Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 24, 1993 - Issue 2
148
Views
42
CrossRef citations to date
0
Altmetric
Original Articles

TREATMENT OF DISCONTINUOUS THERMAL CONDUCTIVITY IN CONTROL-VOLUME SOLUTIONS OF PHASE-CHANGE PROBLEMS

&
Pages 161-180 | Received 11 Mar 1993, Accepted 07 May 1993, Published online: 15 May 2007

REFERENCES

  • J. Crank , Free and Moving Boundary Problems , Chap. 3 , Clarendon Press , Oxford , 1984 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
  • S. L. Lee and R. Y. Tzong , An Enthalpy Formulation for Phase Change Problems with a Large Thermal Diffusivity Jump Across the Interface , Int. J. Heat Mass Transfer , vol. 34 , pp. 1491 – 1502 , 1991 .
  • E. D. Olsson and T. L. Bergman , Reduction of Numerical Ructuations in Fixed Grid Solidification Simulations , Presented at AIAA/ASME Thermophysics and Heat Transfer Conf. , Seattle , Wash. , June 1990 .
  • E. C. Lemmon , Phase-Change for Finite Element Conduction Codes , in R. W. Lewis, K. Morgan (eds.) , Numerical Methods in Thermal Problems , 149 – 158 , Pineridge Press , Swansea , 1979 .
  • G. Comini , S. Del Giudice , R. W. Lewis , and O. C. Zienkiewicz , Finite Element Solution of Nonlinear Heat Conduction Problems with Special to Phase change , Int. J. Numer. Meth. Eng. , vol. 8 , pp. 613 – 624 , 1974 .
  • R. W. Lewis and P. M. Roberts , Finite Element Simulation of Solidification Problems , Appl. Set. Res. , vol. 44 , pp. 61 – 92 , 1987 .
  • G. Simard , R. T. Bui , and V. Potocnik , Solving Moving Boundary Problems Using PHOENICS with Effective Thermal Properties , 2nd PHOENICS Users Conference , Dubrovnick , 1989 .
  • C. R. Swaminathan and V. R. Voller , On the Enthalpy Method , Int. J. Numer. Meth. Heat Fluid Flow , vol. 3 , 1993 .
  • V. R. Voller , Implicit Finite-Difference Solution of the Enthalpy Formulation of Stefan Problems , IMA J. Numer. Anal. vol. 5 , pp. 201 – 214 , 1985 .
  • V. R. Voller , Fast Implicit Finite-Difference Method for the Analysis of Phase Change Problems , Numer. Heat Transfer, Part B , vol. 17 , pp. 155 – 169 , 1990 .
  • P. H. Price and M. R. Slack , The Effect of Latent Heat on Numerical Solutions of the Heat Flow Equation , Br. J. Appl. Phys. vol. 5 , pp. 285 – 287 , 1954 .
  • G. E. Bell , On the Performance of the Enthalpy Method , Int. J. Heat Mass Transfer , vol. 25 , pp. 587 – 589 , 1982 .

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.