A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems—II. Application to solidification in a rectangular cavity

International Journal of Heat and Mass Transfer - Tập 30 - Trang 2171-2187 - 1987
W.D. Bennon1, F.P. Incropera1
1Heat Transfer Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, U.S.A.

Tài liệu tham khảo

Sparrow, 1977, Analysis of melting in the presence of natural convection in the melt region, J. Heat Transfer, 99, 520, 10.1115/1.3450736 Yao, 1984, Natural convection effects in the continuous casting of a horizontal cylinder, Int. J. Heat Mass Transfer, 27, 697, 10.1016/0017-9310(84)90139-X Kroeger, 1974, The solution of a two-dimensional freezing problem including convection effects in the liquid region, Int. J. Heat Mass Transfer, 17, 1191, 10.1016/0017-9310(74)90120-3 Szekely, 1978, An experimental and analytical study of the solidification of a binary dendritic system, Met. Trans. B, 9B, 389, 10.1007/BF02654412 Ridder, 1978, Steady state segregation and heat flow in ESR, Met. Trans. B, 9B, 415, 10.1007/BF02654416 Fujii, 1979, Macrosegregation in multicomponent low alloy steel, Met. Trans. B, 10B, 331, 10.1007/BF02652503 Jackson, 1966, On the origin of the equiaxed zone in castings, Trans. Met. Soc. AIME, 236, 149 McDonald, 1969, Fluid motion through the partially solid regions of a casting and its importance in understanding A type segregation, Trans. Met. Soc. AIME, 245, 1993 McDonald, 1970, Convective fluid motion within the interdendritic liquid of a casting, Met. Trans, 1, 1787, 10.1007/BF02642039 Dusinberre, 1958, A note on latent heat in digital computer calculations, ASME Paper No. 58-HT-7 Jeanfils, 1980, Modeling solidification in an electroslag remelted ingot, 313 Koler, 1973, Computations of heat of fusion in a mathematical model for large steel cast shapes, AFS Cast Metals Res. J, 156 Baxter, 1962, The fusion times of slabs and cylinders, J. Heat Transfer, 84, 317, 10.1115/1.3684380 Atthey, 1974, A finite difference scheme for melting problems, J. Inst. Math. Applic, 13, 353, 10.1093/imamat/13.3.353 Shamsundar, 1975, Analysis and multi-dimensional conduction phase change via the enthalpy model, J. Heat Transfer, 97, 333, 10.1115/1.3450375 Hills, 1983, A thermodynamically consistent model of a mushy zone, Q. J. Mech. Appl. Math, 36, 505, 10.1093/qjmam/36.4.505 Prandtl, 1983, Application of mixture theory to continued casting, Vol. 29, 47 Bennon, 1987, A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems I. Model formulation, Int. J. Heat Mass Transfer, 30, 2161, 10.1016/0017-9310(87)90094-9 Ostrach, 1972, Natural convection in enclosures, 10.1016/S0065-2717(08)70039-X 1985 Marshall, 1978, Natural convection effect in rectangular enclosures containing a phase change material Henze, 1981, Enhanced heal conduction in phase-change energy storage devices, Int. J. Heat Mass Transfer, 24, 459, 10.1016/0017-9310(81)90054-5 Ostrach, 1980, Natural convection with combined driving forces, PhysicoChem. Hydrodyn, 1, 233 Coriell, 1980, Convective and interfacial instabilities during unidirectional solidification of a binary alloy, J. Crystal Growth, 49, 13, 10.1016/0022-0248(80)90056-1 Brown, 1984, Finite element analysis of directional solidification of dilute and concentrated binary alloys Asai, 1978, Theoretical analysis and model experiments on the formation mechanism of channel-type segregation, Trans. ISIJ, 18, 90, 10.2355/isijinternational1966.18.90 Bird, 1960 Patankar, 1981, A calculation procedure for two-dimensional elliptic situations, Numer. Heat Transfer, 4, 409, 10.1080/01495728108961801 deVahl Davis, 1983, Natural convection of air in a square cavity: a benchmark numerical solution, Int. J. Numer. Meth. Fluids, 3, 249, 10.1002/fld.1650030305 Witzke, 1981, Diffusion field ahead of growing columnar front: discussion of the columnar-equiaxed transition, Acta Metall, 29, 365, 10.1016/0001-6160(81)90162-0 1928, International Critical Tables of Numerical Data, Physics, Chemistry, and Technology, Vols 3 and 4 Turner, 1973