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Scaling analysis of momentum, heat, and mass transfer in binary alloy solidification problems

Chakraborty, S and Dutta, P (2002) Scaling analysis of momentum, heat, and mass transfer in binary alloy solidification problems. In: Materials Science and Technology, 18 (6). 600-606 .

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A systematic approach is developed for scaling analysis of momentum, heat and species conservation equations pertaining to the case of solidification of a binary mixture. The problem formulation and description of boundary conditions are kept fairly general, so that a large class of problems can be addressed. Analysis of the momentum equations coupled with phase change considerations leads to the establishment of an advection velocity scale. Analysis of the energy equation leads to an estimation of the solid layer thickness. Different regimes corresponding to different dominant modes of transport are simultaneously identified. A comparative study involving several cases of possible thermal boundary conditions is also performed. Finally, a scaling analysis of the species conservation equation is carried out, revealing the effect of a non-equilibrium solidification model on solute segregation and species distribution. It is shown that non-equilibrium effects result in an enhanced macrosegregation compared with the case of an equilibrium model. For the sake of assessment of the scaling analysis, the predictions are validated against corresponding computational results.

Item Type: Journal Article
Publication: Materials Science and Technology
Publisher: Institute of Materials, Minerals and Mining
Additional Information: Copyright of this article belongs to Institute of Materials, Minerals and Mining.
Keywords: Theoretical study;Binary alloys;Velocity;Macrosegregation; Scaling laws;Boundary conditions;Conservation equation; Mathematical models;Mass transfer;Heat transfer;Momentum; Solidification
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 28 Jul 2011 07:36
Last Modified: 28 Jul 2011 07:36
URI: http://eprints.iisc.ac.in/id/eprint/39389

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