| By using the quasi-steady state solution of the diffusion equation, we discussed the time evolution of a perturbation on the flat solid-liquid interface during solidification of dilute binary alloy or pure materials and the interaction between solute diffusion effect and interface curvature effect. As the results, we showed that the perturbation is propagated to the lateral directions with cell spacing, λ_s (=2π√(3D)_o) irrespective of its initial morphology and at this spacing, the interaction between diffusion and curvature effect reached equilibrium state. Also, appling these results to the secondary arm branching of dendrite, we showed that the branching mechanism can be expressed by the perturbation propagation process. |
|
