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TECHNICAL PAPERS: Melting and Solidification

An Improved Quasi-Steady Analysis for Solving Freezing Problems in a Plate, a Cylinder and a Sphere

[+] Author and Article Information
Sui Lin

Department of Mechanical and Industrial Engineering, Concordia University, 1455 de Maisonneuve Blvd. W., Montreal, Quebec, Canada H3G 1M8

Zheng Jiang

Flomerics Inc., 257 Turnpike Road, Southborough, MA 01772, USA

J. Heat Transfer 125(6), 1123-1128 (Nov 19, 2003) (6 pages) doi:10.1115/1.1622719 History: Received February 04, 2003; Revised August 26, 2003; Online November 19, 2003
Copyright © 2003 by ASME
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References

Figures

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Schematic diagram of freezing process in plate and cylinder/sphere coordinates
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Dimensionless temperature distributions, T/T0 (exact solution), Tst/T0 (quasi-steady approximation) and Tm/T0 (improved quasi-steady analysis) with Ts/T0=1.5 and p=1.0
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Proportionality constants, p (exact solution), pst (quasi-steady solution) and pm (improved quasi-steady analysis) as functions of c/L(Ts−T0) for freezing process in a plate
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Relative errors, εst (quasi-steady solution) and εm (improved quasi-steady analysis) as a functions of c/L(Ts−T0) for freezing process in a plate
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Relative errors, εst (quasi-steady solution) and εm (improved quasi-steady analysis) as functions of Stefan number, ST: (a) for cylindrical case: n=1; and (b) for spherical case: n=2.

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