Development of the Jackson and Hunt Theory for Rapid Eutectic Growth

• Autorzy: Wołczyński W.

Identyfikatory

DOI

10.24425/118910

• Języki publikacji: EN

Abstrakty

EN

A development of the Jackson-Hunt’s theory is delivered. Contrary to Jackson-Hunt’s theory for ideally coupled growth the current description is dealing with the coupled eutectic growth which is more realistic than an ideal course of eutectic structure formation. Thus, the undercooling of every eutectic phase is not equal to each other. A new boundary condition is introduced to solve the diffusion equation. According to this condition, the eutectic concentration is always maintained at the triple point of the solid / liquid (s/l) interface. Therefore, the solution to diffusion equation is given separately for both lamellae. The mass balance is satisfied by the current solution. Both thermodynamic equilibrium and mechanical equilibrium are assumed to be situated at the triple point of the s/l interface, only. A protrusion of the leading phase over the wetting phase is defined mathematically due to the mass balance fulfilment. The current description is associated with the asymmetrical phase diagrams. Finally, the current description is applied to interpretation of the rapid eutectic growth. Therefore, Aziz’s concept for the changes of partition ratio versus growth rate is introduced into the description. As a result, the rapid formation of the eutectic structure is described by the oscillatory mode. Interpretation of the oscillatory mode of the eutectic structure formation is illustrated in the arbitrary eutectic phase diagram. The eutectic structure, obtained through the detonation gas spraying onto the steel substrate (rapid solidification) is delivered to illustrate the present description.

Słowa kluczowe

EN

Jackson and Hunt theory; diffusion equation; coupled eutectic growth; Aziz’s theory; oscillatory mode of eutectic growth

• Wydawca: Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Committee of Materials Engineering and Metallurgy of Polish Academy of Sciences
• Czasopismo: Archives of Metallurgy and Materials
• Rocznik: 2018
• Tom: Vol. 63, iss. 1
• Strony: 65--72
• Opis fizyczny: Bibliogr. 33 poz., rys., wzory

Twórcy

autor

Wołczyński W.

• Institute of Metallurgy and Materials Science, Polish Academy of Sciences, 25 Reymonta Str., 30 059 Kraków, Poland

Bibliografia

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Uwagi

EN

1. The financial support was provided by the National Science Center (NCN), Poland under grant No. 2015/19/B/ST8/02000.

PL

2. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).