Melting in Cylindrical Enclosures: Numerical Modeling and Heat Transfer Correlations

REFERENCES

• R. Viskanta , Phase-Change Heat Transfer , in G. A. Lane (ed.), Solar Heat Storage: Latent Heat Materials , pp. 153 – 222 , CRC Press , Boca Raton , Florida , 1983 .
   Google Scholar
• R. Viskanta , Natural Convection Melting and Solidification , in S. Kakac , W. Aung , and R. Viskanta (eds.), Natural Convection: Fundamentals and Applications , pp. 45 – 877 , Hemisphere , Washington , D.C. , 1985 .
   Google Scholar
• M. Okada , Analysis of Heat Transfer during Melting from a Vertical Wall , Int. J. of Heat and Mass Transfer , vol. 27 , pp. 2057 – 2066 , 1984 .
   Web of Science ®Google Scholar
• C. Gau and R. Viskanta , Melting and Solidification of a Pure Metal on a Vertical Wall , ASME J. of Heat Transfer , vol. 108 , pp. 174 – 181 , 1986 .
   Web of Science ®Google Scholar
• A. B. Brent , V. R. Voller , and K. J. Reid , Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal , Numer. Heat Transfer , vol. 13 , pp. 297 – 318 , 1988 .
   Web of Science ®Google Scholar
• M. Lacroix and V. R. Voller , Finite Different Solutions of Solidification Phase Change Problems: Transformed versus Fixed Grids , Numer. Heat Transfer B , vol. 17 , pp. 25 – 41 , 1990 .
   Web of Science ®Google Scholar
• R. Viswanath and Y. Jaluria , A Comparison of Different Solution Methodologies for Melting and Solidification Problems in Enclosures , Numer. Heat Transfer B , vol. 24 , pp. 77 – 105 , 1993 .
   Web of Science ®Google Scholar
• H. Zhang , V. Prasad , and M. K. Moallemi , Numerical Algorithm using Multizone Adaptive Grid Generation for Multiphase Transport Processes with Moving and Free Boundaries , Numer. Heat Transfer B , vol. 29 , pp. 399 – 421 , 1996 .
   Web of Science ®Google Scholar
• O. Bertrand , B. Binet , H. Combeau , S. Couturier , Y. Delannoy , D. Gobin , M. Lacroix , P. Le Quere , M. Medale , J. Mencinger , H. Sadat , and G. Vieira , Melting Driven by Natural Convection - A Comparison Exercise: First Results , Int. J. of Therm. Sci. , vol. 38 , pp. 5 – 26 , 1999 .
   Web of Science ®Google Scholar
• D. Gobin and P. Le Quere , Melting from an Isothermal Vertical Wall: Synthesis of a Numerical Comparison Excise , Computer Assisted Mechanics and Eng. Sci. , vol. 7 , pp. 289 – 306 , 2000 .
   Google Scholar
• N. Hannoun , V. Alexiades , and T. Z. Mai , Resolving the Controversy over Tin and Gallium Melting in a Rectangular Cavity Heated from the Side , Numer. Heat Transfer B , vol. 44 , pp. 253 – 276 , 2003 .
   Web of Science ®Google Scholar
• J. Mencinger , Numerical Simulation of Melting in Two-Dimensional Cavity using Adaptive Grid , J. of Computational Physics , vol. 198 , pp. 243 – 264 , 2004 .
   Web of Science ®Google Scholar
• N. Hannoun , V. Alexiades , and T. Z. Mai , A Reference Solution for Phase Change with Convection , Inter. J. for Numer. Methods in Fluids , vol. 48 , pp. 1283 – 1308 , 2005 .
   Web of Science ®Google Scholar
• M. Gharebaghi and I. Sezai , Enhancement of Heat Transfer in Latent Heat Storage Modules with Internal Fins , Numer. Heat Transfer A , vol. 53 , pp. 749 – 65 , 2008 .
   Web of Science ®Google Scholar
• S. Wang , A. Faghri , and T. L. Bergman , A Comprehensive Numerical Model for Melting with Natural Convection , Inter. J. of Heat and Mass Transfer , vol. 53 , pp. 1986 – 2000 , 2010 .
   Web of Science ®Google Scholar
• S. Wang , A. Faghri , and T. L. Bergman , Numerical Modeling of Alternate Melting and Solidification , Numer. Heat Transfer B , vol. 58 , pp. 393 – 418 , 2010 .
   Web of Science ®Google Scholar
• P. Jany and A. Bejan , Scaling Theory of Melting with Natural Convection in an Enclosure , Int. J. of Heat and Mass Transfer , vol. 31 , pp. 1221 – 1235 , 1988 .
   Web of Science ®Google Scholar
• A. Bejan , Analysis of Melting by Natural Convection in an Enclosure , Int. J. of Heat and Fluid Flow , vol. 10 , pp. 245 – 252 , 1989 .
   Web of Science ®Google Scholar
• D. Gobin and C. Benard , Melting of Metals Driven by Natural Convection in the Melt: Influence of Prandtl and Rayleigh Numbers , ASME J. of Heat Transfer , vol. 114 , pp. 521 – 524 , 1992 .
