In 0-D closed (batch) and open (PSR) reactor models all gas-particle properties are assumed to be uniform throughout the reactor. That is convection, diffusion, and thermophoresis of the properties are ignored. Therefore, the governing equation for particle number density of size j is

(19–119)

In the above equation, V is the reactor volume and Q indicates the volumetric flow rate. The last term on right hand side is the net production rate of particles of size j per unit volume per unit time computed using expression developed in previous sections.

Accordingly, the r -th size moment equation and particle-bound surface species equations are

(19–120)

(19–121)