Title: | A spatial fractional diffusion model for predicting the characteristics of VOCs emission in porous dry building material |
Author(s): | Bai Y; Huo L; Zhang Y; Liu J; Shao H; Wu C; Guo Z; |
Address: | "School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China; Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing University of Civil Engineering and Architecture, Beijing 100044, China. Electronic address: baiyu@bucea.edu.cn. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China; Beijing Key Laboratory of Functional Materials for Building Structure and Environment Remediation, Beijing University of Civil Engineering and Architecture, Beijing 100044, China. Department of Chemistry, School of Chemistry and Biological Engineering, University of Science and Technology Beijing, Beijing 100083, China. China Building Material Test & Certification Group Co., Ltd., Beijing 100024, China" |
DOI: | 10.1016/j.scitotenv.2019.135342 |
ISSN/ISBN: | 1879-1026 (Electronic) 0048-9697 (Linking) |
Abstract: | "Volatile organic compounds (VOCs) concentrations of dry building materials can significantly affect the quality of indoor air. In this paper, a spatial fractional diffusion model is established by introducing fractional Fick's law, based on the fact that the pore structure of porous building materials has a strongly impact on VOCs diffusion. Furthermore, the areal porosity of the material is drawn into the convection mass transfer equation. The relevant parameters are estimated by a kind of optimization algorithm. The fractional nonlinear equations are tackled by the finite difference method combined with L2-algorithm. Results indicate that spatial fractional diffusion model agrees better with the experimental data than Deng and Kim's model. The spatial fractional diffusion model is used to describe the formaldehyde concentration in the particleboard according to the experimental data. Taking formaldehyde as a common substance, the influences of physical parameters on VOCs diffusion are predicted by this model. The results of numerical simulation demonstrate that the diffusion is consistent with the actual situation" |
Keywords: | Fractional Fick's law Parameter estimation Porous medium Spatial fractional diffusion model VOCs emission; |
Notes: | "PubMed-not-MEDLINEBai, Yu Huo, Lamei Zhang, Yan Liu, Jiemin Shao, Huiqi Wu, Chuandong Guo, Zhongbao eng Netherlands 2020/01/04 Sci Total Environ. 2020 Feb 20; 704:135342. doi: 10.1016/j.scitotenv.2019.135342. Epub 2019 Nov 22" |