Simultaneous estimation of time-varying boundary heat flux and temperature-dependent thermophysical and optical parameters of grey translucent medium

A hybrid optimization method, which combines unscented Kalman smoothing (UKS) technique and se-quential quadratic programming (SQP) algorithm, is proposed to estimate the time-dependent boundary heat flux and temperature-dependent optical and thermophysical parameters (such as absorption coeffi-cient, refractive index and thermal conductivity) of grey translucent medium simultaneously. The tran-sient coupled radiative and conductive problem in grey translucent medium is solved by finite volume method (FVM) in forward model. In inverse problem, the measured signals consist of the temperature and radiative intensity on the boundaries of the medium. The effects of model parameters (such as the number of future time step and process noise covariance) and different incident heat fluxes on the re-constructed results are studied by the UKS-SQP technique. The results indicate that the proposed hybrid optimization technique is accurate and effective for determining the time-varying boundary heat flux, temperature-dependent optical and thermophysical parameters of grey translucent medium even with the measurement error.(c) 2023 Elsevier Ltd. All rights reserved.

Automated summary

A hybrid optimization method that combines unscented Kalman smoothing and sequential quadratic programming is proposed to estimate the time-dependent boundary heat flux and temperature-dependent optical and thermophysical parameters of grey translucent medium simultaneously. The problem is solved using the finite volume method in the forward model, and the measured signals include temperature and radiative intensity on the boundaries of the medium. The results show that the proposed hybrid optimization technique is accurate and effective for determining the time-varying boundary heat flux and temperature-dependent optical and thermophysical parameters of grey translucent medium even with measurement errors.