Deposition of aerosol nanoparticles in fibrous filters

The deposition of aerosol nanoparticles on model fibrous filters of different porosity at small Reynolds numbers was considered. The efficiency of particle deposition on a fiber was determined by the numerical solution of the convective diffusion equation in the ordered systems of parallel fibers located perpendicularly to A flow. The calculation results agree with the known experiments on the model filters over the Peclet number (Pe) range from 0.05 to 1000. It was shown that the Natanson-Stechkina formula for the coefficient of capture obtained in the limit of thin diffusion boundary layer at Pe >>1 is valid within a wide range of the Peclet numbers up to Pe similar to 1.