Numerical and experimental study of solidification in a spherical shell

Journal of Heat Transfer

Volumn 131, Issue 2, 2009, Pages 1-5

  Assis, E ^a   Ziskind, G ^a   Letan, R ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Simulation; Solidification; Sphere; Voids

Indexed keywords

DIMENSIONAL ANALYSIS; FOURIER; INITIAL STATE; IRREGULAR BOUNDARY; LIQUID PHASE; MELT FRACTION; NUMERICAL AND EXPERIMENTAL STUDY; NUMERICAL MODELS; NUMERICAL SIMULATION; SIMULATION; SOLIDIFICATION TEMPERATURE; SPHERICAL SHELL; STEFAN NUMBERS; TRANSIENT NUMERICAL SIMULATION; UNIFORM TEMPERATURE; VOID FORMATION; VOLUMETRIC SHRINKAGE;

COMPUTER SIMULATION; CRYSTALLIZATION; LIQUIDS; PARAFFIN WAXES; PARAFFINS; SHELLS (STRUCTURES); SHRINKAGE; SOLIDIFICATION; SPHERES;

MATHEMATICAL MODELS;

EID: 77954542796     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2993543     Document Type: Article

References (27)

1. Moore, F. E., and Bayazitoglu, Y., 1982, "Melting Within a Spherical Enclosure," ASME J. Heat Transfer, 104, pp. 19-23.
2. Roy, S. K., and Sengupta, S., 1987, "The Melting Process Within Spherical Enclosures," ASME J. Heat Transfer, 109, pp. 460-462.
3. Bahrami, P. A., and Wang, T. G., 1987, "Analysis of Gravity and Conduction-Driven Melting in a Sphere," ASME J. Heat Transfer, 109, pp. 806-809.
4. Tao, L. C., 1967, "Generalized Numerical Solutions of Freezing a Saturated Liquid in Cylinders and Spheres," AIChE J., 13, pp. 165-172.
5. Shih, Y. P., and Chou, T. C., 1971, "Analytical Solutions for Freezing a Saturated Liquid Inside or Outside Sphere," Chem. Eng. Sci., 26, pp. 1787-1793.
6. Pedroso, R. I., and Domoto, G. A., 1973, "Inward Spherical Solidification: Solution by the Method of Strained Coordinates," Int. J. Heat Mass Transfer, 16, pp. 1037-1043.
7. Riley, D. S., Smith, F. T., and Poots, G., 1974, "The Inward Solidification of Spheres and Circular Cylinders," Int. J. Heat Mass Transfer, 17, pp. 1507-1516.
8. Hill, J. M., and Kucera, A., 1983, "Freezing a Saturated Liquid Inside a Sphere," Int. J. Heat Mass Transfer, 26, pp. 1631-1636.
9. Yao, L. S., and Prusa, J., 1989, "Melting and Freezing," Adv. Heat Transfer, 19, pp. 1-95.
10. Regin, A. F., Solanki, S. C., and Saini, J. S., 2008, "Heat Transfer Characteristics of Thermal Energy Storage System Using PCM Capsules: A Review," Renewable Sustainable Energy Rev., 12, pp. 2438-2458.
11. Chan, C. W., and Tan, F. L., 2006, "Solidification Inside a Sphere: An Experimental Study," Int. Commun. Heat Mass Transfer, 33, pp. 335-341.
12. Ismail, K. A. R., 2002, "Heat Transfer in Phase Change in Simple and Complex Geometries," Thermal Energy Storage Systems and Applications, İ. Dinçer and M. A. Rosen, eds., Wiley, Chichester, Chap. 8, pp. 337-386.
13. El Omari, K., and Dumas, J. P., 2004, "Crystallization of Supercooled Spherical Nodules in a Flow," Int. J. Therm. Sci., 43, pp. 1171-1180.
14. Chalmers, B., 1964, Principles of Solidification, Wiley, New York.
15. Revankar, S. T., and Croy, T., 2007, "Visualization Study of the Shrinkage Void Distribution in Thermal Energy Storage Shells of Different Geometry," Exp. Therm. Fluid Sci., 31, pp. 181-189.
16. Ziskind, G., and Letan, R., 2007, "Phase Change Materials: Recent Advances in Modeling and Experimentation," Proceedings of the Heat SET 2007: Heat Transfer in Components and Systems for Sustainable Energy Technologies, Chambery, France, Apr. 18-20.
17. Sulfredge, C. D., Chow, L. C., and Tagavi, K. A., 1992, "Void Formation in Radial Solidification of Cylinders," ASME J. Sol. Energy Eng., 114, pp. 32-39.
18. Cho, K., and Choi, S. H., 2000, "Thermal Characteristics of Paraffin in a Spherical Capsule During Freezing and Melting Processes," Int. J. Heat Mass Transfer, 43, pp. 3183-3196.
19. Shamsundar, N., and Sparrow, E. M., 1976, "Effect of Density Change on Multidimensional Conduction Phase Change," ASME J. Heat Transfer, 98, pp. 550-557.
20. Sun, D., Annapragada, S. R., Garimella, S. V., and Singh, S. K., 2007, "Analysis of Gap Formation in the Casting of Energetic Materials," Numer. Heat Transfer, Part A, 51, pp. 415-444.
21. Sun, D., and Garimella, S. V., 2007, "Numerical and Experimental Investigation of Solidification Shrinkage," Numer. Heat Transfer, Part A, 52, pp. 145-162.
22. Dubovsky, V., Assis, E., Kochavi, E., Ziskind, G., and Letan, R., 2008, "Study of Solidification in Vertical Cylindrical Shells," Proceedings of the Fifth European Thermal Sciences Conference, Eindhoven, The Netherlands.
23. Glaich, A., Finkelshtein, L., Dubovsky, V., Ziskind, G., and Letan, R., 2003, "Experimental Investigation of Phase Change in a Spherical Enclosure," Proceedings of the EUROTHERM Seminar 69: Heat and Mass Transfer in Solid-Liquid Phase Change Processes, Bistra Castle, Slovenia.
24. Assis, E., Katsman, L., Ziskind, G., and Letan, R., 2007, "Numerical and Experimental Study of Melting in a Spherical Shell," Int. J. Heat Mass Transfer, 50, pp. 1790-1804.
25. Yotvat, E., and Zelikover, S., 2007-2008, "Experimental Investigation of Paraffin Solidification," Graduation Project under the supervision of G. Ziskind and R. Letan, Heat Transfer Laboratory, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel.
26. Viskanta, R., and Gau, C., 1982, "Inward Solidification of a Superheated Liquid in a Cooled Horizontal Tube," Waerme-Stoffuebertrag.-Thermo and Fluid Dynamics 17(1), pp. 39-46.
27. Yao, L. S., 1984, "Natural Convection Effects in the Continuous Casting of a Horizontal Cylinder," Int. J. Heat Mass Transfer, 27, pp. 697-704.