Modelling of phenomena in solid state for the steel casting cooled by liquid

• Autorzy: Kulawik A.
• Języki publikacji: EN

Abstrakty

EN

In this paper a mathematical model of cooling process for steel castings is presented. Effect of convective motion of the coolant on material structure after cooling process is investigated. Mathematical and numerical model based on Generalized Difference Method for axysimmertric elements is used. To solve the Navier-Stokes equation the characteristic based split scheme (CBS) has been applied. The solution of the heat transport equation with the convective term has been obtained by a stabilized meshless method. To determine of the phase transformation the macroscopic model built on the basis of Time Temperature Transformation diagrams for continuous cooling of medium-carbon steel has been used. The temporary temperature fields, the phase transformation, thermal and structural strains for the cooled element and the fields of temperature and velocity for the coolant have been determined.

Słowa kluczowe

EN

heat treatment; phase transformation; convection; cooling process; liquid coolant

PL

obróbka cieplna; przemiana fazowa; konwekcja; stygnięcie odlewu; płyn niskokrzepnący

• Wydawca: Komisja Odlewnictwa Polskiej Akademii Nauk Oddział w Katowicach
• Czasopismo: Archives of Foundry Engineering
• Rocznik: 2011
• Tom: Vol. 11, iss. 2 spec.
• Strony: 135--138
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Kulawik A.

• Department of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Dabrowski st. 73, 42-200 Czestochowa, Poland

Bibliografia

• [1] A. Kulawik, Analiza numeryczna zjawisk cieplnych i mechanicznych w procesach hartowania stali 45, PhD Thesis, 2005 (in Polish).
• [2] A. Kulawik, T. Skrzypczak, E. Węgrzyn- Skrzypczak, Influence of coolant motion on structure of hardened steel element, Archives of Foundry Engineering, 2008, 39-44.
• [3] E. Węgrzyn-Skrzypczak, Modelling of solidification with motion of the fluid in liquid and mushy zone, PhD Thesis, Częstochowa 2005 (in Polish).
• [4] A. Kulawik, Modelling of forced convection using a stalibized meshless method, Scientific Research of the Institute of Mathematics and Computer Science, (2010), 123-130.
• [5] O. Axelsson, Iterative Solution Methods, Cambridge University Press, (2000).
• [6] O. C. Zienkiewicz, R. Codina, A general algorithm for compressible and incompressible flow, Part I. The split characteristic based scheme, International Journal for Numerical Metods in Fluids 20, 869-885, (1995).
• [7] M. J. Avrami, Chem. Phys. 7, (1939), 1103.
• [8] A. Bokota, A. Kulawik, Model and numerical analysis of hardening process phenomena for medium-carbon steel, Archives of Metallurgy and Materials, 52 (2007) 337-346.
• [9] D. P. Koistinen, R. E. Marburger, A general equation prrescribing the extent of the autenite-martensite transformation in pure iron-carbon alloys and plain carbon steels, Acta Mettalica, vol 7 (1959) 59-60.
• [10] F. Wever, A. Rose, Alas zur Wärmebehandlung von Stähle, Verlag Stahl Eisen MBH, Düsseldorf, (1954).
• [11] F. Wever, A. Rose, Atlas zur Wärmebehandlung von Stähle, I Zeit Temperatur Umwandlungs Schaubilder, Verlag Stahl Eisen MBH, Düsseldorf, (1961).