Free dendritic growth model for binary alloy based on microscopic solvability theory and nonisothermal nature caused by anisotropy and curved interface

Abstract

Abstract Considering both the effect of interfacial anisotropy and the effect of the non-planar interface, an extended free dendritic growth model for binary alloys was proposed. It can be achieved by introducing the microscopic solvability theory to replace the marginal stability theory and by adopting a more improved interface response function. The thermal diffusion equation is also re-solved strictly with the new interfacial response function as boundary condition. Both the morphological stability model and the interface response function take into account the interfacial nonisothermal nature caused by interfacial anisotropy and non-planar interface. Therefore, the present model is truly self-consistent. Model comparisons with the related models and the available experiment data for the Cu70Ni30 alloy were also made. An agreement between the model predictions with the experiment data was obtained.