Models for the packed-bubble-column gas-liquid reactors

4-7 MODELS FOR THE PACKED-BUBBLE-COLUMN GAS-LIQUID REACTOR 

Pavlica and Olson38 outlined a generalized axial dispersion model for the isothermal bubble-column reactor in which a pseudo-first-order reaction occurred in both the gas and liquid phases. The model considered axial mixing in both the gas and the liquid phases. Here, we review a model for the reactor in which a generalized (m, n)th-order reaction between a gaseous species A and a liquid species C is carried out in the liquid phase. There are many chlorination, nitration, sulfonation, alkylation, and hydrogenation reactions which can be 

The formulation of the mathematical equation depends upon the reaction regime. If the reaction is slow, most of it would occur in the bulk-liquid phase. This reaction regime is characterized by the value of the parameter 

In this regime, the reaction is complete in the diffusion film. -JM is of the order of qA, the reaction is instantaneous, i.e., it occurs at a plane within the liquid and species A, and C cannot coexist in the liquid phase. Here, we shall consider three reaction regimes separately. 

For a cocurrent flow of gas and liquid at steady state, the governing liquid-phase differential equations for species A and C in dimensionless form are 

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