Particle Deposition Mechanisms: Mass Diffusion

Convective Diffusion to a Flat Plane

Introducing similarity variable,

(31)

Equations (26) - (28) reduce to

(32)

(33)

where the Schmidt number is defined as

(34)

For a large Schmidt number,  as shown in the figure.

The solution to the Blasius equation (32) is well know and leads to

(35)

Near the plate then

(36)

Using (36) in Equation (33), after integration we find

(37)

Noting that

(38)

We find

(39)

Variation of concentration profile as given by Equation (39) is shown in figure 3 (next page).