Application of the Conservation Element and Solution Element Method in Numerical Modeling of Three-Dimensional Heat Conduction With Melting and/or Freezing

[+] Author and Article Information
Anahita Ayasoufi, Theo G. Keith, Ramin K. Rahmani

Department of Mechanical, Industrial and Manufacturing Engineering, University of Toledo, Toledo, OH

J. Heat Transfer 126(6), 937-945 (Jan 26, 2005) (9 pages) doi:10.1115/1.1795235 History: Received August 08, 2003; Revised June 18, 2004; Online January 26, 2005
Copyright © 2004 by ASME
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Computational molecule of CE/SE method, a) CEs and b) SEs
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Geometry for 3D formulation
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Vanishing errors for Case 1
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Grid size effects for Case 2
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Demonstration of the CE/SE scheme’s second-order accuracy
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Spatial grid for the unit cube
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Location of the phase change interface for Case 3
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Temperature distribution at t=0.14 s for Case 3
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Comparison of the errors at t=0.14 s for Case 3
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The thawing cube, (Case 4), at t=0.005, 0.02, and 0.05 s
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(a) Thawing ellipsoid, (Case 5), at t=0, 0.0035, and 0.0085 s, (b) Thawing sphere, (Case 6), at t=0, 0.0025, and 0.0065 s
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Total melting time for the thawing sphere of Case 6




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