Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 3
232
Views
69
CrossRef citations to date
0
Altmetric
Original Articles

RESOLVING THE CONTROVERSY OVER TIN AND GALLIUM MELTING IN A RECTANGULAR CAVITY HEATED FROM THE SIDE

, &
Pages 253-276 | Published online: 02 Feb 2011

References

  • Alexiades , V. and Solomon , A. D. 1993 . Mathematical Modeling of Melting and Freezing Processes , Washington, DC : Hemisphere .
  • Brent , A. D. , Voller , V. R. and Reid , K. J. 1988 . Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal . Numer. Heat Transfer , 13 : 297 – 318 .
  • Dantzig , J. A. 1989 . Modelling Liquid-Solid Phase Changes with Melt Convection . Int. J. Numer. Meth. Eng. , 28 : 1769 – 1785 .
  • Lacroix , M. and Voller , V. R. 1990 . Finite Difference Solutions of Solidification Phase Change Problems: Transformed versus Fixed Grids . Numer. Heat Transfer B , 17 : 25 – 41 .
  • Gobin , D. and Benard , C. 1990 . “ Influence of the Prandtl Number on the Melting of Metals ” . In Fundamentals of Phase Change: Freezing, Melting, and Sublimation , Edited by: Bayazitoglu , Y. Vol. 143 , 75 – 81 . ASME HTD .
  • Desai , C. P. and Vafai , K. 1993 . A United Examination of the Melting Process within a TwoDimensional Rectangular Cavity . J. Heat Transfer , 115 : 1072 – 1075 .
  • Viswanath , R. and Jaluria , Y. 1993 . A Comparison of Different Solution Methodologies for Melting and Solidification Problems in Enclosures . Numer. Heat Transfer , 24 : 77105
  • Kuo , C.-H. and Schreiber , W. C. 1994 . “ An Interface-Tracking Method for Solving Substance Phase-Change Problems Using Nonsteady Curvilinear Coordinates ” . In Numerical Simulation of Flow and Heat Transfer , Edited by: Vafai , K. and Chen , J. L. Vol. 275 , 57 – 64 . ASME HTD .
  • McDaniel , D. J. and Zabaras , N. 1994 . A Least-Squares Front-Tracking Finite-Element Method Analysis of Phase Change with Natural Convection . Int. J. Numer. Meth. Eng. , 37 : 2755 – 2777 .
  • Shyy , W. 1994 . Computational Modeling for Fluid Flow and Interfacial Transport , 430 – 432 . Amsterdam, The Netherlands : Elsevier .
  • Shyy , W. and Rao , M. M. 1994 . Enthalpy Based Formulation for Phase Change Problems with Application to g-Jitter . Microgravity Science and Technology-VII , 1 : 41 – 49 .
  • Rady , A. and Mohanty , A. K. 1996 . Natural Convection during Melting and Solidification of Pure Metals in a Cavity . Numer. Heat Transfer A , 29 : 49 – 63 .
  • Shyy , W. , Udaykumar , H. S. , Rao , M. M. and Smith , R. W. 1996 . Computational Fluid Dynamics with Moving Boundaries , 250 – 259 . Washington D. C. : Taylor & Francis .
  • Voller , V. R. 1997 . “ An Overview of Numerical Methods for Solving Phase Change Problem ” . In Advances in Numerical Heat Transfer , Edited by: Minkowycz , W. J. and Sparrow , E. Vol. 1 , 340 – 380 . Washington D. C. : Taylor & Francis .
  • Shyy , W. , Pal , S. , Udaykumar , H. S. and Choi , D. 1998 . Structured Moving Grid and Geometric Conservation Laws for Fluid Flow Computation . Numer. Heat Transfer A , 34 : 369 – 397 .
  • Khashan , S. A. 1998 . An Advanced Numerical Model for Phase Change Problems in Complicated Geometries , Pittsburgh, PA : Ph.D. dissertation, University of Pittsburgh .
  • Sampath , R. and Zabaras , N. 1999 . An Object Oriented Implementation of a Front Tracking Finite Element Method for Directional Solidification Processes . Int. J. Numer. Meth. Eng. , 44 : 1227 – 1265 .
  • Jaluria , Y. 1999 . Numerical Modeling of Thermal Materials Processing Systems , Edited by: Stock , D. Vol. 250 , 137 – 148 . Proc. AMEFED .
  • Stella , F. and Giangi , M. 2000 . Melting of a Pure Metal on a Vertical Wall: Numerical Simulation . Numer. Heat Transfer A , 138 : 193 – 208 .
  • Cerimele , M. M. , Mansutti , D. and Pistella , F. September 2000 . A Front-Fixing Method for Fluids in Liquid JSolid Phase Change with a Benchmark Test, in European Congress on Computational Methods in Applied Sciences and Engineering , 11 – 14 . Barcelona : ECCOMAS 2000 .
  • Cruchaga , M. A. and Celentano , D. J. 2000 . A Finite-Element Thermally Coupled Flow Formulation for Phase-Change Problems . Int. J. Numer. Meth. Eng. , 34 : 279 – 305 .
