Solute Redistribution Model of Dendritic Solidification Considering Diffusion in Both the Liquid and Solid Phases.

Himemiya, Toshiaki; Umeda, T.

doi:10.2355/isijinternational.38.730

Cited by 19 publications

(12 citation statements)

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“…2) Thereafter, almost all microsegregation models incorporated the back diffusion. 21,22) It is easily understood that the change in diffusivity in the solid phase modifies the extent of microsegregation as well. Some studies showed that the SMF inhibited diffusivity in alloys.…”

Section: Resultsmentioning

confidence: 99%

Microsegregation Formation in Al–Cu Alloy under Action of Steady Magnetic Field

Guo

et al. 2018

ISIJ Int.

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Section: Resultsmentioning

confidence: 99%

Microsegregation Formation in Al–Cu Alloy under Action of Steady Magnetic Field

Guo

et al. 2018

ISIJ Int.

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“…[1][2][3][4][5][6][7][8][9][10] For example, the thermal-driven buoyancy flow (also called natural convection, thermal convection or non-isothermal flow in some papers) in tundish and ladle with large volume capacity of liquid steel has been widely studied. [11][12][13][14] It is thought that non-isothermal flow has an obvious influence on the temperature distribution and inclusion removal in tundish and ladle.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Thermal-driven Buoyancy Flow in the Steady Macro-solidification Process of a Continuous Slab Caster

Qiu

Peng

et al. 2004

ISIJ International

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The role of thermal-driven buoyancy flow in the steady macro-solidification process of a continuous slab caster and its effect on the predicted flow and temperature distribution are discussed by combining the non-dimensional analysis and the predicted results obtained from a steady three-dimensional coupled fluid flow, heat transfer and macro-solidification model. Results show that the relative strength among the thermal-driven buoyancy flow, the forced flow caused by the SEN impinging jet and the fluid flow through the porous matrix of mushy-zone continuously changes. The strength of thermal-driven buoyancy flow in the mold and sub-mold zone of slab caster is dependent on the characteristic flow velocity, temperature difference and the porosity-permeability ratio relation. The convection flow caused by thermal buoyancy at liquidus temperature of steel can result in the occurrence of local turbulence. The obvious effect zone of the thermal buoyancy flow on the predicted flow and temperature is in the region where the forced flow has become inferior and the mushy porous flow does not play a dominant role.KEY WORDS: continuous slab caster; solidification; thermal-driven buoyancy flow; numerical simulation.liquid steel and solid steel is regarded as the constant value and Boussenisque's approximation is used to consider the thermal-driven buoyancy flow. 3) The low-Reynolds number k-e turbulent model of Lam and Bremhorst is utilized to consider the turbulent flow in the mold. Boundary ConditionsAll general initial and boundary conditions for simulation on a continuous slab caster have been noted in several references. 18,22) The specified coordinate and grid system for a given caster in the present study is shown in Fig. 1. The geometrical parameters and operating conditions of this caster are summarized in Table 1. The value of the Darcy coefficient is adopted in concert with the work of Seyedein et al. 18) and the values of various turbulent constants are assigned by the reference. 23)It is very difficult to determine the mold heat flux due to the existing gas gap between the mold and the shell. A simple local heat flux formulation obtained by the measurement of the mold water volume and water temperature difference between the inflow and the outflow of cooling water is employed, as given by: At the strand surface below the mold, the values of heat transfer flux from the strand surface to the environment are governed by combination of three heat-transfer mechanisms: conduction, convection and radiation. Therefore, it is very difficult to decide the combined heat-transfer coefficient and a trial and error study procedure is adopted, which can be simply outlined as follows: 1) the known spray cooling water volume obtained from the plant's database is inputted into the known empirical or semi-empirical formulations 24) to calculate the combined heat transfer coefficient in different segments of the caster; 2) the heat transfer coefficient is used as the boundary condition to obtain the calculated surface temperatu...

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“…Several models have been proposed for the case in which the liquid is completely mixed and finite diffusion works in the solid. [3][4][5][6][7][8] In Wołczyński's method 9,10) for back-diffusion phenomenon during the crystal growth the mass balance problem at the solid-liquid interface is separately treated from the solute redistribution in the solid. Therefore, by using this method, we can easily calculate the solidification path of a multicomponent alloy such as Fe-C-X alloy.…”

Section: Introductionmentioning

confidence: 99%

Solidification Path and Solute Redistribution of an Iron-Based Multi-Component Alloy with Solute Diffusion in the Solid

Himemiya

`{n}ski

2002

Mater. Trans.

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The micro-segregation of an iron-based multi-component alloy, where the liquid is assumed to be completely mixed and finite diffusion works in the solid, is calculated by a simple method. With this method, not only the solidification path in which the solute distribution ratios change as functions of the composition, but also the solute redistribution profile after solidification can be estimated. As examples, the solidification path and solute redistribution for an iron-carbon-nickel system and an iron-carbon-chromium system have been estimated and compared with the predictions given by assumptions of the equilibrium solidification for carbon and Scheil-type solidification for the metallic solute.

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Solute Redistribution Model of Dendritic Solidification Considering Diffusion in Both the Liquid and Solid Phases.

Abstract: To estimate micro-segregation with dendritic solidification, a common method using an integral profile method has been developed. We considered three cases; (1 )

Cited by 19 publications

References 1 publication

Microsegregation Formation in Al–Cu Alloy under Action of Steady Magnetic Field

Microsegregation Formation in Al–Cu Alloy under Action of Steady Magnetic Field

Numerical Analysis of Thermal-driven Buoyancy Flow in the Steady Macro-solidification Process of a Continuous Slab Caster

Solidification Path and Solute Redistribution of an Iron-Based Multi-Component Alloy with Solute Diffusion in the Solid

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