Lamellar eutectic growth at minimum entropy production

Wołczyński, W.

doi:10.1002/crat.2170241108

Cited by 8 publications

(1 citation statement)

References 4 publications

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“…The regular eutectic structure formation is observed when the solidification occurs in the stationary state. The stationary state is well described by the criterion of minimum entropy production, [13], [14]. The criterion ( / 0…”

Section: Crystal Growth In the Stationary Statementioning

confidence: 99%

Eutectic Structures Competition in the Stripes Strengthening the (Zn) – Single Crystal

Wołczyński¹,

Kjelstrup²,

Bedeaux³

et al. 2014

Archives of Foundry Engineering

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Some eutectic stripes have been generated in a hexagonal (Zn) -single crystal. The stripes are situated periodically with the constant interstripes spacing. The eutectic structure in the stripes consists of strengthening inter-metallic compound, Zn 16 Ti, and (Zn) -solid solution. The rod-like irregular eutectic structure (with branches) appears at low growth rates. The regular lamellar eutectic structure is observed at middle growth rates. The regular rod-like eutectic structure exists exclusively in the stripes at some elevated growth rates. A new thermodynamic criterion is recommended. It suggests that this eutectic regular structure is the winner in a morphological competition for which the minimum entropy production is lower. A competition between the regular rod-like and the regular lamellar eutectic growth is described by means of the proposed criterion. The formation of branches within irregular eutectic structure is referred to the state of marginal stability. A continuous transitions from the marginal stability to the stationary state are confirmed by the continuous transformations of the irregular eutectic structure into the regular one.

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Section: Crystal Growth In the Stationary Statementioning

confidence: 99%

Eutectic Structures Competition in the Stripes Strengthening the (Zn) – Single Crystal

Wołczyński¹,

Kjelstrup²,

Bedeaux³

et al. 2014

Archives of Foundry Engineering

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Effect of temperature gradient on the lamellar structure formation

Wołczyński

1989

Cryst. Res. Technol.

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The detailed definition of interplay between interface curvature and concentration field is presented. It explains an effect of horizontal component of temperature gradient on the lamellar structure formation during the steady-state eutectic growth. This definition is composed of two competitive terms connected with the heat and matter transfers, respectively. The above competition is interpreted by using the thermodynamics of irreversible processes. Finally, it is shown that the lamellar spacing depends on both the growth rate and temperature gradient for a given regular eutectic solidifying under stationary conditions. The proposed analysis is the fourth part of model developing in "Crystal Research and Technology" which is mentioned in the References.

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Minimum undercooling condition as a particular case of the criterion of minimum entropy production

Wołczyński

1990

Cryst. Res. Technol.

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The attempt to compare the diffusional-thermal model based on the criterion of minimum entropy production to diffusional one based on the condition of minimum undercooling has been presented for regular eutectic growth. Finally, the general relationship describing lamellar structure formation is to be reduced to another one proposed by JACKSON and HUNT'S theory. This reduction has been in great part obtained. However, it remain some equivalent terms, which are not identical. It is probably produced by some imperfections of JACKSON and HUNT'S model, as well as any other adversities, e.g., some different assumptions in both compared models. The reduction of the criterion of minimum entropy production to the condition of minimum undercooling has also been suggested.

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Lamellar eutectic growth at minimum entropy production

Cited by 8 publications

References 4 publications

Eutectic Structures Competition in the Stripes Strengthening the (Zn) – Single Crystal

Eutectic Structures Competition in the Stripes Strengthening the (Zn) – Single Crystal

Effect of temperature gradient on the lamellar structure formation

Minimum undercooling condition as a particular case of the criterion of minimum entropy production

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