Theoretical Model for Surface Filtration Pressure Drop and Accurate Measurement Method of Dust Cake Porosity

  • Wanyi Zhang
  • Shiming Deng
  • Zhongping LinEmail author
Conference paper
Part of the Environmental Science and Engineering book series (ESE)


Air filters have been widely used in the protection of production and living environments. The dynamic pressure drop of the air filter directly affects the energy consumption of the ventilation system, which has caused widespread concern. This chapter focused on theoretical modelling of dust cake resistance and proposed the device and methods for accurately measuring porosity. Based on the analysis of Cunningham’s sliding correction coefficient, the surface filtration resistance model of lognormally distributed particles is derived and simplified into monodispersed form. A laser scanning distance-measuring device was built to measure the thickness of the dust layer and its variation on the surface of the PTFE membrane. Finally, the porosity of the dust cake was measured and compared with the previous studies.


Dust loading PTFE membrane Slip correction factor Particle size 



The research was supported financially by the national key project of the Ministry of Science and Technology, China, on “Green Buildings and Building Industrialization” through Grant No. 2018YFC0705202.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.School of Mechanical EngineeringTongji UniversityShanghaiChina
  2. 2.Building Service EngineeringHong Kong Polytechnic UniversityHong KongChina

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