DOI: 10.1002/nme.1620240119. An enthalpy method for convection/diffusion phase change

An enthalpy method for convection/diffusion phase change

10.1002/nme.1620240119

Crossref journal-article

Wiley

International Journal for Numerical Methods in Engineering (311)

Abstract

AbstractAn enthalpy formulation for convection/diffusion phase change is developed. The essential feature of this formulation is that latent heat effects are isolated in a source term. This formulation is applicable to a general convection/diffusion phase change, i.e. it is valid in the cases of evolution of latent heat either at an isothermal temperature or over a temperature range. Before implementation of the enthalpy formulation, a technique is required to ensure that velocities predicted to be in a solid region actually take the value zero. Three alternative schemes for achieving this are presented.The enthalpy formulation and velocity correction schemes are independent of the numerical technique. As an example of how the method can be implemented a control volume numerical discretization is chosen. This implementation is applied to two test problems: a solidification phase change in a cavity under conduction and the same phase change under conduction and natural convection. The natural convection problem is used to compare the performances of the various velocity correction schemes. The results of the problems are in good agreement with available analytical solutions and previous numerical solutions.

Bibliography

Voller, V. R., Cross, M., & Markatos, N. C. (1987). An enthalpy method for convection/diffusion phase change. International Journal for Numerical Methods in Engineering, 24(1), 271â284. Portico.

Authors 3

V. R. Voller (first)
M. Cross (additional)
N. C. Markatos (additional)

References 17 Referenced 560

{'key': 'e_1_2_1_2_2', 'volume-title': 'Free and Moving Boundary Problems', 'author': 'Crank J.', 'year': '1984'} / Free and Moving Boundary Problems by Crank J. (1984)
10.1007/BF02643923
10.1115/1.3450484
10.1115/1.3451040
10.1016/0017-9310(84)90243-6
10.1007/BF02900231 / Met. Trans. B. / The effects of natural convection on the shape and movement of the melt‐solid interface in the controlled solidification by Szekely J. (1970)
{'key': 'e_1_2_1_8_2', 'first-page': '520', 'article-title': 'Natural convection heat transfer rate during the solidification and melting of metals and alloy systems', 'volume': '99', 'author': 'Chiesa F. M.', 'year': '1977', 'journal-title': 'J. Heat Transfer'} / J. Heat Transfer / Natural convection heat transfer rate during the solidification and melting of metals and alloy systems by Chiesa F. M. (1977)
10.1016/0017-9310(74)90120-3
10.1115/1.3450736
10.1016/0017-9310(82)90004-7
10.1115/1.3246636
{'key': 'e_1_2_1_13_2', 'first-page': '245', 'volume-title': 'Computational Techniques in Heat Transfer', 'author': 'Voller V. R.', 'year': '1985'} / Computational Techniques in Heat Transfer by Voller V. R. (1985)
10.1016/0045-7825(81)90002-5
{'key': 'e_1_2_1_15_2', 'first-page': '257', 'volume-title': 'Computer Methods in Fluids', 'author': 'Gartling D. K.', 'year': '1980'} / Computer Methods in Fluids by Gartling D. K. (1980)
10.1201/9781482234213
10.1093/imanum/5.2.201
V. R.Voller N. C.MarkatosandM.Cross ‘Solidification in convection‐diffusion’ presented at 1st PHOENICS Users Conference Dartford 1985.

Dates

Type	When
Created	20 years ago (Aug. 8, 2005, 2:29 p.m.)
Deposited	1 year, 11 months ago (Sept. 11, 2023, 1:51 p.m.)
Indexed	13 minutes ago (Aug. 28, 2025, 7:07 p.m.)
Issued	38 years, 7 months ago (Jan. 1, 1987)
Published	38 years, 7 months ago (Jan. 1, 1987)
Published Online	20 years, 2 months ago (June 22, 2005)
Published Print	38 years, 7 months ago (Jan. 1, 1987)

Funders 0

None

BibTeX

@article{Voller_1987, title={An enthalpy method for convection/diffusion phase change}, volume={24}, ISSN={1097-0207}, url={http://dx.doi.org/10.1002/nme.1620240119}, DOI={10.1002/nme.1620240119}, number={1}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Voller, V. R. and Cross, M. and Markatos, N. C.}, year={1987}, month=jan, pages={271–284} }

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