A Three-Dimensional Lattice Boltzmann-Cellular Automaton Model for Dendritic Solidification under Convection

Eshraghi, M., Jelinek, B., & Felicelli, S. D. (2013). A Three-Dimensional Lattice Boltzmann-Cellular Automaton Model for Dendritic Solidification under Convection. San Antonio, TX: TMS.

Abstract

A three-dimensional (3D) lattice Boltzmann (LB)-cellular automaton (CA) model is developed for dendritic solidification of a binary alloy under the effect of melt convection. The model employs LB method to solve for solute transport and fluid dynamics around growing dendrites. CA is adopted to capture solid/liquid interface. It is shown that convection can alter the growth kinetics by affecting solute distribution around the dendrites. The evolution of Al-Cu dendritic morphologies under forced melt convection is discussed. In addition, the effect of undercooling, inlet flow velocity, and alloy composition on the dendrite’s tip velocities is studied.