Particle Deposition Mechanisms: Mass Diffusion

Particle Diffusion to a Wall

 For a one-dimensional case, the diffusion equation given by (18) in the absence of a flow field becomes

(12)

For an initially uniform concentration of aerosols in the neighborhood of an absorbing wall, the initial and boundary conditions are: . The solution to Equation (28) then becomes

(13)

where

(14)

The variation of concentration profile with time are shown in Figure 1. (Note that y has the same unit as .)