Numerical solutions for mixed controlled solidification of phase change materials

International Journal of Heat and Mass Transfer

Volumn 53, Issue 23-24, 2010, Pages 5335-5342

  Vitorino, N ^a   Abrantes, J C C ^a,b   Frade, J R ^a  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b INSTITUTO POLITÉCNICO DE VIANA DO CASTELO   (Portugal)

Author keywords

Heat storage; Mixed control; Moving boundaries; Numerical method; Phase change materials

Indexed keywords

ANALYTICAL SOLUTIONS; COLD FLUID; CONTAINER WALLS; MIXED CONTROLS; MOVING BOUNDARIES; NUMERICAL SOLUTION; PHASE CHANGE; SIZE SCALE; SOLIDIFIED LAYER;

BUOYANCY; HEAT CONDUCTION; HEAT STORAGE; NUMBER THEORY; NUMERICAL ANALYSIS; NUMERICAL METHODS; SOLIDIFICATION;

PHASE CHANGE MATERIALS;

EID: 77956058125     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.07.023     Document Type: Article

References (30)

1. B. Zalba, J.M. Martin, L.F. Cabeza, and H. Mehling Review on thermal energy storage with thermal storage by latent heat using phase change materials Energy Convers. Manage. 45 2004 263 275
2. A. Abhat Low temperature latent heat thermal energy storage: heat storage materials Sol. Energy 30 1983 313 332
3. G.A. Lane Solar Heat Storage: Latent Heat Material Technology vol. II 1986 CRC Press Florida
4. I. Dincer, and M.A. Rosen Thermal Energy Storage, Systems and Applications 2002 John Wiley & Sons Chichester, England
5. A.F. Regin, S.C. Solanki, and J.S. Saini Heat transfer characteristics of thermal energy storage system using PCM capsules: a review Renew. Sust. Energy 12 2008 2458 2483
6. M. Hadjieva, S. Kanev, and J. Argirov Thermophysical properties of some paraffins applicable to thermal energy storage Sol. Energy Mater. Sol. Cells 27 1992 181 187
7. J. Stefan Sber. Akad. Wiss. Wien. 79 1879 161
8. J. Stefan Sber. Akad. Wiss. Wien. 98 1890 965
9. J. Crank Free and Moving Boundary Problems 1984 Clarendon Press Oxford
10. J. Crank The Mathematics of Diffusion second ed. 1975 Clarendon Press Oxford pp. 305-306
11. V.R. Voller An implicit enthalpy solution for phase change problems: with application to a binary alloy solidification Appl. Math. Model. 11 1987 110 116
12. J.R. Frade, and M. Cable Re-examination of the basic theoretical model for the kinetics of solid state reactions J. Am. Ceram. Soc. 385 1992 1949 1958
13. N. Shamsundar, and E. Rooz Numerical methods for moving boundary problems Handbook of Numerical Heat Transfer 1988 Wiley-Interscience
14. V.R. Voller, and M. Cross Accurate solutions of moving boundary problems using the enthalpy method Int. J. Heat Mass Transfer 24 1981 545 556
15. J. Crank Diffusion with immobilizing reaction Trans. Faraday Soc. 53 1957 1147
16. J. Douglas, and T.M. Gallie On the numerical integration of a parabolic differential equation subject to a moving boundary conditions Duke Math. J. 22 1955 557
17. R.S. Gupta, and D. Kumar A modified variable time step method for the one-dimensional Stefan problem Comput. Methods Appl. Mech. Eng. 23 1980 101 109
18. J. Crank, and R. Gupta Isothermal migration in two dimensions Int. J. Heat Mass Transfer 18 1975 1101 1117
19. S. Savovic, and J. Caldwell Numerical solution of Stefan problem with time-dependent boundary conditions by variable space grid method Therm. Sci. 13 2009 165 174
20. J.U. Brackbill, and J.S. Salzman Adaptive zoning for singular problems in two dimensions J. Comput. Phys. 46 1982 342 368
21. J. Caldwell, and Y. Kwan A brief review of several numerical methods for one-dimensional Stefan problems Therm. Sci. 13 2 2009 61 72
22. J.R. Frade, and M. Cable Numerical solutions for mixed control of solid state reactions J. Am. Ceram. Soc. 78 1995 90
23. S. Lin, and Z. Jiang An improved quasi-steady analysis for solving freezing problems in a plate, a cylinder and a sphere ASME J. Heat Transfer 125 2003 1123 1238
24. J.F. Wang, and H.Q. Xie Thermal properties of paraffin based composites containing multi-walled carbon nanotubes Thermochim. Acta 488 2009 39 42
25. Z.G. Zhang, and X.M. Fang Study on paraffin/expanded graphite composite phase change thermal energy storage material Energy Convers. Manage. 47 2006 303 310
26. W.L. Wang, and X.X. Yang Enhanced thermal conductivity and thermal performance of form-stable composite phase change materials by using beta-aluminum nitride Appl. Energy 86 2009 1196 1200
27. F.P. Incropera, D.P. DeWitt, Fundamentos de Transferência de Calor e de Massa, Rio de Janeiro, LTC, 1998.
28. P.D. Silva, and L.C. Gonalves Transient behaviour of a latent-heat thermal-energy store: numerical and experimental studies Appl. Energy 73 2002 83 98
29. A. Sari, and K. Kaygusuz Thermal and heat transfer characteristics in a latent heat storage system using lauric acid Energy Convers. Manage. 43 2002 2493 2507
30. A. Najjar, and A. Hasan Modeling of greenhouse with PCM energy storage Energy Convers. Manage. 11 2008 3338 3342