Solutions of one-dimensional inverse heat conduction problems: a review

Abstract

Estimations using the inverse conduction approach to predict temperature and heat flux at the exposed surface leads to indirect measurement away from the exposed surface within the solid. The approach is extremely useful when access to direct measurements is not possible due to various working conditions, thereby provides estimates without disturbing the flow under the real flow condition over the surface. The approach is useful not only for the heat transfer applications but also for numerous engineering applications including fluid mechanics and furnace applications. The approach requires the time history of effective parameters to be known at the strategic locations away from the exposed surface. In the present paper a review of sequential development of various inverse heat conduction methods have been presented to get solutions in different geometries. 

Estimation of Temperature-Dependent Thermal Conductivity and Heat Capacity Given Boundary Data

“…The inverse heat conduction problem has become increasingly significant due to its connection to a variety of practical engineering and industrial applications [1][2][3]. It is used to identify thermal properties, as well as initial and boundary conditions.…”