Abstract
This paper is a follow-up of an earlier one (Arce and Ramkrishna, 1986, Chem. Engng Sci. 41, 1539) on an operator-theoretic analysis of interaction between a fluid and a bed of particles by exchanging heat or mass. In this paper we account for internal gradients within individual particles. The analysis reveals several interesting mathematical properties not characteristic of Sturm-Liouville systems (which describe transport in single phase media) with strong implications for the physics of interaction between the two phases. Limiting cases have been studied using the properties of the operator. Regions are identified in the multi-dimensional parameter space in which various model simplifications are possible.
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