., A quantitative description of sea ice inclusions (1996) Journal of Geophysical Research, 101 (C8), pp. 18327-18343; Wettlaufer, J.S., Worster, M.G., Huppert, H.E., Solidification of leads: Theory, experiment and field observations (2000) J. Geophys. Res., 105, pp. 1123-1134; Worster, M.G., Solidification of an alloy from a cooled boundary (1986) J. Fluid Mech., 167, pp. 481-501; Yaglom, A.M., Kader, B.A., Heat and mass transfer between a roughwall and turbulent flow at high reynolds and peclet numbers (1974) J. Fluid Mech., 62, pp. 601-623 |