Determination of the boundary temperature errors by variation of two temperature sensor locations in a one‐dimensional inverse heat conduction problem

Abstract

Investigates errors of the reconstruction temperatures at boundaries caused by variation of the locations of two temperature sensors in a one‐dimensional inverse heat conduction problem (IHCP) by using a time marching implicit finite difference inverse solver. Numerical simulation results of selected functions indicate that errors of the reconstruction temperature at each boundary can be presented by a simple relation. Each relation contains an unknown coefficient which can be determined by using one numerical simulation through the inverse solver of a pair specified sensor locations. This relation can then be used for estimating the other recovery errors at the boundary without using the inverse solver.

Citation

Chen, T., Lin, S. and Wang, J.C.Y. (1997), "Determination of the boundary temperature errors by variation of two temperature sensor locations in a one‐dimensional inverse heat conduction problem", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 7 No. 7, pp. 635-646. https://doi.org/10.1108/09615539710185514