Dynamics of Adiabatic Tubular Flow Reactors

Equation (13.43) is used to compute Fig. 13.5 for A i = 0.1 and for four different values of the Peclet number. 

It can be seen that for small values of the Peclet number, which corresponds to large values of the diffusion, the behavior approximates the response of an ideally mixed reactor. For large Peclet numbers, i.e. small values of the diffiision, the behavior the behavior approximates the behavior of a pure dead-time process. 

In practice, temperatures in a tubular reactor mostly vary, resulting in a non-uniform temperature profile along the reactor (Fig. 13.6). The following assumptions are made  

The component balance over the length Az for component A can still be represented by Eqn. (13.5). 

An energy balance for the fluid over an element of length Az can be written as  

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