Numerical solution of stiff boundary valued problems in kinetics and diffusion

✍ Scribed by J.O.L. Wendt; C.H. Martinez; D.G. Lilley; T.L. Corley

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 810 KB
• Volume: 34
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(79)85098-8

✦ Synopsis

Two new numerical methods for the solution of stiff boundary valued or&nary differential equations are presented and compared The specific problem solved IS that of diffusion and reaction m a char pore, where eight species diffuse and react through ten free radical combustion reactions A new vanable mesh finite difference algonthm IS presented, and it IS shown how existing techniques for treating stiff mmal value problems can be adapted for the boundary valued case The numerical techniques presented have general application m problems mvolvmg dlffuslon and stiff chemical reactions, such as occur m combustion, gasdication, and reactor design MTRODUCTION tPresent address Department of Mechanical Engmeenng,