Recirculation through a Plug-Flow Batch Reactor

Recirculation Through a Plug-Flow Batch Reactor 

Let us see what happens with a plug-flow reactor and how it differs from the batch reactor model in Section 4.2.1. There will be no mixing or dispersion of the species along the reactor, only a gradual decrease in the 

Equation (4.22) is analogous to Eq. (4.3), the equation for the batch reactor, except that overall partial current density is replaced by a local partial current density We shall return to Eq. (4.22) later but for now we assume a mass transfer limited reaction. Under those circumstances Ax n SkLCAxl substituting this quantity in Eq. (4.22) we get, after a slight rearrangement  

FIGURE 4.2. Recirculation through a plug-flow batch reactor. 

Solution of this partial differential equation requires long numerical routines which can be aided by Laplace transforms. Fortunately, Eq. (4.25) need not be solved rigorously. Since in practice one can adopt a pseudo- 

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