On-line identification of temperature-dependent thermal conductivity

In this communication, the investigated study deals with on-line parametric identification in a one-dimensional thermal system. The main objective is the determination of the temperature-dependent thermal conductivity considering noisy temperature measurements. In such a way, the identification problem is written as a minimization one. Since inverse heat conduction problems are ill-posed, a regularization method has to be numerically implemented. Thus, the conjugate gradient method (a well-known iterative regularization method) has been adapted for on-line purposes.

[1]  N. Ramdani,et al.  Inverse Problems in Engineering : Theory and Practice , Cambridge , UK , 11-15 th July 2005 MOBILE SOURCE ESTIMATION WITH AN ITERATIVE REGULARIZATION METHOD , 2005 .

[2]  L Perez,et al.  Implementation of a conjugate gradient algorithm for thermal diffusivity identification in a moving boundaries system , 2008 .

[3]  L. Autrique,et al.  Simultaneous determination of time-varying strength and location of a heating source in a three-dimensional domain , 2014 .

[4]  S. B. Childs,et al.  INVERSE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS. , 1968 .

[5]  Clifford H. Thurber,et al.  Parameter estimation and inverse problems , 2005 .

[6]  A. Rahimi,et al.  Estimation of the Time-Dependent Heat Flux Using the Temperature Distribution at a Point , 2011, Arabian Journal for Science and Engineering.

[7]  O. Alifanov,et al.  Extreme Methods for Solving Ill-Posed Problems with Applications to Inverse Heat Transfer Problems , 1995 .

[8]  S. Rouquette,et al.  Identification of influence factors in a thermal model of a plasma-assisted chemical vapor deposition process , 2007 .

[9]  Time-dependent heat flux identification: Application to a three-dimensional inverse heat conduction problem , 2012, 2012 Proceedings of International Conference on Modelling, Identification and Control.

[10]  Yvon Jarny,et al.  A General Optimization Method using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction , 1991 .

[11]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[12]  Alemdar Hasanov,et al.  Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method , 2013, Comput. Math. Appl..

[13]  Leevan Ling,et al.  Identification of source locations in two-dimensional heat equations , 2006 .

[14]  J. K. Chen,et al.  Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method , 2010 .