3 edition of **A phase-field model of solidification with convection** found in the catalog.

A phase-field model of solidification with convection

- 303 Want to read
- 27 Currently reading

Published
**1998**
by U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology in Gaithersburg, MD
.

Written in English

- Solidification -- Mathematical models.,
- Heat -- Convection -- Mathematical models.

**Edition Notes**

Other titles | Phase field model of solidification with convection. |

Statement | D.M. Anderson, G.B. McFadden, A.A. Wheeler. |

Series | NISTIR -- 6237. |

Contributions | McFadden, Geoffrey B., Wheeler, A. A., National Institute of Standards and Technology (U.S.) |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 34 p. |

Number of Pages | 34 |

ID Numbers | |

Open Library | OL15547898M |

The numerical model developed in this study solves fluid flow and heat transfer considering solidification and melting phase change the along with natural convection in the meltpool. It was found that the flux is functioning as insulation on the welded pool, hence it restricts rapid solidification and increases the mushy zone width. () Phase-field model for solidification of a monotectic alloy with convection. Physica D: Nonlinear Phenomena , () A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth by:

Phase-field methodologies for the solidification of single phase solids for single component or pure materials were developed in the early 's. In these models an auxiliary variable or order parameter, known as the phase field, is introduced in order to differentiate in a continuous fashion between the liquid and solid phases in the system. () Efficient numerical scheme for a dendritic solidification phase field model with melt convection. Journal of Computational Physics , () A Crank–Nicolson discontinuous finite volume element method for a coupled non-stationary Stokes–Darcy by:

model of binary eutectic solidiﬁcation, for example, must describe the transfor-mation of a single-phase liquid to two solid phases having different concentra-tions. In addition to eutectic transforma-tions, the multi-phase-ﬁ eld method has been applied to monotectic and peritectic 7,15 MULTI-PHASE-FIELD DIRECTIONAL SOLIDIFICATION MODEL. Phase Field Modeling. The time-evolution equation of the energy transport can be described as in the work of Kim et al. (): In Eq. (1), D is the thermal diffusivity, ΔH is the latent heat, considered positive for solidification, ρ is the material density, assumed the same for both solid and liquid, C p is the specific heat. Equation (1) is linked to the phase-field equation by a source.

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We develop a phase-field model for the solidification of a pure material that includes convection in the liquid phase. The model permits the interface to have an anisotropic surface energy, and allows a quasi-incompressible thermodynamic description in which the densities Cited by: A phase-field model for the solidification of a pure material that incorporates convection has recently been developed.

This model is a two-fluid model in which the solid phase is modeled as a sufficiently viscous by: 1. A phase-field model of solidification with convection Author: D M Anderson ; Geoffrey B McFadden ; A A Wheeler ; National Institute of Standards and Technology (U.S.).

Phase-Field Model for Solidification of a Monotectic Alloy with Convection Article in Physica D Nonlinear Phenomena () July with Reads How we measure 'reads'. A novel diffuse interface model is presented for the direct numerical simulation of microstructure evolution in solidification processes involving convection in the liquid phase.

The solidification front is treated as a moving interface in the diffuse approximation as known from phase-field by: Abstract In a previously developed phase-field model of solidification that includes convection in the melt, the two phases are represented as viscous liquids, where the putative solid phase has a viscosity much larger than the liquid by: 4.

This paper is devoted to the study of a new phase-field model with convection under the influence of magnetic field for the isothermal solidification of binary mixtures in two-dimensional geometry. An overview of the phase-field method for modeling solidification is presented, together with several example results.

Using a phase-field variable and a corresponding governing equation to describe the state (solid or liquid) in a material as a function of position and time, the diffusion equations for heat and solute can be solved without tracking the liquid-solid interface.

The interfacial Cited by: PHASE-FIELD MODEL WITH CONVECTION FIG. Schematic illustration of the diffuse solid–liquid interface, the averaging volume, and the phase-ﬁeld variable variation normal to the interface.

equations are needed that are valid not only in the solid and liquid phases, but also in the diffuse interface region. A phase field model is a mathematical model for solving interfacial problems.

