RECONSTRUCTION OF LOCAL HEAT FLUXES IN POOL BOILING EXPERIMENTS USING THE ENTIRE HEATER GEOMETRY

摘要

In this work, we consider the reconstruction of local boiling heat fluxes from high resolution transient temperature measurements inside the heater obtained during experiments performed at TU Berlin. In our previous work, a very small 3D domain surrounding the microthermocouples at the center of a test heater has been considered. The unknown lateral boundary conditions have been set to zero, due to the lack of better knowledge. This geometry and the related assumptions have been chosen, due to the computational limitations. In the present study, we address for the first time this problem over the entire test heater. This has been only possible by improving the computational efficiency and using a suitable non-uniform discretization strategy. The boundary conditions in this study are well-defined at the boundaries where no boiling occurs. We formulate the heat flux estimation as a three-dimensional transient inverse heat conduction problem (IHCP). The solution of this ill-posed problem is obtained by applying an iterative regularization strategy, which is a combination of the method of conjugate gradients for the normal equation and the discrepancy principle. The obtained results are similar to those obtained in our previous work. The estimates are, however, much better in this work, since we not only recover the dynamics of the signal, but also largely avoid the negative heat fluxes, which we observed using the much smaller region.