Nonlinear Tubular Reactor with Dispersion Quasilinearization Solution

6 NONLINEAR TUBULAR REACTOR WITH DISPERSION QUASILINEARIZATION SOLUTION 

Consider a second-order chemical reaction 2A B taking place in a tubular reactor in which there is axial mixing. A material balance on the reactor gives 

Due to the Danckwerts boundary conditions, we anticipate stability via backward integration. We therefore introduce a new length variable z — 1 — A. The differential equation and boundary conditions now become 

Linearizing the differential equation about an assumed solution C gives 

We now place equation (7.6.7) in state-variable form by introducing a new variable 

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Figure 7.12 Quasilinear Solution Sequence for Nonlinear Tubular Reactor with Dispersion.

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