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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 61, 2012 - Issue 11
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Original Articles

Melting in Cylindrical Enclosures: Numerical Modeling and Heat Transfer Correlations

Shimin Wang Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut, USA
,
Amir Faghri Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut, USACorrespondence[email protected]
&
Theodore L. Bergman Department of Mechanical Engineering, University of Connecticut, Storrs, Connecticut, USA
Pages 837-859 | Received 05 Jan 2012, Accepted 19 Feb 2012, Published online: 07 Jun 2012
 
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Abstract

A finite volume model for analyzing melting with natural convection in vertical cylindrical enclosures is developed. The model is verified through detailed comparison with previous experimental and numerical results. Based on the modeling results of outward melting around isothermal cylinders, correlations for the transient heat transfer rate and the total thermal energy stored in the melt are proposed for a wide range of Rayleigh numbers and several representative aspect ratios. Furthermore, a theoretical relationship between the latent energy storage and the total thermal energy storage in the melt is derived and shown to agree well with the numerical results.

Acknowledgments

This work was supported by a grant from the U. S. Department of Energy (DE-FG36-08GO18146).

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