A 3-D numerical heat transfer model for silica aerogels based on the porous secondary nanoparticle aggregate structure

A multi-level fractal model for the effective thermal conductivity of silica aerogel

“…Then the area fractal dimension, D f , can be obtained from the generated aggregation structure through the power-law relationship between the radius of gyration and the number of simulated particles [36]. The developed DLCA method has already been validated by Zhao's simulation results [19] and Woignier's experiment data [37]. Fig.…”

“…Spagnol et al [18] developed a numerical model via two steps: determining the properties of monolith at the nano-scale with a periodic fractal pattern built with fractal Von Koch snowflakes at high order and applying them to macroscopic grain packing. On the basis of the random aggregated structure of secondary porous nano-particles, Zhao et al [19] developed a 3-D finitevolume numerical model to predict the total thermal conductivity of silica aerogel. Xie et al [20] developed a fractal-intersecting sphere model for nano-porous silica aerogel.…”

Thermal transport in nano-porous insulation of aerogel: Factors, models and outlook

“…However, in Spagnol numerical model, the size effect of the thermal conductivity of aerogel solid phase is neglected, and thus the effective thermal conductivity of aerogel is overestimated. For this reason, Zhao et al [115] account for the size effect by using the thermal conductivity of the aerogel secondary nanoparticle to improve the prediction accuracy. Here, the secondary particle refers to the large particle which forms from the aggregation of multiple small particles.…”

Flexible and Transparent Silica Aerogels: An Overview

“…Today, one of the most focusing areas is the modeling of the thermal behavior of granular-and fiber-based silica aerogel and its composites [9][10][11][12][13]. Despite all these efforts, silica aerogel has been applied only for scientific motives in the aerospace industry.…”