Estimating thermal conductivity of lightweight nanoporous cement pastes using a hybrid fractal model

Nanoporous cement paste (NCP) has been successfully prepared by adding nanopore-forming agent into paste, and the measured effective thermal conductivity (?e) of NCP shows that it excellent insulation performance. To promote design application, ?e estimation is essential. In this paper, a hybrid fractal model (HFM) was developed based on theory related iterative algorithm using Sierpinski carpets, electrical equivalent theory. Subsequently, validated with published data then used to predict NCPs prepared. The results indicated multi-scale pore structure well simulated HFM randomly generated carpet combinations. Having considered Knudsen effect nanoporous structure, could be estimated algorithm, mean relative deviation low 4.2%, giving confidence in application method materials.