Lattice Boltzmann modeling of dendritic growth in a forced melt convection

Sun, Dandan; Zhu, Mingfang; Pan, Shiyan; Raabe, Dierk

doi:10.1016/j.actamat.2008.12.019

Cited by 140 publications

(64 citation statements)

References 35 publications

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“…This leads to a lower concentration in the upstream area and a higher concentration downstream and, consequently, a higher growth rate upstream and a lower growth rate downstream. This matches the findings of previous studies [14,18,19,23,39,40]. The transverse arms (the primary arms in the y-and z-directions) are not significantly affected by convection, only the secondary branches grow slightly faster on the upstream side of the transverse arms.…”

Section: Dendrite Growth Under Melt Convectionsupporting

confidence: 81%

Three-Dimensional Lattice Boltzmann Modeling of Dendritic Solidification under Forced and Natural Convection

Eshraghi

Hashemi

Jelinek

et al. 2017

Metals

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Abstract:A three-dimensional (3D) lattice Boltzmann (LB) model is developed to simulate the dendritic growth during solidification of Al-Cu alloys under forced and natural convection. The LB method is used to solve for solute diffusion and fluid flow. It is assumed that the dendritic growth is driven by the difference between the local actual and local equilibrium composition of the liquid in the interface. A cellular automaton (CA) scheme is adopted to capture new interface cells. The LB models for solute transport and fluid flow are first validated against two benchmark problems. The dendrite growth model is also validated with available analytical solutions. The evolution of a 3D dendrite affected by melt convection is investigated. Also, density inversion caused by solute concentration gradient is studied. It is shown that convection can change the kinetics of growth by affecting the solute distribution around the dendrite. In addition, the growth features of two-dimensional (2D) and 3D dendrites are briefly compared. The results show that decreasing undercooling and increasing solute concentration decelerates the growth in all branches of the dendrite. While increasing fluid velocity does not significantly influence upstream and transverse arms, it decreases the growth rate in the downstream direction considerably. The size ratio of the upstream arm to the downstream arm rises by increasing inlet velocity and solute content, and decreasing undercooling. Similarly, in the case of natural convection, redistribution of solute due to buoyancy-induced flow suppresses the growth of the upward arm and accelerates the growth of the downward arm. Considering the advantages offered by the LB method, the present model can be used as a new tool for simulating 3D dendritic solidification under convection.

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Section: Dendrite Growth Under Melt Convectionsupporting

confidence: 81%

Three-Dimensional Lattice Boltzmann Modeling of Dendritic Solidification under Forced and Natural Convection

Eshraghi

Hashemi

Jelinek

et al. 2017

Metals

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“…These distribution functions undergo collision and propagation steps on the same LB lattice as the fluid and are coupled to the fluid particle distribution functions through the macroscopic velocity u. The details of the LBM to solve coupled fluid and solute transport problems are well documented in the literature [52][53][54][55][56] and are shown briefly in the Appendix. The LBM for fluid and solute transport was verified by Zhou for several coupled fluid and solute transport problems in 1D and 2D.…”

Section: B the Lattice Boltzmann Methodsmentioning

confidence: 99%

“…This effect is confirmed by other similar LB-CA models for dendritic growth in binary alloys. [52,53,55] B. Microstructure Simulation…”

Section: A Model Examplesmentioning

confidence: 99%

“…[51] The coupled LB-CA model has recently been applied to model combined fluid flow, solute transport, and solidification problems for binary and ternary alloy systems. [33,[52][53][54][55][56][57][58] Use of a CA for solidification has the advantage of computational efficiency over alternative approaches, such as the phase field method, but discretization error and grid effects are significant drawbacks. Corrections to minimize the grid effects that tend to occur in such models have been proposed [59][60][61] and utilized by many solidification models.…”

Section: The Laser Engineered Net Shaping (Lens™)mentioning

confidence: 99%

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Modeling of Ti-W Solidification Microstructures Under Additive Manufacturing Conditions

Rolchigo

Mendoza

Samimi

et al. 2017

Metall Mater Trans A

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Additive manufacturing (AM) processes have many benefits for the fabrication of alloy parts, including the potential for greater microstructural control and targeted properties than traditional metallurgy processes. To accelerate utilization of this process to produce such parts, an effective computational modeling approach to identify the relationships between material and process parameters, microstructure, and part properties is essential. Development of such a model requires accounting for the many factors in play during this process, including laser absorption, material addition and melting, fluid flow, various modes of heat transport, and solidification. In this paper, we start with a more modest goal, to create a multiscale model for a specific AM process, Laser Engineered Net Shaping (LENS™), which couples a continuumlevel description of a simplified beam melting problem (coupling heat absorption, heat transport, and fluid flow) with a Lattice Boltzmann-cellular automata (LB-CA) microscale model of combined fluid flow, solute transport, and solidification. We apply this model to a binary Ti-5.5 wt pct W alloy and compare calculated quantities, such as dendrite arm spacing, with experimental results reported in a companion paper.

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“…The performance of magnesium alloy parts is strongly influenced by the microstructure formed during solidification. Since the fluid flow has a significant impact on the structure formation of alloys during solidification [3] , and dendritic structure is probably the most commonly observed structure of magnesium alloys [4] , studying the effect of Abstract: Fluid flow has a significant impact on the microstructure evolution of alloys during solidification. Based on the previous work relating simulation of the dendritic growth of magnesium alloys with hcp (hexagonal closepacked) structure, an extension was made to the formerly established CA (cellular automaton) model with the purpose of studying the effect of fluid flow on the dendritic growth of magnesium alloys.…”

mentioning

confidence: 99%

Simulation of dendritic growth of magnesium alloys with fluid flow

Guo

Xiong

2017

China Foundry

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A s the lightest known structural metals, magnesium alloys are treated as the green engineering materials of the 21st century due to their superior properties such as low density, high specific strength, excellent castability, good machinability and recyclability [1] . Magnesium alloys have been widely used in automotive, aerospace and 3C (computer, communication and consumer electronics) industries to replace steel, cast iron and even aluminum alloy. Such components and parts include steering wheels, gear boxes, notebook shells and mobile phone frames, etc. [2] . The performance of magnesium alloy parts is strongly influenced by the microstructure formed during solidification. Since the fluid flow has a significant impact on the structure formation of alloys during solidification [3] , and dendritic structure is probably the most commonly observed structure of magnesium alloys [4] , studying the effect of Abstract: Fluid flow has a significant impact on the microstructure evolution of alloys during solidification. Based on the previous work relating simulation of the dendritic growth of magnesium alloys with hcp (hexagonal closepacked) structure, an extension was made to the formerly established CA (cellular automaton) model with the purpose of studying the effect of fluid flow on the dendritic growth of magnesium alloys. The modified projection method was used to solve the transport equations of flow field. By coupling the flow field with the solute field, simulation results of equiaxed and columnar dendritic growth of magnesium alloys with fluid flow were achieved. The simulated results were quantitatively compared with those without fluid flow. Moreover, a comparison was also made between the present work and previous works conducted by others. It can be concluded that a deep understanding of the dendritic growth of magnesium alloys with fluid flow can be obtained by applying the present numerical model.

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Lattice Boltzmann modeling of dendritic growth in a forced melt convection

Cited by 140 publications

References 35 publications

Three-Dimensional Lattice Boltzmann Modeling of Dendritic Solidification under Forced and Natural Convection

Three-Dimensional Lattice Boltzmann Modeling of Dendritic Solidification under Forced and Natural Convection

Modeling of Ti-W Solidification Microstructures Under Additive Manufacturing Conditions

Simulation of dendritic growth of magnesium alloys with fluid flow

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