Identification of time and spatial varying heat flux from surface measurements based on temperature-sensitive paint technology

Motivated by atmospheric re-entry of aerospace vehicles, this paper is concerned with inverse analyses of highly dynamical heat flux. The analytical model is given by three dimensional heat diffusion equation with unknown boundary parameters. The computational methods for identifying time and spatial distribution of heat flux is proposed using the idea of output least square problem and split-half method. The proposed algorithm is successfully tested with the laboratory experimental data.