Abstract
The growth of columnar dendrites during rapid directional solidification of IN718 alloy in the presence of shear flows is simulated by using a coupled cellular automaton-lattice Boltzmann (CA-LB) model. The developed CA-LB model is benchmarked by the mesh independency of the steady-state dendrite growth velocity and the primary dendrite arm spacing (PDAS) under different cooling rates. The CA-LB model is then applied to simulate the columnar dendrite growth under different shear flows and cooling rates in the conditions of rapid solidification. The values of PDAS under different conditions are determined from the simulation results, and are correlated with the shear flow rate (Ush) and cooling rate (CR). A unified fitting formula is developed to represent the effects of Ush and CR on the evolution of PDAS. The PDAS is found to decrease with CR increasing, but increase with Ush increasing. Moreover, it is revealed that the influence of Ush on PDAS becomes stronger as CR increases.
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