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Numerical Prediction of Effective Thermal Conductivity of Refractory Materials: Methodology and Sensitivity Analysis
R. Zehmisch, C. Demuth, A. Al-Zoubi, M.A.A. Mendes, F. Ballani, S. Ray, D. Trimis
Abstract
The present paper deals with numerical predictions of the effective thermal conductivity (keff) of refractory materials. The composite is modelled using a geometry generation method; either the Coloured Dead Leaves Model (CDLM) or the modified version of the Random Sequential Adsorption (RSA) algorithm, for coarse grain components. On the other hand, there are constituents which could not be resolved by the computational model and are, therefore, treated as a continuous interstitial phase, termed as the ‘unresolved’ or the ‘rest’ material. The generated random geometry is discretised employing a uniform grid in the computational domain, where the heat conduction equation is solved with either the Thermal Lattice-Boltzmann Method (TLBM) or the Finite Volume Method (FVM). From the steady-state solution of the heat conduction equation, keff is determined using a simple averaged relation. This investigation also comprises the sensitivity analysis of the presented methodology with regard to the isotropy of generated geometry, the reproducibility of results, the employed shape of grains and the unknown thermal conductivity of ‘rest’ material. Results indicate that keff is linearly dependent on the last, whereas it is nearly insensitive to other parameters.
Keywords
Effective thermal conductivity, refractory materials, thermal lattice-Boltzmann method, random sequential adsorption, sensitivity analysis
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