Estimation of unknown thermal boundary conditions for forced convection heat transfer

Abstract

An inverse approach to estimate unknown steady thermal boundary conditions with spacewise variation for forced convection field is proposed. The estimation is based on adjoint formulation using transient temperature measurements taken with single sensor. Least squares method is applied to the extimation process to overcome the ill-posed behavior associated with inverse problems. A numerical example determining the unknown wall heaf flux for the parallel plate model is shown to demonstrate the possibility of this method.