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Inertial impact of particles on porous screens

Phys. Rev. Fluids 11, 114303 – Published 9 November, 2026

DOI: https://doi.org/10.1103/ch74-gbk3

Abstract

We investigate the trajectories of small particles in a three-dimensional free flow around and through a porous screen. Our model is based on potential flows at different scales coupled to a viscous particle dynamics. We compute numerically the proportion of the particles deviated around a square screen, and thus the section of interception for which particles are impacting or crossing the screen; the three-dimensionality of the flow leads to a particular geometry of this section of interception that cannot be deduced from a two-dimensional approach. We further take into account the effect of finite-size particles and viscous effects at the pore scale. These results are applied to determine the collection efficiency, i.e., the number of particles that impact the fibers. We show in particular how the optimal screen solidity is sensitive to the local Reynolds number based on the pore length scale. Finally, we propose a formula of the collection efficiency of porous screens valid in a wide range of the parameters and discuss the aerodynamic contribution to the collection.

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References (42)

  1. R. Mead-Hunter, A. J. King, and B. J. Mullins, Aerosol-mist coalescing filters—A review, Sep. Purif. Technol. 133, 484 (2014).
  2. R. S. Schemenauer and P. I. Joe, The collection efficiency of a massive fog collector, Atmos. Res. 24, 53 (1989).
  3. J. O. Juvik and D. Nullet, Comments on "A proposed standard fog collector for use in high-elevation regions”, J. Appl. Meteor. 34, 2108 (1995).
  4. J. O. Juvik and D. Nullet, Relationships between Rainfall, Cloud-Water Interception, and Canopy Throughfall in a Hawaiian Montane Forest, in Tropical Montane Cloud Forests, edited by L. S. Hamilton, J. O. Juvik, and F. N. Scatena, Tropical Montane Cloud Forests. Ecological Studies Vol. 110 (Springer, New York, NY, 1995), pp. 165–182.
  5. C. M. Regalado and A. Ritter, The performance of three fog gauges under field conditions and its relationship with meteorological variables in an exposed site in Tenerife (Canary Islands), Agric. For. Meteorol. 233, 80 (2017).
  6. F. Drewnick, J. Pikmann, F. Fachinger, L. Moormann, F. Sprang, and S. Borrmann, Aerosol filtration efficiency of household materials for homemade face masks: Influence of material properties, particle size, particle electrical charge, face velocity, and leaks, Aerosol Sci. Technol. 55, 63 (2021).
  7. M. Azeem, A. Guérin, T. Dumais, L. Caminos, R. E. Goldstein, A. I. Pesci, J. de Dios Rivera, M. J. Torres, J. Wiener, J. L. Campos, et al., Optimal design of multilayer fog collectors, ACS Appl. Mater. Interfaces 12, 7736 (2020).
  8. D. Carvajal, L. Silva-Llanca, D. Larraguibel, and B. González, On the aerodynamic fog collection efficiency of fog water collectors via three-dimensional numerical simulations, Atmos. Res. 245, 105123 (2020).
  9. V. R. Kern and A. Carlson, Twisted fibers enable drop flow control and enhance fog capture, Proc. Natl. Acad. Sci. USA 121, e2402252121 (2024).
  10. C. M. Regalado and A. Ritter, On the estimation of potential fog water collection from meteorological variables, Agric. For. Meteorol. 276–277, 107645 (2019).
  11. F. Albrecht, Theoretische Untersuchung über die Ablagerung von Staub aus strömender Luft und ihre Anwendung auf die Theorie der Staubfilter, Phys. Z. 32, 48 (1931).
  12. K. E. Noll and M. J. Pilat, Inertial impaction of particles upon rectangular bodies, J. Colloid Interface Sci. 33, 197 (1970).
  13. D. Michael and P. Norey, Particle collision efficiencies for a sphere, J. Fluid Mech. 37, 565 (1969).
  14. A. Y. Varaksin and S. V. Ryzhkov, Particle-laden and droplet-laden two-phase flows past bodies (a review), Symmetry 15, 388 (2023).
  15. I. Langmuir and K. B. Blodgett, A mathematical investigation of water droplet trajectories, Army Air Forces Technical Report 5418 (1946).
  16. A. Moncuquet, A. Mitranescu, O. C. Marchand, S. Ramananarivo, and C. Duprat, Collecting fog with vertical fibres: Combined laboratory and in-situ study, Atmos. Res. 277, 106312 (2022).
  17. C. M. Regalado and A. Ritter, The design of an optimal fog water collector: A theoretical analysis, Atmos. Res. 178-179, 45 (2016).
  18. J. de Dios Rivera, Aerodynamic collection efficiency of flog collectors, Atmos. Res. 102, 335 (2011).
  19. C. N. Davies and C. V. Peetz, Impingement of particles on a transverse cylinder, Proc. R. Soc. A 234, 269 (1956).
  20. F. O. Griffin and A. Meisen, Impaction of spherical particles on cylinders at moderate Reynolds numbers, Chem. Eng. Sci. 28, 2155 (1973).
  21. Y. Huang, Q. Chen, Y. Li, X. Li, H. Yu, and Z. Tan, Multi-scale modeling of fog harvesting using thin-fiber grids—Towards new design rubrics, Sep. Purif. Technol. 354, 129137 (2025).
  22. L. Silva-Llanca, D. Carvajal, D. Larraguibel, and B. González, A CFD study of the aerodynamic efficiency of V-shaped fog water collectors, Int. J. Heat Fluid Flow 107, 109382 (2024).
  23. M. Xie, Q. He, W. Wang, and L. P. Wang, An exact solution of interception efficiency over a circular-arc fiber collector, Comput. Fluids 88, 354 (2013).
  24. O. C. Marchand, S. Ramananarivo, C. Duprat, and C. Josserand, Three-dimensional flow around and through a porous screen, J. Fluid Mech. 987, A20 (2024).
  25. R. Gatignol, The Faxen formulae for a rigid particle in an unsteady non-uniform Stokes flow, J. Theor. Appl. Mech. 143, 143 (1983).
  26. M. R. Maxey and J. J. Riley, Equation of motion for a small rigid sphere in a nonuniform flow, Phys. Fluids 26, 883 (1983).
  27. J. K. Koo and D. F. James, Fluid flow around and through a screen, J. Fluid Mech. 60, 513 (1973).
  28. K. Steiros and M. Hultmark, Drag on flat plates of arbitrary porosity, J. Fluid Mech. 853, R3 (2018).
  29. E. Brundrett, Prediction of pressure drop for incompressible flow through screens, J. Fluids Eng. 115, 239 (1993).
  30. B. J. Bailey, J. I. Montero, J. P. Parra, A. P. Robertson, E. Baeza, and R. Kamaruddin, Airflow resistance of greenhouse ventilators with and without insect screens, Biosyst. Eng. 86, 217 (2003).
  31. R. Wessel and J. Righi, Generalized correlations for inertial impaction of particles on a circular cylinder, Aerosol Sci. Technol. 9, 29 (1988).
  32. W. Lewis and R. J. Brun, Impingement of water droplets on a rectangular half body in a two-dimensional incompressible flow field, Technical Report Technical Note 3658, National Advisory Committee for Aeronautics (Cleveland, 1956), https://ntrs.nasa.gov/citations/19810068695.
  33. M. Glauert, A method of constructing the paths of raindrops of different diameters moving in the neighbourhood of (1) a circular cylinder, (2) an aerofoil, placed in a uniform stream of air; and a determination of the rate of deposit of the drops on the surface and the percentage of drops caught, Technical Report Reports and Memoranda 2025, British Aeronautical Research Committee (1940).
  34. A. Kantrowitz, Aerodynamic heating and the delfection of drops by an obstacle in an air stream in relation to aircraft icing, Technical Note No. 779, National Advisory Committee for Aeronautics (Washington, DC, 1940), https://ntrs.nasa.gov/citations/19930081535.
  35. K. A. Frumau, R. Burkad, S. Schmid, L. Bruijnzeel, C. Tobon-Marin, and J. Calvo, Fog Gauge performance under Fog and Wind-driven rain conditions, mountains in the Mist: Science for Conserving and Managing tropical montane cloud forests (University of Hawaii Press, Honolulu, 2007).
  36. Y. M. Tsirkunov, Influence of the viscous boundary layer on the deposition of particles from a gas suspension flowing past a sphere, Fluid Dyn. 17, 48 (1982).
  37. J. F. D. L. Mora and D. E. Rosner, Effects of inertia on the diffusional deposition of small particles to spheres and cylinders at low Reynolds numbers, J. Fluid Mech. 125, 379 (1982).
  38. M. M. Zdravkovich, The effects of interference between circular cylinders in cross flow, J. Fluids Struct. 1, 239 (1987).
  39. Y. Zhou and M. M. Alam, Wake of two interacting circular cylinders: A review, Int. J. Heat Fluid Flow 62, 510 (2016).
  40. O. C. Marchand, Porous screen collection efficiency, 2026, URL:https://archive.softwareheritage.org/swh:1:dir:f714a80ee8a459e83fd0d1d54f102c410de2443f;origin=https://github.com/olivier-marchand/porous-screen-collection-efficiency;visit=swh:1:snp:848e8cd76844e046e07bd7767b5dcfa480fdc213;anchor=swh:1:rev:82e6134f917176e18ddff94bcc08b070e215e2d6.
  41. S. Liao, Homotopy Analysis Method in Nonlinear Differential Equations (Springer, 2011).
  42. S. Liao, A short review on the homotopy analysis method in fluid mechanics, J. Hydrodyn. B 22, 839 (2010).

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