Multi-zone multi-phase temperature field modelling of aluminum alloy workpieces in large-scale vertical quench furnaces

Abstract Fast and accurate acquisition of the temperature information of a workpiece is essential to achieve temperature uniformity control in the quenching process. Based on the special quenching technique, a three-dimensional multi-zone multi-phase thermal model of aluminum alloy workpieces has been developed. The boundary conditions of the developed model are determined according to the multi-phase heating feature. Considering the detailed furnace geometric parameters and the multi-zone heating manner, the radiative heat flux is calculated by a simplified zone method. To satisfy the desired computational precision, a novel double-extrapolation finite element method (EFEM), which has high accuracy and time efficiency, is proposed to solve the transient temperature field of the workpiece. The efficiency of the mathematical model is validated by a comparison with experimental data obtained from a measurement campaign with a test workpiece. Compared with the finite element method (FEM), the simulation results show that the presented EFEM is accurate enough for engineering purposes. The application results demonstrate that the developed model provides a reliable workpiece temperature field and is helpful for temperature uniformity control of large-scale vertical quench furnaces.

[1]  Weihua Gui,et al.  Temperature Uniformity Control of Large-Scale Vertical Quench Furnaces for Aluminum Alloy Thermal Treatment , 2016, IEEE Transactions on Control Systems Technology.

[2]  J. Ward,et al.  Zone modelling of the thermal performances of a large-scale bloom reheating furnace , 2013 .

[3]  Man Young Kim,et al.  A heat transfer model for the analysis of transient heating of the slab in a direct-fired walking beam type reheating furnace , 2007 .

[4]  Seung Wook Baek,et al.  Transient radiative heating characteristics of slabs in a walking beam type reheating furnace , 2009 .

[5]  R. Durand,et al.  A local extrapolation method for finite elements , 2014, Adv. Eng. Softw..

[6]  Yukun Hu,et al.  Development of a first-principles hybrid model for large-scale reheating furnaces , 2016 .

[7]  Andreas Kugi,et al.  Modelling and experimental model validation for a pusher-type reheating furnace , 2009 .

[8]  Christoph Hochenauer,et al.  Numerical analysis of the transient heating of steel billets and the combustion process under air-fired and oxygen enriched conditions , 2016 .

[9]  Mohieddine Jelali,et al.  Mathematical modelling and parameter identification of a stainless steel annealing furnace , 2016, Simul. Model. Pract. Theory.

[10]  I. Singh,et al.  Meshless element free Galerkin method for unsteady nonlinear heat transfer problems , 2007 .

[11]  Daejun Chang,et al.  Radiative slab heating analysis for various fuel gas compositions in an axial-fired reheating furnace , 2012 .

[12]  R. Prieler,et al.  Prediction of the heating characteristic of billets in a walking hearth type reheating furnace using CFD , 2016 .

[13]  Daejun Chang,et al.  Efficiency analysis of radiative slab heating in a walking-beam-type reheating furnace , 2011 .

[14]  Seung Wook Baek,et al.  Numerical analysis of heating characteristics of a slab in a bench scale reheating furnace , 2007 .

[15]  Donné,et al.  HIGH TEMPERATURE HEAT TRANSFER , 1963 .

[16]  A. Kugi,et al.  A mathematical model of a slab reheating furnace with radiative heat transfer and non-participating gaseous media , 2010 .

[17]  Prabal Talukdar,et al.  Comparisons of different heat transfer models of a walking beam type reheat furnace , 2013 .

[18]  Xuan Zhou,et al.  Multivariable temperature measurement and control system of large-scaled vertical quench furnace based on temperature field , 2004 .

[19]  Naiqiang Zhang,et al.  The finite volume method for evaluating the wall temperature profiles of the superheater and reheater tubes in power plant , 2017 .

[20]  Prediction of Furnace Heat Transfer and Its Influence on the Steel Slab Heating and Skid Mark Formation in a Reheating Furnace , 2008 .

[21]  P. Dutta,et al.  Heat transfer analysis of pusher type reheat furnace , 2005 .

[22]  Liang Lie-quan Dynamically decoupling control algorithm of temperature DPS in large-scale vertical quench furnace , 2007 .

[23]  T. A. Annafi,et al.  Finite difference analysis of the transient temperature profile within GHARR-1 fuel element , 2014 .

[24]  Hehu Xie,et al.  Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method , 2009 .

[25]  M. Nouari,et al.  A new finite elements method for transient thermal analysis of thin layers , 2014 .

[26]  Ahmad Saboonchi,et al.  Heating characteristics of billet in a walking hearth type reheating furnace , 2014 .

[27]  L. G. Rosa,et al.  Numerical and experimental study on improving temperature uniformity of solar furnaces for materials processing , 2015 .

[28]  He Jian-jun,et al.  Temperature Intelligent Control System of Large-Scale Standing Quench Furnace , 2005 .