Thermal modelling and stress analysis in the continuous casting of arbitrary sections

Abstract

A three-dimensional parabolic heat conduction model has been developed to analyze heat transfer and solidification in variously shaped continuous casters. A fixed grid source based enthalpy method was used to model solidification during a casting process. In order to correctly model arbitrary cross-sectional shaped castings, a body-fitted coordinate transformation (BFT) technique was employed to transform the physical space on to a rectangular computational domain. The transformed governing equations and boundary conditions were solved in the transformed plane. Two arbitrarily shaped casters, having dog-bone, and hexagonal cross-sections, were tested in this study. The governing equations were discretized using the control-volume finite difference approach, wherein an implicit solution technique was employed to solve the set of discretized algebraic equations. From the temperature field predicted by heat flow model, a quasi-non-linear stress analysis was carried out within the solidifying shell of the beam blank (dog bone) section. The effect of roller arrangement on the distortion of solidified shell was investigated. Thermisches Modell und Spannungsanalyse fiir das StranggieBen in unterschiedlichen Anlagenbautormen. Ein 3-dimensionales parabolisches Warmeleitungsmodell wurde entwickelt, um Warmeiibergang und Erstarrung in StranggieBanlagen verschiedener Bauformen analysieren zu ki:innen. Die Modellierung der Erstarrung wahrend des StranggieBens geschah mil der Enthalpie-Methode auf Basis eines festen Gitterursprungs. Um eine korrekte Modellierung willkOrlicher Querschnittsformen sicherzustellen, bediente man sich bei der Umwandlung des physikalischen Raums in einen rechteckigen Rechenbereich einer ki:irpergerechten Koordinatentransformationsmethode. Transformierte Gleichungen und Randbedingungen wurden in der transformierten Ebene geli:ist. Zwei Anlagen verschiedener Bauform (Hundeknochenprofil und hexagonaler Querschnitt) wurden im Rahmen dieser Studie getestet. Mit der vom WarmefluBmodell vorausbestimmten Temperatur wurde eine quasi-nichtlineare Spannungsanalyse innerhalb der erstarrenden Strangschale eines Tragervorprofils (Hundeknochenprofil) durchgefOhrt. Auch der EinfluB der Rollenanordnung auf den Verzug der erstarrten Strangschale war Gegenstand der Untersuchung.

The Effect of Fluid Flow on Heat Transfer and Shell Growth in Continuous Casting of Copper

“…To obtain reliable results, accurate data on the thermophysical material properties are also needed along with accurate boundary conditions. For important output data, such as strand temperatures in the solid shell and the shell thickness profile, a heat transfer model is normally enough and many heat transfer models for continuous casting have been developed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. But how does the fluid flow affect the liquid temperatures, the shell growth locally and also the liquid pool length has not been studied properly because of lack of models capable of coupling the heat transfer and solidification with turbulent fluid flow.…”

Modelling of Heat Transfer in Continuous Casting

“…This paper discusses about the heat transfer models developed for continuous casting. In recent years, many heat transfer models for continuous casting have been developed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Simulations give important output data, such as strand temperatures and the shell thickness profile.…”

Analysis of Solidification Cracking Using the Specific Crack Susceptibility.

“…The finite element calculation for stress analysis was carried out under the plane strain condition with 2-dimensional slice model. The thermal conductivity of strand and mold were assumed to be 36 W/m K and 380 W/m K. 6,30) Calculation was performed at the condition of casting speed of 1 m/min. The distance from meniscus to mold exit is 770 mm.…”