Fluidized‐bed reactor model with generalized particle balances. Part I: Formulation and solution

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Abstract
The changes to the solid phase which occur within fluidized‐bed gas‐solid reactors may have a significant impact on the performance of this class of reactors, particularly in coal conversion applications. In this paper a particle balance model is developed which accommodates particle distributions dependent on both size and density as well as populations consisting of multiple solids. The fast double collocation method used for solving the associated PDE permits this calculation to be performed within the framework of a Davidson‐Harrison bubbling‐bed model. A modification of the iteration procedure for the emulsion‐phase state variables of the D‐H model is reported which allows the composite reactor model to be executed reliably and efficiently. A general purpose program has been implemented, whose application is presented in a companion paper.

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