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Quasilinear Solution Sequence for Nonlinear Tubular Reactor with Dispersion

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
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A second order chemical reaction is occuring in a tubular reactor with axial dispersion. The governing equation can be found in the excellent book by W. F. Ramirez, Computational Methods for Process Simulation, Second Edition, 1997, Butterworth Heinemann, Oxford. The boundary conditions are the Danckwert boundary conditions, which make the problem a split boundary condition problem. Attempting to solve such system with NDSolve fails because the problem is a nonlinear ODE (due to second order reaction) with split boundary conditions. Linearizing the ODE about an assumed solution and performing a sequence of four iterations gives the convergent solution of this problem.

*Applied Mathematics
*Engineering > Chemical Engineering
*Science > Chemistry

Quasilinear solution sequence, nonlinear tubular reactor with dispersion, Danckwert boundary condition, second order chemical reaction, NDSolve, split boundary conditions
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ramirez328.nb (31.5 KB) - Mathematica Notebook [for Mathematica 5.2]