The deposition of aerosol nanoparticles from Stokes flows in screen-type diffusion batteries designed for the determination of diffusion coefficients for suspended nanoparticles is considered. Average fiber collection efficiencies η calculated for screens consisting of two perpendicularly contacting rows of parallel equidistant straight fibers agree with the experimental data obtained for woven screens within the Peclet number range Pe = 0.15-1000. It is shown that, for dense screens, the η ～ Pe~(-2/3) power dependence is valid at Pe > 10. For rarefied screens, this dependence is fulfilled down to Pe ～ 0.1. At Pe? 1, the integral flow of particles advancing on the fibers of the first row in the screen and the fiber collection efficiency, r| of an isolated row tends to a geometrical limit, which is equal to the ratio of the distance between the axes of the fibers to the fiber diameter.
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