Experimental Prototype to Validate a Method for Solving an Inverse Heat Conduction Problem

This paper focuses on developing a prototype for identifying specific unknown parameters in real experimentation. The initial objective involves validating a mathematical model representing a 2D thermal system and governed by parabolic partial differential equations. This is achieved by refining the error between temperature measurements from an infrared camera in a real experimental setup, and the mathematical model outputs. The final objective of this research is the parametric identification of a stationary heat source using an iterative regularization method (the conjugate gradient minimization algorithm). The latter is chosen for its effectiveness in addressing challenges inherent in the inverse heat conduction problems, well-known as ill-posed in the Hadamard sense.