Simultaneous inverse estimation for boundary heat and moisture fluxes of a double-layer annular cylinder with interface resistance

Abstract

Based on the conjugate gradient method, this study presents a means of solving the inverse boundary value problem of coupled heat and moisture transport in a double-layer annular cylinder. While knowing the temperature and moisture history at the measuring positions, the unknown time-dependent boundary heat and moisture fluxes can be simultaneously determined. It is assumed that no prior information is available on the functional form of the unknown heat and moisture fluxes. The accuracy of this inverse heat and moisture transport problem is examined by using the simulated exact and inexact temperature and moisture measurements in the numerical experiments. Results show that excellent estimation on the time-dependent boundary fluxes can be obtained with any arbitrary initial guesses. In addition, the contact resistance of heat and moisture transfer at the interface of the two layers is considered in the analysis.