Abstract
This work examines the effects of the known boundary conditions on the accuracy of the solution in one-dimensional inverse heat conduction problems. The failures in many applications of these problems are attributed to inaccuracy of the specified constants and boundary conditions. Since the boundary conditions and material properties in most thermal problems are imposed with uncertainty, the effects of their inaccuracy should be understood prior to the inverse analyses. The deviation from the exact solution has been examined for each case according to the errors in material properties, boundary location, and known boundary conditions. The results show that the effects of such errors are dramatic. Based on these results, the applicability and limitations of the inverse heat conduction analyses have been evaluated and discussed.
Highlights
The inverse heat conduction problem (IHCP) has become one of the most solved problems in heat transfer [1]
This work has tested the effects of incorrectly specified constants, such as the material properties, boundary conditions, and sensor locations
The effects of thermal conductivity errors are proportional to the magnitudes of the errors. and they do not induce severe oscillations
Summary
The inverse heat conduction problem (IHCP) has become one of the most solved problems in heat transfer [1]. Since Beck [2] and Alifanov [3] established the sequential method and the gradient method, respectively, there have been a large number of applications using those methods. Many works have tried to retrieve the boundary conditions from the experimental data [1]. The matter related to known boundary conditions is one of the least studied parts of IHCP, despite the long history of the related studies. The reason is not because it is unimportant, but because it is assumed known in IHCP while defining the problem
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