Tytuł artykułu

The Criterion of Minimum Entropy Production in Eutectic Growth

Tytuł czasopisma

Archives of Foundry Engineering




No 2

Autorzy publikacji

Słowa kluczowe

entropy ; Minimum entropy production ; Eutectic ; Lamellar structure ; Rod structure

Wydział PAN

Nauki Techniczne


Archives of Foundry Engineering continues the publishing activity started by Foundry Commission of the Polish Academy of Sciences (PAN) in Katowice in 1978. The initiator of it was the first Chairman Professor Dr Eng. Wacław Sakwa – Corresponding Member of PAN, Honorary Doctor of Czestochowa University of Technology and Silesian University of Technology. This periodical first name was „Solidification of Metals and Alloys” , and made possible to publish the results of works achieved in the field of the Basic Problems Research Cooperation. The subject of publications was related to the title of the periodical and concerned widely understand problems of metals and alloys crystallization in a casting mold. In 1978-2000 the 44 issues have been published. Since 2001 the Foundry Commission has had patronage of the annually published “Archives of Foundry” and since 2007 quarterly published “Archives of Foundry Engineering”. Thematic scope includes scientific issues of foundry industry:

  • Theoretical Aspects of Casting Processes,
  • Innovative Foundry Technologies and Materials,
  • Foundry Processes Computer Aiding,
  • Mechanization, Automation and Robotics in Foundry,
  • Transport Systems in Foundry,
  • Castings Quality Management,
  • Environmental Protection.


The paper presents adaptation problem of lamellar/rod growth of eutectic. The transformation of eutectic microstructure was investigated systematically. A interpretation of the eutectic growth with theory minimum entropy production was presented.


The Katowice Branch of the Polish Academy of Sciences




Artykuły / Articles


ISSN 2299-2944


Downarowicz T. (2011), Entropy in Dynamical Systems, ; Bertola V. (2008), A critical analysis of the minimum entropy production theorem and its application to heat and fluid flow, International Journal of Heat and Mass Transfer, 51. ; Kay J. J. (2002). About some common slipups in applying Prigogine's minimum entropy production principle to living systems, by James J. Kay, Prigogine's theory for thermodynamic non-equilibrium stable steady states: the Minimum Entropy Production rule. ; Popov D. (2000), Application of the theorem of minimum entropy production to growth of lamellar eutectics with an oscillating freezing rate, Journal of Crystal Growth, 209. ; Wołczyński W. (2010), Lamella/rod transformation as described by the criterion of minimum entropy production, Int. Journal of Thermodynamics, 13, 2. ; Wołczyński W. S. (2012). Pattern selection in crystal growth. Chapter 9 in the book: Modern Aspects of Bulk Crystal and Thin Film Preparation, Rijeka - Croatia, 2012, ed. In Tech, eds N. Kolesnikov & E. Borisenko.