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Research Papers: Melting and Solidification

# Study on Contact Melting Inside an Elliptical Tube With Nonisothermal Wall

[+] Author and Article Information
Yuansong Zhao, Fengrui Sun

Faculty 301, College of Power and Shipping, Naval University of Engineering, Wuhan, Hubei 430033, China

Wenzhen Chen

Faculty 301, College of Power and Shipping, Naval University of Engineering, Wuhan, Hubei 430033, Chinacwz2@21cn.com

J. Heat Transfer 131(5), 052301 (Mar 20, 2009) (5 pages) doi:10.1115/1.3001018 History: Received April 30, 2008; Revised July 14, 2008; Published March 20, 2009

## Abstract

The problem of contact melting inside an elliptical tube with nonisothermal wall is investigated. A theoretical model, which the inner wall temperature of source varied with angle $ϕ$, is established by applying film theory. The basic equations of the melting process are solved theoretically, and a closed-form solution is obtained. Under certain cases, comparisons of results for the melting velocity with those of contact melting inside a horizontal cylindrical tube with nonisothermal wall and an elliptical tube with constant temperature are reported for the validity of the solution in this paper. Effects of aspect ratio $J$ and inner wall temperature distribution are critically assessed. It is found that the smaller the elliptical aspect ratio $J$ is, the greater the effect of wall temperature distribution on melting velocity, and the time to complete melting increases with the augment of coefficient $c$ in temperature distribution.

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## Figures

Figure 1

Model and coordinates

Figure 2

Comparison of results between the present work and literature (9) for F(ϕ)=0

Figure 3

Variation in melting velocity H∗ with height of liquid H∗ for Tw=Tw0[1+F(ϕ)]

Figure 4

Influence of temperature distribution on melting

Figure 5

Variation in dimensionless time to complete melting with c for Ste=0.096

Figure 6

Thickness distribution of the molten layer with different heights of molten liquid for Tw=Tw0[1+c sin2(ϕ)]

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