   Web of Science ®Google Scholar
• J. W. Ramsay and E. M. Sparrow , Melting and Natural Convection due to a Vertical Embedded Heater, ASME J. of Heat Transfer , vol. 100, pp. 368–370, 1978.
   Web of Science ®Google Scholar
• M. Bareiss and H. Beer , Influence of Natural Convection on the Melting Process in a Vertical Cylindrical Enclosure , Letters in Heat and Mass Transfer , vol. 7 , pp. 329 – 338 , 1980 .
   Web of Science ®Google Scholar
• R. G. Kemink and E. M. Sparrow , Heat Transfer Coefficients for Melting about a Vertical Cylinder with or without Subcooling and for Open or Closed Containment , Inter. J. of Heat and Mass Transfer , vol. 24 , pp. 1699 – 1710 , 1981 .
   Web of Science ®Google Scholar
• E. M. Sparrow and , J. A. Broadbent , Inward Melting in a Vertical Tube which Allows Free Expansion of the Phase Change Medium , ASME J. of Heat Transfer , vol. 104 , pp. 309 – 315 , 1982 .
   Web of Science ®Google Scholar
• B. Kalhori and S. Ramadhyani , Studies on Heat Transfer from a Vertical Cylinder, with or without Fins, Embedded in a Solid Phase Change Medium , ASME J. of Heat Transfer , vol. 107 , pp. 44 – 51 , 1985 .
   Web of Science ®Google Scholar
• P. R. S. Mendes and A. C. P. Brasil , Heat Transfer during Melting around an Isothermal Vertical Cylinder , ASME J. of Heat Transfer , vol. 109 , pp. 961 – 964 , 1987 .
   Web of Science ®Google Scholar
• B. J. Jones , D. Sun , S. Krishnan , and S. V. Garimella , Experimental and Numerical Study of Melting in a Cylinder , Inter. J. of Heat and Mass Transfer , vol. 49 , pp. 2724 – 2738 , 2006 .
   Web of Science ®Google Scholar
• E. M. Sparrow , S. V. Patankar , and S. Ramadhyani , Analysis of Melting in the Presence of Natural Convection in the Melt Region , ASME J. of Heat Transfer , vol. 99 , pp. 521 – 526 , 1977 .
   Google Scholar
• M. Costa , A. Oliva , and C. D. Perez-Segarra , Three-Dimensional Numerical Study of Melting inside an Isothermal Horizontal Cylinder , Numer. Heat Transfer A , vol. 32 , pp. 531 – 53 , 1997 .
   Web of Science ®Google Scholar
• K. A. R. Ismail and C. A. Melo , Convection-Based Model for a PCM Vertical Storage Unit , Int. J. of Energy Research , vol. 22 , pp. 1249 – 1265 , 1998 .
   Web of Science ®Google Scholar
• C. J. Ho , J. F. Lin , and S. Y. Chiu , Heat Transfer of Solid-Liquid Phase Change Material Suspensions in Circular Pipes: Effects of Wall Conduction , Numer. Heat Transfer A , vol. 45 , pp. 171 – 90 , 2004 .
   Web of Science ®Google Scholar
• Y. Cao and A. Faghri , A Numerical Analysis of Phase Change Problem including Natural Convection , ASME J. of Heat Transfer , vol. 112 , pp. 812 – 815 , 1990 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , McGraw-Hill , New York , 1980 .
   Google Scholar
• Z. Ma and Y. Zhang , Solid Velocity Correction Schemes for a Temperature Transforming Model for Convection Phase Change , Inter. J. of Numer. Methods for Heat and Fluid Flow , vol. 16 , pp. 204 – 225 , 2006 .
   Web of Science ®Google Scholar
• J. H. Ferziger and M. Peric , Computational Methods for Fluid Dynamics , Springer , New York , 1996 .
   Google Scholar
• H. L. Stone , Iterative Solution of Implicit Approximation of Multidimensional Partial Differential Equations , SIAM J. on Numer. Analysis , vol. 5 , pp. 530 – 558 , 1968 .
   Web of Science ®Google Scholar
• W. W. Jin , W. Q. Tao , Y. L. He , and Z. Y. LI , Analysis of Inconsistency of SIMPLE-Like Algorithms and an Entirely Consistent Update Technique—The CUT Algorithm , Numer. Heat Transfer B , vol. 53 , pp. 289 – 312 , 2008 .
   Web of Science ®Google Scholar
• L. F. Richardson , The Deferred Approach to the Limit, Part I, Single Lattice , Philosophical Transaction of the Royal Society of London Series A , vol. 226 , pp. 299 – 349 , 1927 .
   Google Scholar
• C. J. Freitas , Policy Statement on Control of Numerical Accuracy , ASME J. of Fluid Eng. , vol. 115 , pp. 339 – 340 , 1993 .
   Google Scholar
• J. H. Ferziger , Comments on the Policy Statement on Numerical Accuracy , ASME J. of Fluid Eng. , vol. 116 , pp. 396 – 397 , 1994 .
   Web of Science ®Google Scholar