Melting of a Free Solid in a Spherical Enclosure: Effects of Subcooling

[+] Author and Article Information
Sanjay K. Roy, Subrata Sengupta

Department of Mechanical Engineering, University of Miami, Coral Gables, Fla. 33124

J. Sol. Energy Eng 111(1), 32-36 (Feb 01, 1989) (5 pages) doi:10.1115/1.3268284 History: Received January 16, 1988; Revised August 29, 1988; Online November 11, 2009


The melting process within a spherical enclosure with the solid phase uniformly subcooled initially has been studied. The preliminary analysis of the problem is similar to a previous study where the degree of subcooling was zero. However, the heat transfer equation has been modified to include the effects of a temperature gradient in the solid core. As a result, a closed-form solution cannot be obtained. At every time step, the unsteady conduction equation has been solved numerically using a toroidal coordinate system, which has been suitably transformed to immobilize the moving boundary and to transform the infinite domain into a finite one. The temperature gradient at the surface is now used to solve the film equation numerically. The melt time, Nusselt number, and melt flux distributions have been obtained over a range of the parameters (Sb , Ste /C p * , and 1 /Prα*) normally encountered in solar thermal systems.

Copyright © 1989 by ASME
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