Mathematical modeling on transport phenomena in solidification of Fe-C alloy

Zhou, Han; Liu, B. C.

doi:10.1080/13640461.2003.11819485

Cited by 2 publications

(6 citation statements)

References 10 publications

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“…There are many solutions, both analytical and numerical, in the literature relating to the modeling of crystallization processes [1][2][3][4][5][6][7][8][9][10][11][12]. So far, however, none has fully described these nonlinear and non-stationary phenomena.…”

Section: General Statement Of the Problemmentioning

confidence: 99%

“…The solidification of pure metals during a continuous casting was investigated analytically, for instance, in works [4] (casting of bars) and [5] (casting of flat castings). In Ref.…”

Section: Solidification Of the Alloy In The Continuous Casting Processmentioning

confidence: 99%

“…One of the stages during a manufacturing process of an alloy is its solidification [1][2][3][4][5][6][7][8][9][10][11][12]. A very interesting and important publication on an alloy solidification is the work of Beckermann and Viskanta [1] from 1993, where the mathematical modeling of mass, momentum, heat and transport phenomena that accompany the alloy solidification is reviewed.…”

Section: Introductionmentioning

confidence: 99%

“…As the two-phase layer at the front plays a particularly important role in the solidification process, there are many studies in the professional literature related to the modeling of solidification process that includes the two-phase zone [6,8,[10][11][12]. However, there are only a few studies in the literature that describe the macroscopic process of alloying in a simple manner [5,7,11], which is one of the goals of this work.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Study of Solidification of Liquid Alloy in a Two-Stage Solidification Front

Lipnicki¹,

Bydałek²,

Małolepszy³

2021

IJHT

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In this paper we are investigating theoretically the process of solidification of a liquid alloy in the space. A simplified quasi steady-state analytical model for the solidification process is used. This model describes the phase change phenomenon with the two-phase solidification front, so the two-phase layer between the liquidus and the solidus is analyzed with a solidification liquid being overheated above the solidification temperature. The solution of the problem can be reduced to the solution of a system of differential equations, which has been solved numerically. From this model, an influence of various dimensionless parameters on the solidification process can be clearly seen. The obtained numerical results are presented in graphical figure. In addition, the variable coefficient of a heat transfer on the surface of the solidification front during the solidification process is also calculated.

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Section: General Statement Of the Problemmentioning

confidence: 99%

“…The solidification of pure metals during a continuous casting was investigated analytically, for instance, in works [4] (casting of bars) and [5] (casting of flat castings). In Ref.…”

Section: Solidification Of the Alloy In The Continuous Casting Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analytical Study of Solidification of Liquid Alloy in a Two-Stage Solidification Front

Lipnicki¹,

Bydałek²,

Małolepszy³

2021

IJHT

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“…Here, the choking range DX was determined from the microstructure. The values of parameters and thermophysical properties [12][13][14][15] are listed in Table 1. Figure 12 shows a comparison between the experimental and calculated results.…”

Section: Mathematical Equation For Solidification Modelmentioning

confidence: 99%

Flow analysis of semi solid processing for grey cast iron

Ramadan¹,

Nomura²

2005

International Journal of Cast Metals Research

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Fluidity tests for semi solid processed grey cast iron were conducted at different degrees of primary fraction solid using fluidity strips with 2 . 5, 5 and 14 mm wall thickness. The microstructure of the fluidity strip castings was examined. Fluidity parameters, such as slurry velocity, critical solid concentration and choking range were studied. It can be concluded that critical solid concentration increases with the increase of wall thickness. The slurry velocity drops suddenly at a certain fraction solid very near to the critical solid concentration. Choking range zone can be measured by observing microstructure. A solidification model for fluidity has been developed based on the literature and microstructure study of semi solid processed grey cast iron. A mathematical equation has been obtained from the solidification model by modifying Flemings' fluidity model in order to analyse cavity filling of semi solid grey cast iron.IJC/566 List of symbolsA mould surface area, m 2 C specific heat, J kg 21 K 21 h heat transfer coefficient at metal/mould interface, W m 22 K 21 H f heat of fusion, J kg 21 K' thermal conductivity of mould, W m 21 K 21 K c critical solid concentration, dimensionless L f fluidity measured as length of metal flow, m S circumference of mould channel, m t solidification time, s T temperature of liquid metal, K T r room temperature, K DT superheat, K V velocity of metal flow, m s 21 DX choking range, m a thermal diffusivity of mould, m 2 s 21 r density of liquid metal, kg m 23

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Mathematical modeling on transport phenomena in solidification of Fe-C alloy

Cited by 2 publications

References 10 publications

Analytical Study of Solidification of Liquid Alloy in a Two-Stage Solidification Front

Analytical Study of Solidification of Liquid Alloy in a Two-Stage Solidification Front

Flow analysis of semi solid processing for grey cast iron

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