Inverse heat conduction analysis of quenching process using finite-element and optimization method

• Published in: Finite elements in analysis and design 2006-08, Vol.42 (12), p.1087-1096
• Main Authors: Huiping, Li, Guoqun, Zhao, Shanting, Niu, Yiguo, Luan
• Format: Article
• Language: English
• Subjects: Analytical and numerical techniques; Computational techniques; Conduction; Exact sciences and technology; Finite element method; Finite-element and galerkin methods; Fundamental areas of phenomenology (including applications); Heat conduction; Heat transfer; Heat transfer coefficients; Inverse; Inverse heat conduction; Mathematical analysis; Mathematical methods in physics; Mathematical models; Optimization; Physics; Quenching
• ISSN: 0168-874X; 1872-6925
• DOI: 10.1016/j.finel.2006.04.002

The calculation of surface heat transfer coefficient during quenching process is one of the inverse heat conduction problems, and it is a nonlinear and ill-posed problem. A new method to calculate the temperature-dependent surface heat transfer coefficient during quenching process is presented, which applies finite-element method (FEM), advance–retreat method and golden section method to the inverse heat conduction problem, and can calculate the surface heat transfer coefficient according to the temperature curve gained by experiment. In order to apply the advance–retreat method to the inverse heat conduction problem during quenching process, the arithmetic is improved, so that the searching interval of optimization can be gained by the improved advance–retreat method. The optimum values of surface heat transfer coefficient can be easily obtained in the searching interval by golden section method. During the calculation process, the phase-transformation volume and phase-transformation latent heat of every element in every time interval can be calculated easily by FEM. The temperature and phase-transformation volume of every element are calculated with the coupling calculation of phase-transformation latent heat.