A unified treatment of the inlet boundary condition for dispersive flow models

✍ Scribed by Cha Y. Choi; D.D. Perlmutter

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 217 KB
• Volume: 31
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(76)85067-1

✦ Synopsis

The justification of boundary conditions for a tubular reactor requires some particular care in the case where the reactor model includes a dispersion term to account for axial mixing: $ Llg -u+o. ( ) Following the pioneer work of Danckwertz[l], the boundary condition at the inlet position was examined by Pearson[2], Bischoff[3], Wehner and Wilhelm[rl], and Kershenbaum and Perkins [S]. The consensus is that a proper condition at y = 0 is: dC -%=I@,-C); y=o+.

(2)

However, as detailed in Table 1, the underlying assumptions that lead to this result are quite varied and appear in some aspects to be inconsistent. In their recent review of the subject Karantb and Hughes [6] conclude that "a completely satisfactory