Mathematical model, behavior adsorbent columns

In most adsorption processes the adsorbent is contacted with fluid in a packed bed. An understanding of the dynamic behavior of such systems is therefore needed for rational process design and optimization. What is required is a mathematical model which allows the effluent concentration to be predicted for any defined change in the feed concentration or flow rate to the bed. The flow pattern can generally be represented adequately by the axial dispersed plug-flow model, according to which a mass balance for an element of the column yields, for the basic differential equation governing llie dynamic behavior,... 

The differential mass balance equations for an element of the adsorption column and for ab adsorbent particle within such an element provide the starting ppint fod development of a mathematical model to describe the d amic behavior of the system. We consider an clement of the bed, as sketched in Figure ll, through which a fluid stream containing concentration c(z,l) of an adsorbable species is flowing. If the flow pattern can be represented as axially dispersed plug flow the differential fluid phase mass bal-... 

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