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Annual Review of Heat Transfer
Vish Prasad (open in a new tab) Department of Mechanical Engineering, University of North Texas, Denton, Texas 76207, USA
Yogesh Jaluria (open in a new tab) Department of Mechanical and Aerospace Engineering, Rutgers-New Brunswick, The State University of New Jersey, Piscataway, NJ 08854, USA
Zhuomin M. Zhang (open in a new tab) George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

ISSN Print: 1049-0787

ISSN Online: 2375-0294

SJR: 0.363 SNIP: 0.21 CiteScore™:: 1.8

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MULTIPHASE/-SCALE MODELING OF ALLOY SOLIDIFICATION

pages 115-198
DOI: 10.1615/AnnualRevHeatTransfer.v6.50
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ABSTRAKT

Recent progress in modeling of transport phenomena during dendritic alloy solidification is reviewed. Starting from the basic theorems of volume averaging, a general multiphase modeling framework is outlined. This framework allows for the incorporation of a variety of microscale phenomena in the macroscopic transport equations. For the case of diffusion dominated solidification, a simplified set of model equations is examined in detail and validated through comparisons with numerous experimental data for both columnar and equiaxed dendritic growth. This provides a critical assessment of the various model assumptions. Models that include melt flow and solid phase transport are also discussed, although their validation is still at an early stage. Several numerical results are presented that illustrate some of the profound effects of convective transport on the final compositional and structural characteristics of a solidified part. Important issues that deserve continuing attention are identified.

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