1989
DOI: 10.1002/bit.260330205
|View full text |Cite
|
Sign up to set email alerts
|

Simplified models for packed‐bed biofilm reactors

Abstract: For a packed-bed biofilm reactor two reactor models are proposed. One model is for the limiting case of a biofilm with a constant biofilm thickness in which diffusion within the biofilm is shown to be negligible. The second model assumes that the thickness of the biofilm is limited by the concentration of substrate within the biofilm. The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equations.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1

Citation Types

0
4
0

Year Published

1990
1990
2000
2000

Publication Types

Select...
6

Relationship

1
5

Authors

Journals

citations
Cited by 14 publications
(4 citation statements)
references
References 14 publications
0
4
0
Order By: Relevance
“…Based on these studies, differences in substrate utilization kinetics of free and attached bacteria seem to be system and organism dependent. Although mathematical models to evaluate steady-state biofilm kinetics have been documented (Harremoës, 1978;LaMotta, 1976;Rittmann and McCarty, 1980;Skowlund, 1990;Skowlund and Kirmse, 1989), very few studies on biofilm-mediated degradation kinetics of VOCs exist. Arcangeli and Arvin (1992) studied the biodegradation of toluene (sole carbon and energy source) by biofilm cells.…”
Section: Introductionmentioning
confidence: 99%
“…Based on these studies, differences in substrate utilization kinetics of free and attached bacteria seem to be system and organism dependent. Although mathematical models to evaluate steady-state biofilm kinetics have been documented (Harremoës, 1978;LaMotta, 1976;Rittmann and McCarty, 1980;Skowlund, 1990;Skowlund and Kirmse, 1989), very few studies on biofilm-mediated degradation kinetics of VOCs exist. Arcangeli and Arvin (1992) studied the biodegradation of toluene (sole carbon and energy source) by biofilm cells.…”
Section: Introductionmentioning
confidence: 99%
“…The Monod kinetic term, S/K S + S, represents the substrate limitation of a single substrate, S. Mass transfer limitations inside the biofilm result in decreasing microbial activity with increasing biofilm depth (Grasmick et al, 1979). It has been reported that the active biofilm length is on the order of 100 m (Harris and Hansford, 1976;Skowlund and Kirmse, 1989). The last term, B/K B + B, represents these diffusional limitations on the biomass growth and was used instead of complex calculation of an effectiveness factor.…”
Section: Model Equationsmentioning
confidence: 99%
“…Numerical continuation methods6 were used to vary the parameters a, p, and y so as to match the numerical solution to the experimental biomass data. Because the experimental data gives a volume average biomass density for each of the inner, middle, and outer portions of the pellet, continuous biomass density functions determined from the solutions to (15) through (19) were also volume averaged.…”
mentioning
confidence: 99%