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Research Papers: Melting and Solidification

A Study on the Importance of Natural Convection During Solidification in Rectangular Geometry

[+] Author and Article Information
Mehmet Akif Ezan1

e-mail: mehmet.ezan@deu.edu.tre-mail: aytunc.erek@deu.edu.tr Department of Mechanical Engineering, Dokuz Eylul University, Izmir, 35100, Turkey Faculty of Engineering and Applied Science, University of Ontario Institute of Technology (UOIT), 2000 Simcoe Street North, Oshawa, Ontario L1H 7K4, Canada, e-mail: ibrahim.dincer@uoit.ca

Aytunc Erek, Ibrahim Dincer

e-mail: mehmet.ezan@deu.edu.tre-mail: aytunc.erek@deu.edu.tr Department of Mechanical Engineering, Dokuz Eylul University, Izmir, 35100, Turkey Faculty of Engineering and Applied Science, University of Ontario Institute of Technology (UOIT), 2000 Simcoe Street North, Oshawa, Ontario L1H 7K4, Canada, e-mail: ibrahim.dincer@uoit.ca

1

Currently, he is a visiting PhD student at UOIT in Oshawa, Canada.

J. Heat Transfer 133(10), 102301 (Aug 19, 2011) (9 pages) doi:10.1115/1.4004253 History: Received January 24, 2011; Revised May 12, 2011; Accepted May 13, 2011; Published August 19, 2011; Online August 19, 2011

In this study, solidification process inside a water filled rectangular cavity is numerically investigated. The mathematical model is validated by comparing the current numerical predictions with the available analytical, numerical, and experimental results for three different test cases: one-dimensional conduction dominated solidification, natural convection in rectangular cavity, and natural convection dominated solidification in rectangular cavity. For all three cases, some good agreements are achieved in terms of isotherms, interface positions, and streamlines. After validation, time-wise ice formations are represented, and comparisons are made between bare and finned wall cases. In addition to these, further analyses are carried out by neglecting the buoyancy forces to introduce the differences between natural convection dominated and conduction dominated models. The results emphasize that natural convection has a critical effect in actual phase change processes.

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Figures

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Figure 10

Isotherms (left) and streamlines (right)–double fin (a) t = 60 s, (b) t = 600 s, (b) t = 600 s, and (d) t = 3600 s

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Figure 1

Comparisons between numerical predictions and analytical results of Ref. [27]–case #1 (a) temperature distributions and (b) time-wise energy and interface variations

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Figure 2

Experimental domain defined in Ref. [16]

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Figure 3

Temperature predictions in comparison with experimental results of Ref. [16]–case #2 (a) t = 15 min and (b) t = 30 min

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Figure 4

Predicted streamlines in comparison with Refs. [16,20]–case #2 (a) t = 15 min and (b) t = 30 min

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Figure 5

Predicted isotherms in comparison with Ref. [20]–case #2 (a) t = 15 min and (b) t = 30 min

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Figure 6

Comparisons of temperature variations with experimental results of Ref. [21] for two selected thermocouples–case #3

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Figure 7

Predicted streamlines and isotherms in comparison with the results of Ref. [21]–case #3 (a) t = 900 s and (b) t = 3600 s

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Figure 8

Effect of fins and natural convection on ice formation inside cavity (a) Time-wise solidification interfaces – presence of natural convection, (b) Time-wise solidification interfaces – absence of natural convection, and (c) Ratio of solidified area – with/without buoyancy forces

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Figure 9

Isotherms (left) and streamlines (right)–single fin (a) t = 60 s, (b) t = 600 s, (c) t = 1800 s, and (d) t = 3600 s

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