Solutions of problems in chemical flow reactors by perturbation methods

✍ Scribed by Raffi M. Turian

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 828 KB
• Volume: 28
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(73)85046-8

✦ Synopsis

Formal approximate solutions, for small E,, for the system E&'-A'-hiG(firf2 ,..., fN)=O;eiJ'(0)=fi(O)-l;J'(l)=O (i=1,2 ,..., N) where G is a general function of the N-dependent variables& are obtained by the method of matched asymptotic expansions. Uniformly valid approximations are composed for the region 0 < x < 1 by synthesizing expansions pertaining to three separate regions; near x = 0, near x = 1, and the jntermediate region in between. Restrictions on the approximations are developed, and these can be. used to evaluate the effects of the magnitudes of the hi, of the behavior of G, and of possible disparities in the values of the various parameters E,. The results obtained are of considerable practical value because they are readily applicable to actual situations, as demonstrated by a number of specitic examples, and because it is possible to evaluate how good the approximation is in each individual case.