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Prediction of Conversion with an Isothermal Axially-Dispersed Plug Flow Reactor
Author

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Revision date

2004-11-08
Description

Analytical solution for the conversion of an isothermal axially dispersed plug flow reactor accomplishing a first order reaction is obtained. Only numerical solution for the conversion of an isothermal axially dispersed PFR accomplishing a second order reaction can be obtained. The Danckwerts boundary conditions for the so-called "closed" configuration are used. For the second order reaction case, we use the shooting method since it is a nonlinear split-boundary-value problem. Damkohler number (Da) and Inverse Peclet number (1/Pe) must have same order of magnitude unless one gets a stiff ODE which cannot be solved easily.
Subjects

*Engineering > Chemical Engineering
*Mathematics > Calculus and Analysis > Differential Equations
*Science > Chemistry
Keywords

Plug flow reactor, axial dispersion, conversion, Damkohler and Peclet numbers, shooting method, Danckwerts boundary conditions
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dispersion_conversion.nb (52.2 KB) - Mathematica Notebook [for Mathematica 5.0]