An enthalpy method for modeling eutectic solidification

  • Authors:

  • Anirban Bhattacharya;Apoorva Kiran;Shyamprasad Karagadde;Pradip Dutta

  • Affiliations:

  • Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India;Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India;Manchester X-ray Imaging Facility, School of Materials, The University of Manchester, Oxford Road, Manchester M13 9PL, UK;Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2014

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Abstract

This paper presents a new micro-scale model for solidification of eutectic alloys. The model is based on the enthalpy method and simulates the growth of adjacent @a and @b phases from a melt of eutectic composition in a two-dimensional Eulerian framework. The evolution of the two phases is obtained from the solution of volume averaged energy and species transport equations which are formulated using the nodal enthalpy and concentration potential values. The three phases are tracked using the @b-phase fraction and the liquid fraction values in all the computational nodes. Solutal convection flow field in the domain is obtained from the solution of volume-averaged momentum and continuity equations. The governing equations are solved using a coupled explicit-implicit scheme. The model is qualitatively validated with Jackson-Hunt theory. Results show expected eutectic growth pattern and proper species transfer and diffusion field ahead of the interface. Capabilities of the model such as lamella width selection, division of lamella into thinner lamellae and the presence of solutal convection are successfully demonstrated. The present model can potentially be incorporated into the existing framework of enthalpy based micro-scale dendritic solidification models thus leading to an efficient generalized microstructure evolution model.