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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.

Full text not available from this repository.

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:
AuthorsInstitution or Email of Authors
Chakraborty, Prodyut R.UNSPECIFIED
Ratke, LorenzUNSPECIFIED
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:Space
HGF - Program Themes:Research under Space Conditions
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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