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Thermal modelling and stress analysis in the continuous casting of arbitrary sections
Author(s) -
Aboutalebi M. Reza,
Hasan Mainul,
Guthrie R. I. L.
Publication year - 1994
Publication title -
steel research
Language(s) - English
Resource type - Journals
eISSN - 1869-344X
pISSN - 0177-4832
DOI - 10.1002/srin.199401062
Subject(s) - discretization , control volume , casting , heat transfer , mechanics , algebraic equation , materials science , distortion (music) , thermal conduction , boundary value problem , coordinate system , finite element method , shell (structure) , mathematics , mathematical analysis , geometry , thermodynamics , physics , metallurgy , composite material , nonlinear system , amplifier , optoelectronics , cmos , quantum mechanics
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.