# Packed Bed Reactor with Longitudinal Mixing

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Consider an isothermal packed bed reactor (PBR) in which an irreversible first-order reaction is taking place. The reaction rate is given by , where is the rate constant and is the concentration of species . The reactor's length is . Assume that pure reactant enters at with a concentration . For a closed-closed vessel, the Danckwerts boundary conditions at the two ends of the reactor are and . The turbulent flow of the fluid in the pipe is characterized by the velocity . The concentration profile in this PBR is governed by the following partial differential equation:

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Contributed by: Housam Binous, Farrukh Shehzad, Mohammad Mozahar Hossain, Abdullah A. Shaikh, and Ahmed Bellagi (January 2016)

(King Fahd University of Petroleum & Minerals, KSA; ENIM, University of Monastir, Tunisia)

Open content licensed under CC BY-NC-SA

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