Multiscale modeling of particle-solidification front dynamics, Part I: Methodology

J. W GARVIN; Y YANG; H. S UDAYKUMAR

doi:10.1016/j.ijheatmasstransfer.2006.12.031

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Multiscale modeling of particle-solidification front dynamics, Part I: Methodology

Journal article

Peer reviewed

Multiscale modeling of particle-solidification front dynamics, Part I: Methodology

J. W GARVIN, Y YANG and H. S UDAYKUMAR

International journal of heat and mass transfer, Vol.50(15-16), pp.2952-2968

2007

DOI: 10.1016/j.ijheatmasstransfer.2006.12.031

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Abstract

The interaction between an advancing solidification front and a micron-size particle is an inherently multiscale heat and mass transport problem. Transport at the micro-scale (i.e. the scale of the particle dimension) couples with intermolecular interactions and lubrication forces in a thin layer of melt between the particle and the front to determine the overall dynamics of the interaction. A multiscale model is developed to simulate such front–particle interactions. The solution to the lubrication equations in the melt layer is coupled to the solution of the Navier–Stokes equations for the overall particle–front system. Techniques are developed for coupling the dynamics at the two disparate scales at a common “matching plane”. All interfaces are represented and tracked using the level-set approach. A sharp-interface technique is employed for solution of the governing equations in the resulting moving boundary problem. Validation of the coupling strategy and results for the particle–front interaction phenomenon with the multiscale approach are presented.

Technology

Materials Science

Applied Sciences

Physics

Production techniques

Metals. Metallurgy

Powder metallurgy. Composite materials

Exact sciences and technology

Phase diagrams and microstructures developed by solidification and solid-solid phase transformations

Cross-disciplinary physics: materials science; rheology

Solidification

Details

Title: Subtitle: Multiscale modeling of particle-solidification front dynamics, Part I: Methodology
Creators: J. W GARVIN - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
Y YANG - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
H. S UDAYKUMAR - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242, United States
Resource Type: Journal article
Publication Details: International journal of heat and mass transfer, Vol.50(15-16), pp.2952-2968
DOI: 10.1016/j.ijheatmasstransfer.2006.12.031
ISSN: 0017-9310
eISSN: 1879-2189
Publisher: Elsevier; Oxford
Language: English
Date published: 2007
Academic Unit: Injury Prevention Research Center; Mechanical Engineering
Record Identifier: 9984064212902771

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