Melting in Cylindrical Enclosures: Numerical Modeling and Heat Transfer Correlations

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.

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