V. A. Kirsha, A. K. Budykab, and A. A. Kirshc
a Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences,
Leninskii pr. 31, Moscow, 119991 Russia
b State Scientific Center Karpov Research Institute of Physical Chemistry, ul. Vorontsovo pole 10, Moscow, 105064 Russia
c Russian Scientific Center Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182 Russia
Received October 19, 2007
Abstract—The peculiarities of the hydrodynamic flow field and diffusion deposition of nanoparticles in filtra-
tion layers of nanofibers obtained by spraying a polymer solution in an electric field are considered. The main
attention is focused on the effect of doubled nanofibers or pairs of parallel fibers that result from longitudinal
splitting of charged jets on the hydrodynamic characteristics. The calculations are performed for a periodical
row of doubled parallel fibers oriented normal to the flow. The flow field and the rate of nanoparticle deposition
in the row are investigated as dependences on the distances between the pairs of the fibers, interfiber distances
in pairs, orientation of the pairs relative to the direction of a flow, and the relations between fiber diameters in
the pairs. The equations for the flow of a viscous incompressible liquid are solved under the Stokes approxima-
tion employing the method of fundamental solutions, and the stream functions, fields of velocities, and drag
forces acting upon the fibers are determined. For the found flow fields, the coefficients of diffusion capture are
determined by the numerical solution of the convective diffusion equation. It is established that, when fibers are
drawn together in pairs to their contact in a rarefied row, the drag force decreases twofold. This result agrees
with experimental data and the analytical solution for the constrained flow around pairs of similar fibers in a
rarefied row.
DOI: 10.1134/S1061933X08050062
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