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/
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.
|Title:||Evolution of Specific Surface Area with Solid Volume Fraction During Coalescence with Parabolic Shape Assumption for Dendrite|
|Journal or Publication Title:||Transactions Indian Institute Metals|
|In Open Access:||No|
|In ISI Web of Science:||Yes|
|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|
|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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