Abstract
A non-iterative approach based on adjoint formulation of conduction heat transfer is proposed to identify the thermal boundary conditions from a transient temperature history measured in a solid body. Using a numerical solution of the adjoint problem, which can be regarded as a numerical Green's function, the temperature at the measuring point can be evaluated under arbitrary thermal boundary conditions. As a result, we can inversely predict the thermal boundary conditions from the measured temperature history by assuming the step-wise profiles of thermal boundary conditions both in time and space.
