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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.
| Item URL in elib: | https://elib.dlr.de/77912/ | |||||||||
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| 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 | |||||||||
| Open Access: | No | |||||||||
| Gold Open Access: | No | |||||||||
| In SCOPUS: | 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: | Space | |||||||||
| HGF - Program Themes: | Research under Space Conditions | |||||||||
| DLR - Research area: | Raumfahrt | |||||||||
| DLR - Program: | R FR - Research under Space Conditions | |||||||||
| DLR - Research theme (Project): | R - Vorhaben Materialwissenschaftliche Forschung (old) | |||||||||
| Location: | Köln-Porz | |||||||||
| Institutes and Institutions: | Institute of Materials Physics in Space | |||||||||
| Deposited By: | Ratke, Prof. Lorenz | |||||||||
| Deposited On: | 16 Oct 2012 10:35 | |||||||||
| Last Modified: | 16 Oct 2012 10:35 |
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