Estimation of local heat transfer coefficient on a cylinder : comparison between an analytical and an optimization method
Abstract
This article discusses the comparison between two methods developed for estimating a local heat transfer coefficient in two-dimensional cooled cylinders. The estimation procedure in based on the solution of an inverse heat conduction problem using temperature measurements taken inside the cylinder. The first method uses in analytical solution (integral transform) of the inverse problem under investigation. The second method uses the conjugate gradient method with the adjoint state equation approach to solve the same problem. The two methods were compared by considering several numerical examples involving test cases without and with measured errors. Finally, the two methods are compared using experimental data obtained in our laboratory. The presented results shows that the two methods give approximately the same results. However the implementation seems easier for the analytical method.