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International Heat Transfer Conference 12

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Analysis of melting in an enclosure under boundary condition of the third kind

Yuwen Zhang
University of Missouri, Columbia, MO 65201, USA

DOI: 10.1615/IHTC12.3700
6 pages


Natural convection controlled melting in a rectangular enclosure with convective heating on one side was investigated analytically. The liquid phase can be divided into three regions: (1) cold boundary layer near solidliquid interface, (2) warm boundary layer near the heated vertical wall, and (3) the core region between these two boundary layers. The governing equations in the three regions are nondimensionalized into a set of ordinary differential equations and solved numerically. The effect of Biot number on the wall and core temperatures, the velocity of the solid-liquid interface, and heat transfer characteristics are investigated.

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