Simulation of Nanofibrous Filters Produced
by the Electrospinning Method:
2. The Effect of Gas Slip on the Pressure Drop

V. A. Kirsh^a, A. K. Budyka^b, and A. A. Kirsh^c

^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 dependence of pressure drop in a model filter on the distance between pairs of fibers, interfiber
distances in the pairs, and the orientation of the pairs of fibers relative to flow direction is calculated with allow-
ance for the effect of gas slip along the surface of doubled nanofibers. An isolated row of doubled parallel fibers
oriented normal to the flow is selected as a model filter. Flow fields in the row of the fibers and drag forces acting
upon them are calculated by the Stokes equations, which are solved by the numerical method of fundamental
solutions. For pairs of fibers lying in the same plane in a row, the results of the numerical calculations agree
with the analytical solution.

DOI: 10.1134/S1061933X08050074

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