The Simplified Method to Calculate Two-Dimensional Heat Conduction Equations of Heating Slab

Abstract:

The most effective way of determining the whole billet temperature field is to use a simulation model. Large amount of calculation as well as computational time is consumed to employ two-dimensional finite difference method since the heating process is extremely complex, then it’s necessary to simplify the calculation process. In this paper, a simplified method in one-dimension format was presented to calculate two-dimensional heat conduction equations of heating slab. The billet simulated was placed in a changeable thermal flux boundary environment, in which the thermal flux was proportional to fourth power of temperature. During the heating process, the changeable parameters were taken into account: i. e different billet dimensions, different billet thermal conduction, different specific heat, etc. The comparision between results of two-dimensional finite difference method and the simplified method verified that the simplified method can satisfy accuracy requirement as well as calculation time saving, which enable the simplified method online using.

• Periodical: Applied Mechanics and Materials (Volume 79)
• Pages: 105-110
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.79.105
• Online since: July 2011
• Authors: Guo Jun Li, Xiao Ting Li, Hai Geng Chen
• Keywords: Heat Conduction Finite Difference Equations, Simplified Algorithm, Slab Temperature Field

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