Analysis of multidimensional conduction phase change via the enthalpy model

N. Shamsundar, E. M. Sparrow

Research output: Contribution to journalArticle

375 Citations (Scopus)

Abstract

The basis of the enthalpy model for multidimensional phase change problems in media having a distinct phase change temperature is demonstrated, and subsequent numerical applications of the model are carried out. It is shown that the mathematical representation of the enthalpy model is equivalent to the conventional conservation equations in the solid and liquid regions and at the solid-liquid interface. The model is employed in conjunction with a fully implicit finite-difference scheme to solve for solidification in a convectively cooled square container. The implicit scheme was selected because of its ability to accommodate a wide range of the Stefan number Ste. After its accuracy had been established, the solution method was used to obtain results for the local and surface- integrated heat transfer rates, boundary temperatures, solidified fraction, and interface position, all as functions of time. The results are presented with SteFo (Fo = Fourier number) as a correlating parameter, thereby facilitating their use for all Ste values in the range investigated. At low values of the Biot number, the surface-integrated heat transfer rate was relatively constant during the entire solidification period, which is a desirable characteristic for phase change thermal energy storage.

Original languageEnglish (US)
Pages (from-to)333-340
Number of pages8
JournalJournal of Heat Transfer
Volume97
Issue number3
DOIs
StatePublished - Aug 1975

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Enthalpy
enthalpy
conduction
solidification
Solidification
heat transfer
Biot number
Heat transfer
heat storage
conservation equations
Liquids
liquid-solid interfaces
Thermal energy
containers
Energy storage
Containers
Conservation
Temperature
temperature
liquids

Cite this

Analysis of multidimensional conduction phase change via the enthalpy model. / Shamsundar, N.; Sparrow, E. M.

In: Journal of Heat Transfer, Vol. 97, No. 3, 08.1975, p. 333-340.

Research output: Contribution to journalArticle

Shamsundar, N. ; Sparrow, E. M. / Analysis of multidimensional conduction phase change via the enthalpy model. In: Journal of Heat Transfer. 1975 ; Vol. 97, No. 3. pp. 333-340.
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