It has mainly been applied to solidification dynamics, but it has also been applied to other situations such as viscous fingering, fracture mechanics, vesicle dynamics, etc. The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an auxiliary field (the.

A phase-field model with convection D. Anderson Not In Library. Principles of solidification Bruce Chalmers Not In Library. A phase-field model of solidification with convection D. Anderson Not In Library.

A phase-field model with convection1 book Conference on Modeling of Casting and Welding Processes (3rd Santa Barbara. We develop a phase-field model for the solidification of a pure material that includes convection in the liquid phase.

The model permits the interface to have an anisotropic surface energy, and allows a quasi-incompressible thermodynamic description in which the densities in the solid and liquid phases may each be uniform.

The solid phase is modeled as an extremely viscous liquid, and the Cited by: @article{osti_, title = {Solidification of binary alloys: Thermal effects studied with the phase-field model}, author = {Conti, M}, abstractNote = {We developed a phase-field model for solidification of binary alloys, accounting for thermal effects due to the release of latent heat at the solid-liquid interface.

The model is utilized to. We consider a tridimensional phase-field model for a solidification/melting non-stationary process, which incorporates the physics of binary alloys, thermal properties and fluid motion of non-solidified material.

The model is a free-boundary value problem consisting of a highly non-linear parabolic system including a phase-field equation, a heat equation, a concentration equation and a variant Cited by: Phase‐Field Modeling of Dendritic Solidification: Verification for the Model Predictions with Latest Experimental Data (Pages: ) P.K.

Galenko Prof. Dieter M. Herlach. Phase-Field Simulation of Solidification with Moving Solids by Jorge A. Vieyra Salas Submitted to the Department of Materials Science and Engineering onin partial fulfillment of the requirements for the degree of Master of Science Abstract This thesis presents a novel methodology for simulating solidification using fluid struc.

This freedom can also be exploited to make the kinetic undercooling of the interface arbitrarily small even for mesoscopic values of both the interface thickness and the phase-field relaxation time, as for the solidification of pure melts [A.

Karma and W.-J. Rappel, Phys. Rev. E 53, R ()]. @article{osti_, title = {Natural convection in the Hale-Shaw cell of horizontal Bridgman solidification}, author = {Lu, Y and Liu, J and Zhou, Y}, abstractNote = {The numerical simulation of natural convection in the Hale-Shaw cell during horizontal Bridgman solidification reveals that the convection is present even for the very thin cell.

The condition of “no slip” at a diffuse phase-field interface was worked out in It has been shown how melt convection changes the scaling of a ripening mush54 and how dendrites grow in forced convection in three dimensions,49,55,56 It has been shown that the primary spacing of the columnar dendrites can vary by a factor of two Cited by: The phase-field model of Echebarria, Folch, Karma, and Plapp [Phys.

Rev. E 70 () ] is extended to the case of rapid solidification in which local non-equilibrium phenomena occur in the bulk phases and within the diffuse solid-liquid interface.

Such an extension leads to the fully hyperbolic system of equations given by the atomic diffusion equation and the phase-field equation of by: 1. Abstract. Phase-field models have become popular in recent years to describe a host of free-boundary problems in various areas of research.

The key point of the phase-field approach is that surfaces and interfaces are implicitly described by continuous scalar fields that take constant values in the bulk phases and vary continuously but steeply across a diffuse by: This article discusses two methods for modeling eutectic solidification using the phase-field approach.

First, a multi-phase-field model is used to study the three-dimensional morphological evolution of binary eutectics. Performing the calculations in three dimensions allows observation of both lamellar and rod-like structures as well as transient phenomena such as lamellar fault motion, rod Cited by: Phase-field models in materials science.

Ingo Steinbach. Boettinger W J and McFadden G B Phase-field model for solidification of a eutectic alloy Proc. R. Soc. Lond. Ser. McFadden G B and Wheeler A A A phase-field model of solidification with convection Physica D Crossref Google ScholarCited by: