Analytical Model of the Transport of Aerosol Particles in a Circular Hole Inside a Porous Medium

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• 作者：S. K. Zaripov (1)
  O. V. Soloveva (2)
  E. V. Skvortsov (1)
  
  1. Kazan Federal University ; Kazan ; 420008 ; Russia
  2. Kazan State Power Engineering University ; Kazan ; 420066 ; Russia
  
• 关键词：Aerosol filter ; Porous medium ; Particle concentration ; Penetration
• 刊名：Transport in Porous Media
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：107
• 期：1
• 页码：141-151
• 全文大小：465 KB
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• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634

文摘

The approximate analytical and numerical solutions of the problem of aerosol motion in a circular hole inside a porous medium are presented using the approximations of Poiseuille flow for the carrier phase and the convective-diffusive equation of transport of inertialess particles. Analytical expressions for the fluid velocity profile, the space distribution of particle concentration, and the penetration that include the Darcy number and a slip coefficient at the interface between the porous medium and an adjacent free fluid are obtained as parameters. The numerical solution of the problem of the air flow in the combined porous and free fluid regions was used in order to find the relation between the slip coefficient and the Darcy number.