  • Jaluria , Y. 2001 . Fluid Flow Phenomena in Materials Processing-The 2000 Freeman Scholar Lecture . J. Fluids Eng. , 123 : 173 – 210 .
  • Lequere , P. and Gobin , D. 1998 . Call for contribution , http:JJml7.limsi.frJIndividuJplqJ .
  • Kim , S. , Anghaie , S. and Chen , G. June 2001 . A Fixed-Grid Two-Phase Numerical Model for Convection-Dominated Melting and Solidification, Proc. First MIT Conf. on Computational Fluid and Solid Mechanics , 12 – 14 . Cambridge, MA : MIT .
  • Cruchaga , M. A. and Celentano , D. J. 2001 . A Fixed-Mesh Finite Element Thermally Coupled Flow Formulation for the Numerical Analysis of Melting Processes . Int. J. Numer. Meth. Eng. , 51 : 1231 – 1258 .
  • Wintruff , I. and Gunther , C. 2001 . “ An Adaptive Moving Grid Model for Convective Melting and Solidification Problems ” . In Interactive Dynamics of Convection and Solidification , Edited by: Ehrhard , P. , Riley , D. S. and Steen , P. H. 235 – 242 . Dordrecht, The Netherlands : Kluwer .
  • Campbell , T. A. and Koster , J. N. 1994 . Visualization of Liquid-Solid Interface Morphologies . J. Crystal Growth , 140 : 414 – 425 .
  • Gau. , C. and Viskanta , R. 1986 . Melting and Solidification of a Pure Metal from a Vertical Wall . J. Heat Transfer , 108 : 171 – 174 .
  • Webb , B W. and Viskanta , R. 1986 . Analysis of Heat Transfer during Melting of a Pure Metal from an Isothermal Vertical Wall . Numer. Heat Transfer , 9 : 539 – 558 .
  • Lacroix , M. and Garon , A. 1992 . Numerical Solution Phase Change Problems: and EulerianLagrangian Approach . Numer. Heat Transfer B , 19 : 57 – 78 .
  • Wolff , F. and Viskanta , R. 1987 . Melting of a Pure Metal from a Vertical Wall . Exp. Heat Transfer , 1 : 17 – 30 .
  • Benard , C. and Gobin , D. 1989 . Numerical Simulation of Melting Processes for Metals . in Multiphase Flow, Heat and Mass Transfer, ASMEHTD , 109 : 55 – 60 .
  • Ho , C. J. and Chu , C. H. 1993 . Periodic Melting within a Square Enclosure with an Oscillatory Surface Temperature . Int. J. Heat Mass Transfer , 36 : 725 – 733 .
  • Ho , C. J. and Chu , C. H. 1993 . The Melting Process of Ice from a Vertical Wall with TimePeriodic Temperature Perturbation inside a Rectangular Enclosure . Int. J. Heat Mass Transfer , 36 : 3171 – 3186 .
  • Bertrand , O. , Binet , B. , Combeau , H. , Couturier , S. , Delannoy , Y. , Gobin , D. , Lacroix , M. , Lequere , P. , Medale , M. , Mencinger , J. , Sadat , H. and Vieira , G. 1999 . Melting Driven by Natural Convection. A Comparison Exercise. First Results . Int. J. Thermal Sd. , 38 : 5 – 26 .
  • Gobin , D. and Lequere , P. 2000 . Melting from an Isothermal Vertical Wall: Synthesis of a Numerical Comparison Exercise . Comput. Assist. Mech. Eng. Sci. , 7 : 289 – 306 .
  • Hannoun , N. 2001 . A Benchmark Solution for Phase Change with Convection, Ph.D. dissertation , Tuscaloosa, AL : The University of Alabama .
  • Leonard , B. P. and Drummond , J. E. 1995 . Why You Should Not Use 'Hybrid', 'Power-law' or Related Exponential Schemes for Convective Modelling-There Are Much Better Alternatives . Int. J. Numer. Meth. Fluids , 20 : 421 – 442 .
  • Leonard , B. P. 1997 . “ Bounded Higher-Order Upwind Multidimensional Finite-Volume Convection-Diffusion Algorithms ” . In Advances in Numerical Heat Transfer , Edited by: Minkowycz , W. J. and Sparrow , E. M. Vol. 1 , 1 – 57 . Washington D.C. : Taylor & Francis .
  • Roache , P. J. 1998 . Verification and Validation in Computational Science and Engineering, chap. 2 , Albuquerque, NM : Hermosa .
  • Chikhaoui , A. , Bontoux , P. , Maslanik , M. K. and Sani , R. L. 1987 . Steady Three Dimensional Thermal Convection in a Vertical Rectangular Enclosure: Transition to Multicellular FlowFIDAP User's Conference , Edited by: Engelman , M. S. 4.1 – 4.19 . Evanston, IL : Fluid Dynamics International .
  • Vest , C. M. and Arpaci , V. 1969 . Stability of Natural Convection in a Vertical Slot . J. Fluid Mech. , 36 : 1 – 15 .
  • Frederic , R. L. and Quiroz , F. 2001 . On the Transition from Conduction to Convection Regime in a Cubical Enclosure with a Partially Heated Wall . Int. J. Heat Mass Transfer , 44 : 1699 – 1709 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.