Plug flow, reactor model differential operation

In the case of transient operation, an accumulation term, that is, a differential term with respect to time, has to be added to equations 79 and 80 for being able to describe the observations. A batch reactor with uniform concentrations throughout the entire reactor but without continuous feed addition and effluent removal, is inherently operating in a transient regime. The corresponding reactor model equation is analogous to that of a plug flow reactor with the derivative taken with respect to time rather than with respect to position ... 

The axial dispersion plug flow model is used to determine the performance of a reactor with non-ideal flow. Consider a steady state reacting species A, under isothermal operation for a system at constant density Equation 8-121 reduces to a second order differential equation ... 

The integral mode of operation has the inherent advantage that large conversions are achieved, so a high precision of chemical analysis is not required. If a plug flow model is assumed to be valid for such a reactor, a material balance for component A over a differential bed length dz gives... 

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