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The theoretical study of the efficiency of diffusion deposition of nanoaerosols in the extended range of the Peclet numbers
Institution:1. School of Chemical Engineering and Technology, Tianjin University, Tianjin, 300072, China;2. Department of Chemical & Biochemical Engineering, Western University, London, Ontario, N6A 3K7, Canada;3. Institute of Shaoxing, Tianjin University, Zhejiang, 312300, China;1. Department of Epidemiology and Environmental Health, School of Public and Health Professions, University at Buffalo, Buffalo, 14214, USA;2. Department of Earth Science and Geography, California State University, Dominguez Hills, Carson, 90747, USA;3. Department of Environmental Science, Baylor University, Waco, 76798, USA;1. Lattice Boltzmann Research Group, Karlsruhe Institute of Technology, Straße am Forum 8, Karlsruhe, 76131, Germany;2. Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology, Straße am Forum 8, Karlsruhe, 76131, Germany;3. Institute of Engineering Mechanics, Karlsruhe Institute of Technology, Kaiserstraße 10, Karlsruhe, 76131, Germany;4. Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Englerstraße 2, Karlsruhe, 76131, Germany;1. Key Laboratory for Resilient Infrastructures of Coastal Cities (MOE), Shenzhen University, Shenzhen, 518060, China;2. College of Civil and Transportation Engineering, Shenzhen University, Shenzhen, 518060, China;3. Shenzhen Key Laboratory of Green, Efficient and Intelligent Construction of Underground Metro Station, Shenzhen University, Shenzhen, 518060, China;4. School of Transportation, Civil Engineering & Architecture, Foshan University, Foshan, 528225, China
Abstract:The efficiencies of the diffusion deposition of nanoaerosols for a single fiber for the models of aerosol filter and wire mesh screen are studied numerically in the extended range of the Peclet number Pe. The rectangular periodic cell model for fluid flow and convective-diffusive transport of small aerosol particles is used. Most of the previous theoretical and experimental studies of single fiber diffusion deposition efficiency were for the case of Pe > 1. The array with uniform square or chess grid of fibers and of a row of circular cylindrical fibers are considered as the filter and wire mesh screen models. The flow and particles transport equations are solved numerically using the Boundary Element Method.The obtained numerical data are used to derive the approximate formulas for the deposition efficiency in the entire range of the Peclet number for the various porosities of the filter medium or distances between fibers in a wire mesh screen. The derived dependencies take into account nonlinearity of the deposition efficiency at the low Peclet numbers. The obtained analytical dependencies compare well with the numerical and experimental data.
Keywords:Array of fibers  Row of fibers  Periodic cell model  Convection-diffusion equation  Single fiber efficiency
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