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Published in:
2016 | OriginalPaper | Chapter
A Lattice Boltzmann Model for Dendritic Growth Under Natural Convection
Authors : Mohammad Hashemi, Mohsen Eshraghi, Sergio Felicelli
Published in: Advances in the Science and Engineering of Casting Solidification
Publisher: Springer International Publishing
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A two-dimensional (2D) lattice Boltzmann (LB) and Cellular Automaton (CA) model is developed to study the buoyancy-induced flow pattern during equiaxed and columnar dendritic solidification in a binary alloy. The complex flow pattern during solidification has a significant influence on redistribution of solute and heat. In the present work, lattice Boltzmann method (LBM) is used to solve for solute diffusion, heat transfer and fluid flow, while CA is employed to capture the solidification interface. The results show that natural convection has a significant effect on morphology of both columnar and equiaxed dendrites.