Phase-field simulation on dendritic to semi-circular morphology transition induced by forced liquid flow

Characterization of the Microstructure Evolution of Ni-Based Superalloy at Liquidus Temperature by Electromagnetic Field

“…When EMF is applied in the melt, there is a morphological disturbance at the solid-liquid interface. The thermal and solute field distribution of the disturbance are shown in the Equations (14)- (16).…”

“…where T L (Z), T S (Z) and C(Z) are the steady-state solutions of thermal and solute diffusion equations for the interface, δ the amplitude of the perturbation, Y lm a spherical harmonic. Substituting Equations (14)- (16) into Equations (2)-(4), respectively. g 1 (r), g 2 (r) and g 3 (r) can be solved.…”

“…g 1 (r), g 2 (r) and g 3 (r) can be solved. Substituting Equations (14)- (16) into Equations (8)- (10), respectively, the perturbation fields can be written as follows.…”

“…Therefore, the fragmentation caused by the forced convection is also an important factor for the grain refinement [13,14]. However, some researchers think that the forced convection cannot break the dendrite arm under normal solidification conditions [15,16]. Hence, the main source of nucleation site and growth mechanism of nuclei still require further investigation.…”