A Numerical Model And Simulation Of Cellular/Dendritic Array With Forced Convection

In this paper, a numerical model has been developed to simulate and compute the cellular/dendritic growth, and fully self-consistent solutions are produced for interface shapes. With no convection in liquid, the study shows that cell spacing is increased with increasing growth velocity, and the primary dendrite spacing, however, is firstly increased by a maximum, and then is decreased. According the criterion bought forward in this paper, the cell-dendrite transition critical velocity, which is compared with Trivedi's result, is very reasonable. With forced convection in liquid, the cell spacing will be decreased while the dendrite spacing is increased, and with higher liquid velocity, the smaller the cell spacing and the cell-dendrite critical velocity are, but the bigger the dendrite spacing is. When the convection velocity is bigger than a certain number, the interface grows only with dendrite array.