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ISSN Online: 2377-424X

International Heat Transfer Conference 12
August, 18-23, 2002, Grenoble, France

A modal approach to solve linear inverse thermal problems. Heat flux estimation in a tribology process

Get access (open in a dialog) DOI: 10.1615/IHTC12.350
6 pages

摘要

A reduced model describing heat transfer by diffusion and advection in a system is used to solve the inverse thermal problem, i. e., to estimate the time and spatial variation of the solicitations from temperature measurements in the system. The reduction is performed on the modal basis, i. e., the eigenfunctions and associated eigenvalues of the heat transfer operator. The optimal reduction, with regards to the resolution of the inverse problem, lead to eliminate the modes whose time constants are smaller than the time of heat transfer from the solicitation to the nearest sensor. The implicitly restarted Arnoldi method is used in order to compute the desired eigenmodes.
The application concerns the estimation of the spatial and time dependent variation of the heat flux received by a disk in rotation around its axis. Heat source is generated by sliding at the interface of the disk with a fix pin. Temperature measurements are obtained from an infrared camera. A very interesting feature of the method is that the inverse problem is solved with very low computational time and computational resources. On the other hand, the reduction has no influence on the regularization of the inverse problem. Finally, given to the modal formulation, the solution of the inverse problem is stable whatever the choice of the time step.