Numerical modelling of solidification processes of semitransparent materials using the enthalpy and the finite volume methods

Heat and Mass Transfer/Waerme- und Stoffuebertragung

Volumn 44, Issue 8, 2008, Pages 937-957

  Łapka, Piotr ^a   Furmański, Piotr ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; COMPUTER SIMULATION; ENTHALPY; FINITE VOLUME METHOD; RADIATION; SOLIDIFICATION; TEMPERATURE DISTRIBUTION;

CONDUCTION-RADIATION PARAMETER; MUSHY ZONE; RADIATIVE PROPERTIES; SEMITRANSPARENT MEDIUM;

OPTICAL MATERIALS;

EID: 43149095379     PISSN: 09477411     EISSN: 14321181     Source Type: Journal    
DOI: 10.1007/s00231-007-0313-0     Document Type: Article

References (37)

1. Abrams M, Viskanta R (1974) The effect of radiative heat transfer upon the melting and solidification of semitransparent crystals. J Heat Transfer 96:184-190
2. Dorsey NE (1968) Properties of ordinary water substance. Hafner, New York
3. Knight CA (1967) The freezing of supercooled liquids. Van Nostrand, Princeton
4. Chan SH, Cho DH, Kocamustafaogullari G (1983) Melting and solidification with internal radiative transfer-a generalized phase change model. Int J Heat Mass Transfer 26:621-633
5. Chan SH, Hsu KY (1988) The mushy zone in a phase change model of a semitransparent material with internal radiative transfer. J Heat Transfer 110:260-263
6. Oruma FO, Özişik MN, Boles MA (1985) Effect of anisotropic scattering on melting and solidification of semi-infinite, semi-transparent medium. Int J Heat Mass Transfer 28:441-449
7. Webb BW, Viskanta R (1987) Crystallographic effects during radiative melting of semitransparent materials. J Thermophys Heat Transfer 1:313-320
8. Yimer B (1996) Thermal radiation effects in phase-change energy-storage system. Energy 21:1277-1286
9. Yimer B (1998) Phase-change heat transfer during cyclic heating and cooling with internal radiation and temperature-dependent properties. Energy 23:929-935
10. Yimer B (2000) Multi-dimensional solidification with internal radiation and temperature dependent properties. Energy Conversion Manage 41:343-352
11. Ibrahim M, Kerslake T, Sokolov P, Tolbert C (1996) Experimental and computational investigations of phase change thermal energy storage canisters. Int Congress Fluid Dyn Propulsion, Cairo
12. Petrov VA, Titov VE, Vorobyev AYu (1999) Numerical simulation of concentrated laser radiation heating of refractory oxides. High Temp High Press 31:267-274
13. Vorobyev AYu, Petrov VA, Titov VE, Fortov VE (2001) Formation of two-phase zone in the course of rapid solidification of refractory oxides. Doklady Phys 46:651-653
14. Vorobyev AYu, Petrov VA, Titov VE, Ulybin SA (2003) Rapid crystallization of refractory oxides and the possibility of formation of a two-phase zone. High Temp 41:825-831
15. Rubtsov NA, Savvinova NA (2001) Effect of radiation scattering on the melting and solidification of a flat layer of a translucent medium. J Appl Mech Therm Phys 42:1007-1013
16. Rubtsov NA, Savvinova NA (2003) Effect of radiation scattering on the dynamics of the transitional zone during solidification of a semitransparent material. J Appl Mech Therm Phys 44:676-680
17. Yao C, Wang G-X, Chung BTF (2000) Non-equilibrium planar interface model for solidification of semitransparent radiating materials. J Thermophys Heat Transfer 14:297-304
18. Wang G-X, Yao C, Chung BTF (2003) Thermal analysis on planar interface stability in solidification of semitransparent materials. J Thermophys Heat Transfer 17:193-198
19. Yao C, Chung BTF, Wang G-X (2002) Mushy zone equilibrium solidification of semitransparent layer subject to radiative and convective cooling. Int J Heat Mass Transfer 45:2397-2405
20. Shu Y, Li BQ, Lynn KG (2004) Numerical modeling of internal radiation and solidification in semitransparent melts in magnetic fields. Numer Heat Transfer A 45:957-976
21. Raj R, Prasad A, Parida PR, Mishra SC (2006) Analysis of solidification of a semitransparent planar layer using the lattice Boltzmann method and the discrete transfer method. Numer Heat Transfer A 49:279-299
22. Modest MF (2003) Radiative heat transfer, 2nd edn. AP, New York
23. Voller VR, Swaminathan CR (1990) Fixed grid techniques for phase change problems: a review. Int J Numer Meth Eng 30:875-898
24. Voller VR, Swaminathan CR (1991) General source-based method for solidification phase change. Numer Heat Transfer Part B 19:175-189
25. Raithby GD, Chui EH (1990) A finite-volume method for predicting a radiant heat transfer in enclosures with participating media. J Heat Transfer 112:415-423
26. Chai JC, Lee HS, Parthasarathy SV (1994) Finite volume method for radiative heat transfer. J Thermophys Heat Transfer 8:419-425
27. Chai JC, Lee HS (1995) Finite volume radiative heat transfer procedure for irregular geometries. J Thermophys Heat Transfer 9:410-415
28. Murthy JY, Mathur SR (1998) Finite-volume method for radiative heat transfer using unstructured meshes. J Thermophys Heat Transfer 12:313-321
29. Kim T-K, Lee H (1988) Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures. Int J Heat Mass Transfer 31:1711-1721
30. Salah MB, Askri F, Slimi K, Nasrallah SB (2004) Numerical resolution of the radiative transfer equation in a cylindrical enclosure with the finite-volume method. Int J Heat Mass Transfer 47:2501-2509
31. Chai JC, Patankar SV (1994) Evaluation of spatial differencing practices for the discrete-ordinates method. J Thermophys Heat Transfer 8:140-144
32. Lathrop KD (1969) Spatial differencing of the transport equation: positivity vs. accuracy. J Comput Phys 4:475-498
33. Coelho PJ (2002) Bounded skew high-order resolution schemes for the discrete ordinates method. J Comput Phys 175:412-437
34. Knoll DA, Kothe DB, Lally B (1999) A new nonlinear solution method for phase-change problems. Numer Heat Transfer B 35:439-459
35. Seredyński M, Banaszek J (2005) Comparison of single domain front tracking and multiphase methods in predicting columnar-to-equiaxed transition. Euritherm 82, Numer Heat Transfer 2:259-268
36. Furmański P, Banaszek J (2004) Finite element analysis of concurrent radiation and conduction in participating media. J Quant Spectrosc Radiat Transfer 84:563-573
37. Mishra SC, Lankadasu A, Beronov KN (2005) Application of the lattice Boltzmann method for solving energy equation of a 2-D transient conduction-radiation problem. Int J Heat Mass Transfer 48:3648-3659