Storage of thermal energy due to latent heat involved during outward radial melting of a phase-change material contained in a spherical shell is solved using variational, integral and quasi-steady methods. At uniform temperature heat is applied to inner surface. These methods provide closed-form solutions in the Stefan number, an independent parameter. The results for total energy storage, the phase-change depth and their rate obtained from these approximate analyses do not vary significantly.
Spherical Phase-Change Energy Storage With Constant Temperature Heat Injection
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Kumar, A., Prasad, A., and Upadhaya, S. N. (September 1, 1987). "Spherical Phase-Change Energy Storage With Constant Temperature Heat Injection." ASME. J. Energy Resour. Technol. September 1987; 109(3): 101–104. https://doi.org/10.1115/1.3231333
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