Mathematical models of packed bed

Rohit Khanna and John H. Seinfeld, Mathematical Modeling of Packed Bed Reactors Numerical Solutions and Control Model Development... 

Edward G. Jefferson, Future Opportunities in Chemical Engineering Eli Ruckenstein, Analysis of Transport Phenomena Using Scaling and Physical Models Rohit Khanna and John H. Seinfeld, Mathematical Modeling of Packed Bed Reactors Numerical Solutions and Control Model Development... 

MATHEMATICAL MODELING OF PACKED BED REACTORS NUMERICAL SOLUTIONS AND CONTROL MODEL DEVELOPMENT... 

One approach to developing mathematical models is to begin with one that contains a relatively detailed description of the physical system and then to derive simpler models by identifying those elements that can be approximated while still retaining the essential behavior of the system (see, for example, Aris, 1978). This is the approach that we will follow here. Our particular interest will be in deriving mathematical models of packed bed reactors that are appropriate for use in designing control systems. Thus, we will be interested in models capable of simulating dynamic behavior. 

Mathematical models of packed bed reactors can be classified into two broad categories (1) one-phase, or pseudohomogeneous, models in which the reactor bed is approximated as a quasi-homogeneous medium and (2) two-phase, or heterogeneous, models in which the catalyst and fluid phases and the heat and mass transfer between phases are treated explicitly. Although the... 

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