Uniqueness criteria for lumped and distributed parameter chemically reacting systems
โ Scribed by Dan Luss
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 592 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
โฆ Synopsis
New criteria are presented for the a priori prediction of the conditions under which a unique steady state solution exists for chemically reacting systems. The method enables the determination of the necessary and sufficient conditions for uniqueness of lumped systems and sufficient conditions for uniqueness of distributed parameter systems. The criteria point out certain inherent pitfalls of any lumping procedure. The agreement between the bounds obtained for the distributed systems and exact numerical solutions is very satisfactory.
A*y + &f(y) = 0
(3)
๐ SIMILAR VOLUMES
CL 5r 2De. ,-' . 4-: ' 2l-4 8 10 12 14 16 F@ 3 Effective drffuslvity data for a typical catalyst support measured at 13 25 cm/s carrier gas velocity The curves labeled 20, and De/2 show the sensltrvlty of the technique Solid curve = expenmental data Dotted curves = model slmulatlons This difference
For a chemical reaction occurring in a distributed parameter system in the presence of heat and mass diffusion, multiple steady state solutions may exist. Various numerical studies have shown that above a given size uniqueness is assured. This work is concerned with obtaining an a priori upper bound
A sufficient condition for stability of a class of distributed-parameter systems is derived by use of Liapunov's direct method. This condition is not only sufficient but necessary for a restricted class of systems in which the accessory boundary value problem is self-adjoint. Two applications are gi