The S curve of energy storage by melting

Journal Article (Journal Article)

This is a treatment of the phenomenon of energy storage by melting in an enclosure where the heating is provided by an invading line of higher temperature. We show that the melting process consists of two phases: "invasion" thermal diffusion along the invading line, which is followed by "consolidation" as heat diffuses perpendicularly to the invading line. We report the duration of both phases and the evolution of the melt layer around the invading line during the two-dimensional and three-dimensional invasion. The amount of melted material increases in time according to a curve shaped as an S. Diffusion sweeps the territory faster as the complexity of the tree design increases meaning the S-curve of the history of the process becomes steeper.

Full Text

Duke Authors

Cited Authors

  • Bejan, A; Ziaei, S; Lorente, S

Published Date

  • September 21, 2014

Published In

Volume / Issue

  • 116 / 11

Electronic International Standard Serial Number (EISSN)

  • 1089-7550

International Standard Serial Number (ISSN)

  • 0021-8979

Digital Object Identifier (DOI)

  • 10.1063/1.4894869

Citation Source

  • Scopus