Discrete modeling of flow systems
Abstract
A stirred tank network model (continuous time compartment model) is summarized and then compared with the discrete flow model. Both models make use of fractional input matrix with elements representing the fraction of flow into the jth region which originates in the ith region. It is shown that the discrete flow model is more general and computationally much simpler than the stirred tank network model. The fractional input matrix is used to find the sizes of the regions, to predict the residence time distribution of the fluid in flow systems, and to compute the conversion for chemical reaction occurring in a flow system. Direct methods for finding the fractional input matrix from either steady state or transient data are developed, and methods and problems of fitting the model to data are presented.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........94C
 Keywords:

 Discrete Functions;
 Fluid Flow;
 Models;
 Chemical Reactions;
 Input;
 Networks;
 Tanks (Containers);
 Time;
 Fluid Mechanics and Heat Transfer