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:
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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