An intermingled fractal units model to evaluate pore size distribution influence on thermal conductivity values in porous materials

Porous ceramic materials by pore-forming agent method: An intermingled fractal units analysis and procedure to predict thermal conductivity

“…According to Pia et al [21] in equal volume fraction of voids it is known that the greater the amount of pores of smaller size, the lower the thermal conductivity. So, for example C15 has a lower thermal conductivity than D15 (Fig.…”

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

“…(60) and (61), which is also calculated from the fist stage to the nth stage. Especially, the model of Pia and Sanna accounts for the effect of pore size distribution, and thus it can further improve the prediction accuracy of the effective thermal conductivity compared to the models based on the ordered porous structures [111].…”

On the elastic deformation properties of porous ceramic materials obtained by pore-forming agent method

“…On the other hand the role of pore size distribution has been studied much less [41,42]. That is probably due to a number of difficulties of representing pore size distribution as a parameter in many different formulas.…”

“…Moreover, in recent years several fractal models have been proposed, for example, in order: to study spontaneous imbibition process in different rock types, fibrous materials, and silica glass [47]; to stream current in porous media [48]; to demonstrate that the heterogeneity of the Geysers rocks can be determined quantitatively using fractal dimension [49]; to evaluate and predict thermal conductivity, permeability, diffusion and sorptivity coefficient taking into account pore size distribution influence [42,[50][51][52][53][54].…”