On the Accumulation Mechanism and the Reducing Process of Large Non-metallic Inclusions in the Bottom Equiaxed Zone of Ingots

Mitsuo, Toshiharu; Horigome, Takeo; Saito, Shoji; Nomura, Etsuo; Kitamura, Yukiyoshi; Kohno, Rokuro

doi:10.2355/tetsutohagane1955.57.6_915

Cited by 4 publications

(2 citation statements)

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“…Thermally driven flow adjacent to the solidification front can give rise to estimated velocities of 0.001-0.01 m/s [8,25] while solidification shrinkage may generate a fluid velocity of 0.001 m/s [26][27][28].…”

Section: Model Validations and Discussion 31 Physical Propertiesmentioning

confidence: 99%

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Mathematical Analysis of the Solidification Behavior of Plain Steel Based on Solute- and Heat-Transfer Equations in the Liquid–Solid Zone

Fujimura

Takeshita

Suzuki

2018

Metall Mater Trans B

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An analytical approximate solution to nonlinear solute-and heat-transfer equations in the unsteady-state mushy zone of Fe-C plain steel has been obtained, assuming a linear relationship between the solid fraction and the temperature of the mushy zone. The heat transfer equations for both the solid and liquid zone along with the boundary conditions have been linked with the equations to solve the whole equations. The model predictions (e.g., the solidification constants and the effective partition ratio) agree with the generally accepted values and with a separately performed numerical analysis. The solidus temperature predicted by the model is in the intermediate range of the reported formulas. The model and Neumann's solution are consistent in the low carbon range. A conventional numerical heat analysis (i.e., an equivalent specific heat method using the solidus temperature predicted by the model) is consistent with the model predictions for Fe-C plain steels. The model presented herein simplifies the computations to solve the solute-and heat-transfer simultaneous equations while searching for a solidus temperature as a part of the solution. Thus, this model can reduce the complexity of analyses considering the heat-and solute-transfer phenomena in the mushy zone.

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Section: Model Validations and Discussion 31 Physical Propertiesmentioning

confidence: 99%

“…These equations are transformed with the similarity variables defined as Eqs. (23), (24) and (25) that are conventionally used to yield the ordinary differential equations as shown below. It should be noted that these transformations fit well with an infinite molten liquid.…”

Section: Mathematical Formulationsmentioning

confidence: 99%