ANALYSIS OF MULTIDIMENSIONAL CONDUCTION PHASE CHANGE VIA THE ENTHALPY MODEL.

N. Shamsundar, E. M. Sparrow

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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. The results are presented with SteFo (Fo equals 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)
JournalAmerican Society of Mechanical Engineers (Paper)
Issue number75 -HT-XX
StatePublished - Jan 1 1975

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