Three-dimensional double-diffusive convection and macrosegregation during non-equilibrium solidification of binary mixtures

International Journal of Heat and Mass Transfer

Volumn 46, Issue 12, 2003, Pages 2115-2134

  Chakraborty, S ^a   Dutta, P ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; DIFFUSION; ENTHALPY; MATHEMATICAL MODELS; SOLIDIFICATION;

METAL-ALLOY SYSTEMS;

BINARY MIXTURES;

BINARY MIXTURE; CONVECTION; SEGREGATION; SOLIDIFICATION; THREE-DIMENSIONAL FLOW;

EID: 0037409180     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(02)00530-6     Document Type: Article

References (26)

1. H.E. Huppert, The fluid mechanics of solidification, J. Fluid Mech. 212 (1990) 209-240.
2. J.S. Turner, Buoyancy Effects in Fluids, Cambridge University Press, 1973.
3. H.E. Huppert, J.S. Turner, Ice blocks melting into a salinity gradient, J. Fluid Mech. 100 (1980) 367-384.
4. J.S. Turner, A fluid dynamical model of differential and layering in magma chambers, Nature 285 (1980) 213-215.
5. M.E. Thompson, Y.J. Szekely, Mathematical and physical modelling of double-diffusive convection of aqueous solutions crystallizing at a vertical wall J. Fluid Mech. 187 (1988) 409-433.
6. M.S. Christenson, F.P. Incropera, Solidification of an aqueous ammonium chloride solution in a rectangular cavity-I. Experimental study, Int J. Heat Mass Transfer 32 (1989) 47-68.
7. S.L. Braga, R. Viskanta, Solidification of a binary solution on a cold isothermal surface, Int. J. Heat Mass Transfer 33 (1990) 745-754.
8. N. Ramachandran, J.P. Gupta, Y. Jaluria, Two-dimensional solidification with natural convection in the melt and convective and radiative boundary conditions, Num. Heat Transfer 4 (1981) 469-484.
9. J. Ho, R. Viskanta, Heat transfer during melting from an isothermal vertical wall, Trans. ASME C: J. Heat Transfer 106 (1984) 12-19.
10. C. Beckermann, R. Viskanta, Double-diffusive convection during dendritic solidification of binary mixture, Physico-Chem. Hydrodyn. 10 (1988) 195-213.
11. S. Ganesan, D.R. Poirier, Conservation of mass and momentum for the flow of interdendritic liquid during solidification, Metall. Trans. 21B (1990) 173-181.
12. J. Ni, C. Beckermann, A volume-averaged two-phase model for transport phenomena during solidification, Metall. Trans. 22B (1991) 349-361.
13. W.D. Bennon, Incropera, F.P. 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 (1987) 2161-2170.
14. V.R. Voller, A.D. Brent, C. Prakash, The modelling of heat, mass and solute transport in solidification systems, Int J. Heat Mass Transfer 34 (1989) 1717-1732.
15. G. Neilson, F.P. Incropera, Unidirectional solidification of a binary alloy and the effects of induced fluid motion, Int. J. Heat Mass Transfer 34 (1991) 1717-1732.
16. I. Sezai, A.A. Mohamad, Three-dimensional double-diffusive convection in a porous cubic enclosure due to opposing gradients of temperature and concentration, J. Fluid Mech. 400 (1999) 333-353.
17. P.W. Emms, A.C. Fowler, Compositional convection in the solidification of binary alloys, J. Fluid Mech. 262 (1994) 111-139.
18. M.E. Morvan, M.E. Ganaoui, P. Bonboux, Numerical simulation of a 2-D crystal growth problem in vertical Bridgman-Stockbarger furnace: latent heat effect and crystal-melt interface morphology, Int. J. Heat Mass Transfer 42 (1999) 573-579.
19. A.D. Brent, V.R. Voller, K.J. Reid, The enthalpy porosity technique for modeling convection-diffusion phase change: application to the melting of a pure metal Num. Heat Transfer 13 (1988) 297-318.
20. M.C. Flemings, Solidification Processing, McGraw-Hill, 1974.
21. J. Ni, R.J. Feller, C. Beckermann, A two-phase model of transport phenomena during solidification. In M. Rappaz, M.R. Ozgu, K.W. Mahin (Eds.), Modeling of Casting, Welding and Advanced Solidification Processes V, TSM, 1991, 675-682.
22. S. Chakraborty, P. Dutta, The effect of solutal undercooling on double-diffusive convection and macrosegregation during binary alloy solidification: a numerical investigation, Int. J. Numer. Meth. Fluids 38 (2002) 895-917.
23. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere/ McGraw-Hill, 1980.
24. S. Chakraborty, P. Dutta, A generalized formulation for evaluation of latent heat functions in enthalpy-based macroscopic models for convection-diffusion phase change processes, Metall. Mater. Trans. 32B (2001) 562-564.
25. S. Chakraborty, P. Dutta, A scaling analysis of momentum, heat and mass transfer in binary alloy solidification problems, Mater. Sci. Technol. 18 (2002) 600-606
26. S.M. Pimputkar, S. Ostrach, Convection effects in crystal growth from melt, J. Cryst. Growth 55 (1981) 614-646.