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Evolution of Specific Surface Area with Solid Volume Fraction During Coalescence with Parabolic Shape Assumption for Dendrite
Chakraborty, Prodyut R. and Ratke, Lorenz (2012) Evolution of Specific Surface Area with Solid Volume Fraction During Coalescence with Parabolic Shape Assumption for Dendrite. Transactions Indian Institute Metals, 65. Springer . DOI: 10.1007/s12666-012-0176-z.
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Official URL: http://www.springerlink.com/content/0972-2815/
Abstract
Coalescence of secondary dendrite arms in terms of the evolution of specific surface area for a dendritic envelope with respect to the fraction solid during directional solidification is studied analytically in 2-D and 3-D frame of reference. For 2D case study, the dendritic growth has been captured by gradual penetration of a parabola with fixed tip radius (r) inside a square domain, while for 3D case study, we replace the parabola and square domain for 2-D case with a paraboloid of revolution and cubic domain, respectively. The dimensions of the enclosing volumes are characterized by the secondary dendrite arm-spacing. Coalescence obtained by the analytical solution is compared with existing dendrite growth simulation results obtained by phase-field method.
| Document Type: | Article | ||||||
|---|---|---|---|---|---|---|---|
| Title: | Evolution of Specific Surface Area with Solid Volume Fraction During Coalescence with Parabolic Shape Assumption for Dendrite | ||||||
| Authors: |
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| Date: | October 2012 | ||||||
| Journal or Publication Title: | Transactions Indian Institute Metals | ||||||
| Refereed publication: | Yes | ||||||
| In Open Access: | No | ||||||
| In ISI Web of Science: | Yes | ||||||
| Volume: | 65 | ||||||
| DOI: | 10.1007/s12666-012-0176-z | ||||||
| Publisher: | Springer | ||||||
| Status: | Published | ||||||
| Keywords: | Specific surface area, Solid volume fraction , Coalescence | ||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||
| HGF - Program: | Raumfahrt | ||||||
| HGF - Program Themes: | R FR - Forschung unter Weltraumbedingungen | ||||||
| DLR - Research area: | Raumfahrt | ||||||
| DLR - Program: | R FR - Forschung unter Weltraumbedingungen | ||||||
| DLR - Research theme (Project): | R - Vorhaben Materialwissenschaftliche Forschung | ||||||
| Location: | Köln-Porz | ||||||
| Institutes and Institutions: | Institute of Materials Physics in Space | ||||||
| Deposited By: | Prof. Lorenz Ratke | ||||||
| Deposited On: | 16 Oct 2012 10:35 | ||||||
| Last Modified: | 16 Oct 2012 10:35 |
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