Finite-difference methods for computing the turning point of ignition in a tubular reactor operated adiabatically
✍ Scribed by U.S. Herges; E.H. Twizell
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 998 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
A system of partial differential equations (PDEs) is derived to compute the point of ignition (with respect to the Damklihler number) in an adiabatically-operated tubular reactor in which a first-order, exothermic and irreversible A + f3 reaction takes place. The temperature-dependent rate constant is assumed to obey the Arrhenius Law. A family of numerical methods using finite-difference approximations is developed to integrate the system of PDEs. The numerical schemes are analysed for stability by a linearized von Neumann method. 'Ikro numerical methods are selected to compute solutions: the explicit Euler Method in conjunction with global extrapolation and a novel semi-explicit computation scheme.