Science and Engineering of Casting Solidification

Stefanescu, Doru M.

doi:10.1007/978-3-319-15693-4

Cited by 222 publications

(222 citation statements)

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“…These 3D dendrite tips were sectioned by two planes passing through the center of the dendrite to obtain 2D fin shapes. The fin shapes were fitted by fourth-order polynomials, and the curvature at the dendrite's tip was obtained as [52]. Then, the tip radius was evaluated as R = 1/K.…”

Section: Dendrite Growthmentioning

confidence: 99%

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 Growthmentioning

confidence: 99%

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

Eshraghi

Hashemi

Jelinek

et al. 2017

Metals

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“…To describe the heat transfer during continuous casting, the fourier-Kirchhoff equation can be used [19,20], Eq. (1):…”

Section: Mathematical Formulation Of Thermal Processes and Determinatmentioning

confidence: 99%

Study of Solidification of Continuously Cast Steel Round Billets Using Numerical Modelling

Tkadlečková¹,

Válek²,

Socha³

et al. 2016

Archives of Metallurgy and Materials

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The paper is dedicated to the verification of solidification of continuously cast round steel billets using numerical modelling based on the finite element method. The aim of numerical modelling is to optimize the production of continuously cast steel billets of round format. The paper describes the pre-processing, processing and post-processing phases of numerical modelling. Also, the problems with determination of the thermodynamic properties of materials and the heat transfer between the individual parts of the casting system, including the definition of the heat losses along the casting strand in the primary and secondary cooling, were discussed. The first results of numerical simulation show the so-called thermal steady state of continuous casting. The temperature field, the metallurgical length and the thickness of the shell at the end of the mould were predicted. The further research will be concentrated on the prediction the risk of the cracks and the porosity based on the different boundary conditions.

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“…Additionally, Scheil's prediction is always higher than that by the CA-FVM model. C with the solid fraction, and the comparison with the prediction by Scheil [3] and Ueshima [44] models. Both Scheil and Ueshima models assume that the solute mixes uniformly in the liquid phase [3,44].…”

Section: Segregation Among Equiaxed Dendritesmentioning

confidence: 99%

“…Both Scheil and Ueshima models assume that the solute mixes uniformly in the liquid phase [3,44]. Ueshima model [44] considers the finite solute diffusion in the solid phase, while Scheil model does not.…”

Section: Segregation Among Equiaxed Dendritesmentioning

confidence: 99%

“…The dendrite is at the microscopic scale, whereas the liquid core in the steel strand is at the macroscopic scale-even more than 20 m in length [3,4]-leading to a considerable computational burden. Among numerical approaches for predicting the dendritic growth of alloys, cellular automaton (CA) method is the most efficient, and holds essential physical background [5].…”

Section: Introductionmentioning

confidence: 99%

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Development of a CA-FVM Model with Weakened Mesh Anisotropy and Application to Fe–C Alloy

2016

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Abstract:In order to match the growth of the decentered square and the evolution of the interface cell in a two-dimensional cellular automaton-finite volume method (CA-FVM) model with decentered square algorithm, the present work first alters the determination of the half length of the square diagonal according to the preferential growth orientation, and then modifies the interface evolution considering the contribution of neighboring solid cells. Accordingly, the sharp interface (physical basis of the model), the growth orientation, and the growth consistence are reasonably guaranteed. The CA-FVM model presents some capabilities in predicting the free growth of equiaxed dendrites. With the increase of the cooling rate, the solidification structure gradually changes from cell to dendrite, and the solute segregation becomes more severe. Meanwhile, the predicted solute segregation under the intensive cooling condition is consistent with the calculation by Ueshima model at the initial solidification stage. The predicted competition behavior of columnar dendrites is qualitatively consistent with the observation in the continuously cast steel billet. The predicted dendrite arm spacings are close to the measurements.

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Science and Engineering of Casting Solidification

Cited by 222 publications

References 0 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

Study of Solidification of Continuously Cast Steel Round Billets Using Numerical Modelling

Development of a CA-FVM Model with Weakened Mesh Anisotropy and Application to Fe–C Alloy

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