Boundary Value Problems

with and without Bifurcation


A distributed model is usually described by differential equations. Such a model differs from a lumped model that is generally described by transcendental equations. In chemical and biological engineering distributed systems often arise with tubular equipment. When a one-dimensional model is used for a distributed system there are two types of models:
  1. 1.

    If mixing, diffusion, and conduction are neglected, then the system is described by the so called plug flow model, expressed in terms of initial value ODEs, i.e., by initial value problems, or IVPs.

  2. 2.

    If the model accounts for the effects of axial dispersion, then the system is described by an axial dispersion model in terms of two-point boundary ODEs, i.e., by boundary value problems, or BVPs.



Peclet Number Tubular Reactor Axial Dispersion Middle Branch Porous Catalyst 
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For Chapter 5

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