Prediction of spectral radiative property based on the microscopic ligament morphology and pore-level structure of open-cell alumina foam

In this work, based on the complete structure model consisting of microscopic ligament morphology and pore-level structure, a trans-scale analysis method is presented for accurately predicting the spectral radiative properties of open-cell ceramic foams. The characteristic models of microscopic ligament morphologies are obtained by the SEM technique, while the network structure of ligaments is reconstructed by the μ-CT technique. According to the SEM data, the microscopic statistical models are developed for the rough surfaces and the internal porous media of ligaments. Additionally, based on the statistical models, the FDTD method is employed to analyze the spectral radiative transfer behaviors on the surfaces and inside the ligament media. The spectral directional-hemispherical reflectivity and specularity parameter for the ligament surface, as well as the extinction coefficient, the scattering albedo and the scattering phase function for the ligament medium are extracted from the FDTD simulations. The above parameters are used as the input data for the pore-level simulations of spectral radiative transfer inside the ligament network, where the Monte Carlo method is conducted. The apparent spectral absorptivity and reflectivity, as well as the equivalent volumetric spectral radiative properties of alumina foam sheets are predicted by the presented trans-scale analysis method. The trans-scale predicting method is verified and compared with the single pore-level simulations of radiative transfer inside alumina foams. The spectral radiative characteristics of alumina foams are analyzed for various wavelengths and incident angles. From the analysis, only when the specularity parameter is properly chosen, the pore-level simulation is also reliable for predicting the spectral radiative properties of ceramic foams.