Lattice gas cellular automata method for flow in the interdendritic region |
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| Affiliation: | 1. Department of Stochastic Simulation and Safety Research for Hydrosystems (IWS/SC SimTech), University of Stuttgart, Pfaffenwaldring 5a, 70569, Stuttgart, Germany;2. Institute of Energy Economics and Rational Energy Use (IER), University of Stuttgart, Heßbrühlstraße 49A, 70565, Stuttgart, Germany;3. Department of Energy Systems Analysis, Institute of Engineering Thermodynamics, German Aerospace Center (DLR), Pfaffenwaldring 38-40, 70569, Stuttgart, Germany;4. Energy Center, Department of Electrical Engineering, University of Chile, Tupper, 2007, Santiago, Chile;5. Department of Mining Engineering, University of Chile, Beauchef 850, Santiago, Chile;6. Advanced Mining Technology Center (AMTC), University of Chile, Tupper, 2007, Santiago, Chile |
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| Abstract: | The flow of interdendritic liquid in the mushy zone of a casting during solidification is the major cause of macrosegregation. The permeability of the mushy zone is a measure of its conductance to flow and is a key parameter to consider when investigating macrosegregation. This paper concentrates on developing models of permeability for flow normal to columnar dendrites at high liquid fractions, where reliable experimental data are not available. It uses a numerical method called lattice gas cellular automata. The utility of this method lies in the ease with which computations are made in very irregular geometries. No special grids are required and the appropriate boundary conditions are easily applied at all solid-fluid boundaries. Furthermore, numerical stability is guaranteed. |
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