Applying a fixed point theorem for a concave operator on a cone, this work presents a sufficient condition for the existence and uniqueness of a positive solution for a secondorder integral boundary value problem with switched nonlinearity. An example is worked out to illustrate the main results.
On the selectivity of heterogeneous catalysts—a boundary value problem associated with zero order reaction
✍ Scribed by K. Blackmore; P. Luckett; W.J. Thomas
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 528 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
✦ Synopsis
Wheeler's extension of Thiele's classical work on the effect of diffusion on chemical reaction in porous catalysts includes a discussion of competing reactions and catalyst selectivity.
Close examination of mathematical models in which one of the competing reactions is zero order revelas that, unless the boundary conditions are carefully defined, inadequacies would exist which may permit a physically unrealistic description of the selectivity. Appropriate extension of the usual boundary conditions, however, provides for a better physical model for reaction schemes of type II and III (Wheeler's classification) involving zero order kinetics.
📜 SIMILAR VOLUMES