Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A numerical method for the treatment of discontinuous thermal conductivity in phase change problems

A numerical method for the treatment of discontinuous thermal conductivity in phase change problems Presents a physical model for determining the effective thermal conductivity of a two‐phase composite medium with fixed or moving interfaces. A rigorous numerical method for removing oscillations in the thermal field is proposed. The methodology is based on the volume averaging technique with the assumption that the phases may coexist at a temperature different from that of fusion. The analysis reveals that the effective conductivity of a two‐phase medium is dependent on the phase volume fractions, on their thermal conductivities and on a constitutive constant which determines the geometric structure of the medium and the nature of the interface (fixed or moving). The results for the one and two dimensional conduction‐dominated phase change problem show that the oscillations produced by previous fixed‐grid methods are eliminated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

A numerical method for the treatment of discontinuous thermal conductivity in phase change problems

Loading next page...
 
/lp/emerald-publishing/a-numerical-method-for-the-treatment-of-discontinuous-thermal-X80myVjYVt

References (19)

Publisher
Emerald Publishing
Copyright
Copyright © 1998 MCB UP Ltd. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615539810206348
Publisher site
See Article on Publisher Site

Abstract

Presents a physical model for determining the effective thermal conductivity of a two‐phase composite medium with fixed or moving interfaces. A rigorous numerical method for removing oscillations in the thermal field is proposed. The methodology is based on the volume averaging technique with the assumption that the phases may coexist at a temperature different from that of fusion. The analysis reveals that the effective conductivity of a two‐phase medium is dependent on the phase volume fractions, on their thermal conductivities and on a constitutive constant which determines the geometric structure of the medium and the nature of the interface (fixed or moving). The results for the one and two dimensional conduction‐dominated phase change problem show that the oscillations produced by previous fixed‐grid methods are eliminated.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: May 1, 1998

Keywords: Discontinuities; Modelling; Phase change

There are no references for this article.