Particle Deposition Mechanisms: Diffusion to a Cylinder

The boundary conditions given by (4) for small aerosols reduce to

(6)

Introducing the stream function

(7)

and using x and  as independent variables, one finds

(8)

When the concentration boundary layer is thin, the stream function given by (1) may be approximated as

(9)

where

(10)

Here

(11)