An enthalpy method for modeling eutectic solidification

Bhattacharya, Anirban and Kiran, Apoorva and Karagadde, Shyamprasad and Dutta, Pradip (2014) An enthalpy method for modeling eutectic solidification. In: JOURNAL OF COMPUTATIONAL PHYSICS, 262 . pp. 217-230.

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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 alpha and beta 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 beta-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. (C) 2014 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	JOURNAL OF COMPUTATIONAL PHYSICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Additional Information:	Copyright for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, USA.
Keywords:	Enthalpy method; Eutectic; Micro-scale solidification; Solutal convection
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	14 Mar 2014 10:17
Last Modified:	14 Mar 2014 10:17
URI:	http://eprints.iisc.ac.in/id/eprint/48618

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