Kinetics of dendritic growth under the influence of convective flow in solidification of undercooled droplets

Analytical Solution for a Problem of Directional Solidification in a Ternary System

“…Their rich nonlinear behavior has attracted substantial scientific interest and their ubiquity in fields ranging from metallurgy to geophysics stimulates developing new mathematical approaches (including phase-field models) (see, among others [1][2][3][4][5][6][7][8]). Solidification of single-component and binary solutions within the framework of the classical frontal approach as well as of the mushy layer scenario has intensively been studied by many authors for the last few years.…”

Análise numérica bidimensional da morfologia dendrítica do níquel e do ferro utilizando o método de campo de fase

“…O comportamento da velocidade de solidificação da dendrita de níquel medido experimentalmente [Galenko, 2004;Bassler, 2003;Lum, 1996;Bragard, 2002;Nestler, 2005] e calculado com modelos bi (2D) e tridimensionais (3D) [Galenko, 2004;Bragard, 2002;Nestler, 2005;Ferreira, 2005;Kim, 1999] é apresentado na Figura 3. Pode-se observar que, apesar da grande dispersão de resultados, o presente trabalho apresenta uma boa conformidade com os dados experimentais, diferentemente de alguns modelos 2D, que ora subestimam [Nestler, 2005] ou superestimam a velocidade de solidificação [Ferreira, 2005].…”

Mushy Layer Formation during Solidification οf Binary Alloys from a Cooled Wall: the Role of Boundary Conditions

“…Let us especially emphasize that the aforementioned problem frequently met in metallurgy and geophysics can be formulated with different boundary conditions at the solid walls (see, among others [7][8][9]). As an example, let us consider the case of natural cooling of the solid wall x = 0.…”