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Research Papers

Time Estimate for the Incipient Surface Melting of Regular-Shaped Metals Receiving Uniform Heat Flux Inside a Metal Melting Furnace

[+] Author and Article Information
Marcelo D. Marucho

Department of Physics,
The University of Texas at San Antonio,
San Antonio, TX 78249
e-mail: Marcelo.Marucho@utsa.edu

Antonio Campo

Department of Mechanical Engineering,
The University of Texas at San Antonio,
San Antonio, TX 78249

N. Ben Cheikh

Département de Physique,
Faculté des Sciences de Tunis,
Campus Universitaire 2092,
El-Manar II, Tunisia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received April 25, 2015; final manuscript received September 8, 2015; published online November 17, 2015. Assoc. Editor: Hongbin Ma.

J. Thermal Sci. Eng. Appl 8(2), 021002 (Nov 17, 2015) (6 pages) Paper No: TSEA-15-1127; doi: 10.1115/1.4031702 History: Received April 25, 2015; Revised September 08, 2015

This article addresses the continuous heating of regular-shaped metals (large plate, long cylinder, and sphere) at ambient temperature placed in a metal melting furnace. Under the assumption of temperature-independent thermophysical properties of the metal, the heat conduction problem entails to unsteady one-dimensional (1D) heat conduction with a boundary condition of uniform heat flux. Based on the exact, analytic spatiotemporal temperature distributions for the regular-shaped metals, the objective of this study is to construct simple predictive formulas so that engineers can estimate the incipient melting of these metals when heated continually. The time at which melting at the metal surface is initiated, tmelt, corresponds to setting the surface temperature, Tsur, equal to the melting temperature, Tmelt. The analysis will be done under the premises of two asymptotic solutions: one a “large-time” solution and the other a “short-time” solution. A collection of six formulas of simple form for predicting the melting time, tmelt, will be developed for those regular-shaped metals (large plate, long cylinder, and sphere).

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Figures

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Fig. 1

Typical magnitudes of the temperature and surface heat flux in a full-scale metal melting furnace

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Fig. 4

Comparison of the dimensionless surface temperature varying with the dimensionless time in a sphere

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Fig. 2

Comparison of the dimensionless surface temperature varying with the dimensionless time in a plate

Grahic Jump Location
Fig. 3

Comparison of the dimensionless surface temperature varying with the dimensionless time in a cylinder

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