Numerical solution and comparison to experiment of solute drag models for binary alloy solidification with a planar phase interface

An extended free dendritic growth model incorporating the nonisothermal and nonisosolutal nature of the solid–liquid interface

“…In the present work, the version with solute drag is proposed (see Refs. [20,24,25] for details). For the present model, the linear liquidus and solidus lines are assumed.…”

“…(24) and (25) are the final forms. With the assumption of the isothermal and isosolutal interface, N 1 ðp t Þ; N 2 ðp t Þ; N 3 ðp t Þ and N c ðp c Þ equal unity.…”

“…(24) and (25) could give a relationship between the tip radius of curvature R and the interfacial migration velocity V. Another equation is required to determine the two quantities uniquely. In the present work, the well-known marginal stability theory is introduced to describe the tip radius R [27][28][29][30][31].…”

“…Solving the Eqs. (1), (5), (25) and (30) simultaneously, the solidification behavior of dendrite growing into undercooled alloy melts can be finally determined, such as the interfacial migration velocity V, the tip radius of curvature R, and the temperature and solute profiles, T L ð1; bÞ; C L ð1; bÞ and C S ð1; bÞ, along the interface.…”

Phase-field investigation on the non-equilibrium interface dynamics of rapid alloy solidification

“…To a certain extent, this is opposed to the interpretation of solute trapping phenomena by Aziz. It is similar to the solute drag, but the solute drag phenomena during solidification is not well analyzed or established yet [53,58,92,123,124,125,36,126,127,128,63,129]. .…”