Mathematical model of the thermal processing of steel ingots: Part I. Heat flow model

B. G. Thomas, I. V. Samarasekera, J. K. Brimacombe

Research output: Contribution to journalArticlepeer-review


A two-dimensional mathematical model has been developed to predict stress generation in static-cast steel ingots during thermal processing with the objective of understanding the role of stress generation in the formation of defects such as panel cracks. In the first part of a two-part paper the formulation and application of a heat-flow model, necessary for the prediction of the temperature distribution which governs thermal stress generation in the ingot, are described. A transverse plane through the ingot and mold is considered and the model incorporates geometric features such as rounded corners and mold corrugations by the use of the finite-element method. The time of air gap formation between mold and solidifying ingot skin is input, based on reported measurements, as a function of position over the ingot/mold surface. The model has been verified with analytical solutions and by comparison of predictions to industrial measurements. Finally, the model has been applied to calculate temperature contours in a 760×1520 mm, corrugated, low-carbon steel ingot under processing conditions conducive to panel crack formation. The model predictions are input to an uncoupled stress model which is described in Part II.

Original languageEnglish (US)
Pages (from-to)119-130
Number of pages12
JournalMetallurgical Transactions B
Issue number1
StatePublished - Mar 1987
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'Mathematical model of the thermal processing of steel ingots: Part I. Heat flow model'. Together they form a unique fingerprint.

Cite this