Numerical modeling of dendrite growth in a steady magnetic field using the two relaxation times lattice Boltzmann-phase field model

The Phase Field model of solidification processes was carried out coupled with temperature field model. The influence of interface atomic time on dendrite growth morphology in undercooled melt was simulated with pure nickel. The experimental results show that when the interface atomic motion time parameter is minor, the liquid-solid interfaces were unstable, disturbance can be amplified easily so the complicated side branches will grow, and the disturbance speed up the dendrite growth. With the increase of , the liquid-solid interfaces become more stable and finally the smooth dendrite morphology can be obtained.

Download Full-text

Phase Field Simulation of Parameters Affecting Dendrite Growth in a Forced Flow

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.228-229.44 ◽

2011 ◽

Vol 228-229 ◽

pp. 44-49

Author(s):

Xun Feng Yuan ◽

Yu Tian Ding

Keyword(s):

Flow Velocity ◽

Phase Field ◽

Dendritic Growth ◽

Field Model ◽

Phase Field Model ◽

Pure Metal ◽

Dendrite Growth ◽

Forced Flow ◽

Low Flow ◽

Tip Radius

The phase-field model coupled with a flow field was used to simulate the dendrite growth in the undercooled pure metal melt. The effects of flow velocity, supercooling and anisotropy on the dendritic growth were studied. Results indicate that melt flow can enhance the emergence of side-branches, the morphology of the dendrite was composed of the principal branches and side-branches. With an increase in flow velocity and supercooling, the velocity of upstream dendritic tip increases, but the tip radius decreases first and then increases. With an increase in anisotropy values, the velocity of upstream dendritic tip increases and the tip radius decreases. The results of calculation agreed with LMK theory in the case of low flow velocity and anisotropy.

Download Full-text

Phase-Field Numerical Simulation of Pure Free Dendritic Growth Using Wheeler and Karma Model

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.421.90 ◽

2011 ◽

Vol 421 ◽

pp. 90-97 ◽

Cited By ~ 1

Author(s):

Yun Chen ◽

Na Min Xiao ◽

Xiu Hong Kang ◽

Dian Zhong Li

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Dendrite Growth ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Two Phase ◽

Phase Field Models ◽

Careful Comparison ◽

Undercooled Melts

To understand the dendrite formation during solidification phase-field model has become a powerful numerical method of simulating crystal growth in recent years. Two phase-field models due to Wheeler et al. and Karma et al., respectively, have been employed for modeling the dendrite growth worldwidely. The comparison of the two models was performed. Then using the adaptive finite element method, both models were solved to simulate a free dendrite growing from highly undercooled melts of nickel at various undercoolings. The simulated results showed that the discrepancy between the two phase-field models is negligible. Careful comparison of the phase-filed simulations with LKT(BCT) theory and experimental data were carried out, which demonstrated that the phase-field models are able to quantitatively simulate the dendrite growth of nickel at low undercoolings, however, at undercoolings above ten percent of the melting point (around 180K), the simulated velocities by Wheeler and Karma model as well as the analytical predictions overestimated the reported experiment results.

Download Full-text

A three-dimensional phase field model coupled with a lattice kinetics solver for modeling crystal growth in furnaces with accelerated crucible rotation and traveling magnetic field

Computers & Fluids ◽

10.1016/j.compfluid.2014.07.027 ◽

2014 ◽

Vol 103 ◽

pp. 204-214 ◽

Cited By ~ 6

Author(s):

Guang Lin ◽

Jie Bao ◽

Zhijie Xu

Keyword(s):

Magnetic Field ◽

Crystal Growth ◽

Phase Field ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Traveling Magnetic Field ◽

Crucible Rotation

Download Full-text

Numerical Simulation of Dendrite Growth of Binary Alloy Using Phase-Field Method

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.716-717.133 ◽

2014 ◽

Vol 716-717 ◽

pp. 133-136

Author(s):

Fang Hui Liu ◽

Ming Gao

Keyword(s):

Temperature Gradient ◽

Binary Alloy ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Field Method ◽

Dendrite Growth ◽

Phase Field Method ◽

Dendrite Morphology ◽

Anisotropic Strength

In order to study the growth process and morphology of dendrite directly, a phase field model of binary alloy was established. In this model the order parameter equation was coupled with the temperature field and the solute field. The growing processes and morphology of dendrite were simulated by using this phase field model. Through analyzing the results, we discussed the effects of anisotropic strength and temperature gradient on dendrite morphology. The results shows that with the increasing of anisotropic strength, the dendrite growth rate of the dendrite will increase and the secondary branches appear more clearly. Besides, the temperature gradient has influence on the appearance of secondary arms during the dendrite growing. With the increase of temperature gradient, the size of secondary dendrite arms increase.

Download Full-text