Heat Transfer In A Number Of Inversion

Inverse Heat Transfer Problems play an important role in many engineering aspects, such as space-techniques, casting, detecting, chemical engineering etc. Study on inverse heat transfer problems with multi-variables is dramatically significant theoretically and practically. ,Based on a finite-element frame solving direct problems, this paper presents general numerical models to solve inverse steady/transient-state Two-Dimensional heat transfer problems with multi-variables. Formulae of first and second-order sensitivity are derived. The solutions of inverse problems are obtained to determine unknown boundary conditions and thermal parameters via modified Conjugate Gradient Method. In numerical experiments the effects of the distributions of sample points in space domain, the number of sample points and data noise etc. on the solutions are considered. A new Back-Forward Iteration Method is proposed for identifying transient boundary conditions with multi-variables.The general numerical models presented are convenient for sensitivity analysis, and can be used to solve inverse steady/transient heat conduction problems with multi-variables. Numerical results indicate that modified conjugate gradient method and Back-Forward Iteration Method can solve inverse problems steadily with high precision. The approaches proposed in this paper can therefore be used as useful tools to solve inverse heat conduction problems.