In this paper, horizontal solidification of gallium in a rectangular cavity was studied both experimentally and numerically. Two three-dimensional (3D) numerical models related to different numerical approaches were built. The first is a single-domain (SD) model based on the volume-of-fluid (VOF) method. This model also takes into account the presence of a mushy zone. The second model is a multidomain (MD) one; it includes two different meshes for the two phases and uses Stephan's boundary condition to determine the front velocity. The 3D models were tested under various thermal boundary conditions and compared with experimental results obtained in an appropriate experimental setup. The experimental setup included an ultrasonic Doppler velocimeter (UDV) for noninvasive measurements of the velocities in the liquid part of the metal, liquid–solid interface position and profile, its displacement, and longitudinal mean velocity. For determining the boundary influence, both 3D and 2D models were built. The comparison was carried out for the solidification front location and shape and the velocity and temperature fields. In general, the 3D numerical model gave more accurate results than the 2D model with respect to the experiments results. Although the MD model is more complicated to build and requires more computational efforts than the VOF model, the 3D MD model provides the most accurate results in comparison with current experiments.
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November 2016
This article was originally published in
Journal of Heat Transfer
Research-Article
Comparison of Three-Dimensional Multidomain and Single-Domain Models for the Horizontal Solidification Problem
M. H. Avnaim,
M. H. Avnaim
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Search for other works by this author on:
A. Levy,
A. Levy
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Search for other works by this author on:
B. Mikhailovich,
B. Mikhailovich
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
P.O. Box 653,
Be'er Sheva 8410501, Israel
e-mail: borismic@bgu.ac.il
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
P.O. Box 653,
Be'er Sheva 8410501, Israel
e-mail: borismic@bgu.ac.il
Search for other works by this author on:
O. Ben-David,
O. Ben-David
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Search for other works by this author on:
A. Azulay
A. Azulay
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Search for other works by this author on:
M. H. Avnaim
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
A. Levy
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
B. Mikhailovich
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
P.O. Box 653,
Be'er Sheva 8410501, Israel
e-mail: borismic@bgu.ac.il
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
P.O. Box 653,
Be'er Sheva 8410501, Israel
e-mail: borismic@bgu.ac.il
O. Ben-David
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
A. Azulay
Pearlstone Center for Aeronautical
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
Engineering Studies,
Department of Mechanical Engineering,
Ben-Gurion University of the Negev,
Be'er Sheva 8410501, Israel
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 16, 2016; final manuscript received May 12, 2016; published online June 14, 2016. Editor: Portonovo S. Ayyaswamy.
J. Heat Transfer. Nov 2016, 138(11): 112301 (11 pages)
Published Online: June 14, 2016
Article history
Received:
February 16, 2016
Revised:
May 12, 2016
Citation
Avnaim, M. H., Levy, A., Mikhailovich, B., Ben-David, O., and Azulay, A. (June 14, 2016). "Comparison of Three-Dimensional Multidomain and Single-Domain Models for the Horizontal Solidification Problem." ASME. J. Heat Transfer. November 2016; 138(11): 112301. https://doi.org/10.1115/1.4033700
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