A Multiscale Fractal Model for Predicting the VOC Diffusion Coefficient of Fabric

  • Ruixue Ma
  • Xiaojun ZhouEmail author
  • Fenghao Wang
  • Xinke Wang
  • Zhihua Wang
Conference paper
Part of the Environmental Science and Engineering book series (ESE)


Fabric is widely distributed indoors. Its porous structure results strong adsorption capacity for volatile organic compound (VOC). The secondary source effect caused by desorption can exacerbate indoor air pollution and prolong the pollution period. Fabrics play a significant role in the VOC mass transfer process indoors. VOC emission is mainly characterized by three characteristic parameters: the initial emittable concentration (C0), the diffusion coefficient (D) and the partition coefficient (K). In this paper, a new model for predicting the diffusion coefficient (D) of fabric is proposed. The model analyzed the multilayer anisotropic interlacing fiber structures comprehensively. A series of environmental chamber experiments were carried out to verify the correctness of the model. Three different types of fabrics (silk, cotton, and polyester) were selected as experimental samples, and formaldehyde was selected as the representative VOC gas. This paper provides a theoretical basis for the accurate prediction of indoor air quality and the design of appropriate control strategies.


Indoor air quality Volatile organic compound Diffusion coefficient Fabric structure Fractal theory 



The project is supported by the National Natural Science Foundation of China (NO. 51808441), the Project Funded by China Postdoctoral Science Foundation (NO. 2019T120913 and NO. 2018M633515), the Fundamental Research Funds for the Central Universities (NO. xjj2018077), and the Xi’an Science and Technology Planning Project (NO. 201805034YD12CG18(1)) for their financial support.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Ruixue Ma
    • 1
  • Xiaojun Zhou
    • 1
    Email author
  • Fenghao Wang
    • 1
  • Xinke Wang
    • 1
  • Zhihua Wang
    • 1
  1. 1.School of Human Settlements and Civil EngineeringXi’an Jiaotong UniversityXi’anChina

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