A similarity solution for the solidification of a multicomponent alloy

Crank, 1984 Swaminathan, 1997, Towards a general numerical scheme for solidification systems, International Journal of Heat and Mass Transfer, 40, 2859, 10.1016/S0017-9310(96)00329-8 Clyne, 1981, Solute redistribution during solidification with rapid state diffusion, Metallurgical Transactions A, 12, 965, 10.1007/BF02643477 Chiareli, 1992, On measurement and prediction of the solid fraction within mushy layers, Journal of Crystal Growth, 125, 487, 10.1016/0022-0248(92)90288-T Goodman, 1958, The heat balance integral and its application to problems involving a change of phase, Transactions of ASME, 80, 335 Tien, 1967, A heat-transfer analysis of the solidification of a binary eutectic system, Journal of Heat Transfer, 89, 230, 10.1115/1.3614365 Tien, 1968, The uni-dimensional solidification of a binary eutectic system with a time-dependent surface temperature, Journal of Heat Transfer, 90, 27, 10.1115/1.3597455 Cho, 1969, Heat-conduction problems with melting or freezing, Journal of Heat Transfer, 91, 421, 10.1115/1.3580205 Muehlbauer, 1973, Transient heat transfer analysis of alloy solidification, Journal of Heat Transfer, 95, 324, 10.1115/1.3450059 Voller, 1989, Development and application of a heat balance integral method for analysis of metallurgical solidification, Applied Mathematics Modeling, 13, 3, 10.1016/0307-904X(89)90191-1 Flemings, 1968, macro-segregation, part 1, Transactions of the Metallurgical Society AIME, 242, 41 Rubinstein, 1971, The Stefan problem, Vol. 27 Goodman, 1967, Discussion of a heat-transfer analysis of the solidification of a binary eutectic system, Journal of Heat Transfer, 89, 230, 10.1115/1.3614365 Braga, 1990, Solidification of a binary solution on a cold isothermal surface, International Journal of Heat and Mass Transfer, 33, 745, 10.1016/0017-9310(90)90172-Q Fang, 1984, Selective freezing of a dilute salt solution on a cold ice surface, Journal of Heat Transfer, 106, 385, 10.1115/1.3246684 Grae Worster, 1986, Solidification of an alloy cooled from a boundary, Journal of Fluid Mechanics, 167, 481, 10.1017/S0022112086002938 Voller, 1995, A model of inverse segregation: the role of microporosity, International Journal of Heat and Mass Transfer, 38, 1009, 10.1016/0017-9310(94)00221-G