TY - JOUR
T1 - Estimating thermal conductivity of lightweight nanoporous cement pastes using a hybrid fractal model
AU - Jiang, Jun
AU - Zheng, Li
AU - Roderick Jones, M.
AU - Lu, Zhongyuan
AU - Li, Jun
N1 - Funding Information:
The authors would also like to acknowledge the funding from Open Project of State Key Laboratory of Environment-friendly Energy Materials (19kfhg16), Natural Science Foundation of Southwest University of Science and Technology (20zx7102), and the Science and Technology Project of Sichuan Province (No.2019ZDZX0024).
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/4/11
Y1 - 2022/4/11
N2 - Nanoporous cement paste (NCP) has been successfully prepared by adding nanopore-forming agent into cement paste, and the measured effective thermal conductivity (λe) of NCP shows that it has excellent thermal insulation performance. To promote NCP design and application, λe estimation is essential. In this paper, a hybrid fractal model (HFM) was developed based on fractal theory and related iterative algorithm using Sierpinski carpets, and electrical equivalent theory. Subsequently, this model was validated with published data and then used to predict the λe of the NCPs prepared. The results indicated that the multi-scale pore structure of NCPs was well simulated by the HFM with randomly generated Sierpinski carpet combinations. Having considered Knudsen effect of nanoporous structure, the λe of the NCPs could be well estimated using iterative algorithm, and the mean relative deviation was low to 4.2%, giving confidence in the application of the HFM method to nanoporous materials.
AB - Nanoporous cement paste (NCP) has been successfully prepared by adding nanopore-forming agent into cement paste, and the measured effective thermal conductivity (λe) of NCP shows that it has excellent thermal insulation performance. To promote NCP design and application, λe estimation is essential. In this paper, a hybrid fractal model (HFM) was developed based on fractal theory and related iterative algorithm using Sierpinski carpets, and electrical equivalent theory. Subsequently, this model was validated with published data and then used to predict the λe of the NCPs prepared. The results indicated that the multi-scale pore structure of NCPs was well simulated by the HFM with randomly generated Sierpinski carpet combinations. Having considered Knudsen effect of nanoporous structure, the λe of the NCPs could be well estimated using iterative algorithm, and the mean relative deviation was low to 4.2%, giving confidence in the application of the HFM method to nanoporous materials.
KW - Effective thermal conductivity
KW - Fractal theory
KW - Knudsen effect
KW - Lightweight nanoporous cement paste
KW - Sierpinski carpet
UR - http://www.scopus.com/inward/record.url?scp=85125282546&partnerID=8YFLogxK
U2 - 10.1016/j.conbuildmat.2022.126941
DO - 10.1016/j.conbuildmat.2022.126941
M3 - Article
AN - SCOPUS:85125282546
SN - 0950-0618
VL - 327
SP - 1
EP - 11
JO - Construction and Building Materials
JF - Construction and Building Materials
M1 - 126941
ER -