A New Thiele's Modulus for the Monod Biofilm Model

方元祥; GOVIND Rakesh

doi:10.1016/S1004-9541(08)60075-0

Your Location：

Home >

Browse articles >

A New Thiele's Modulus for the Monod Biofilm Model

Updated：2026-01-06

- A New Thiele's Modulus for the Monod Biofilm Model
- Chinese Journal of Chemical Engineering Vol. 16, Issue 2, Pages: 277-286(2008)
- Affiliations：
  
  1. National Risk Management and Research Laboratory, U.S.Environmental Protection Agency, 26 W.Martin Lu-ther King Dr., 68,Cincinnati,USA,OH452
  2. Department of Chemical and Materials Engineering, University of Cincinnati,, 21,Cincinnati,USA,OH452
- Author bio：
- Funds：
- DOI：10.1016/S1004-9541(08)60075-0
  CLC：
- Published：2008
- Accepted：
Scan QR Code
FANG Yuanxiang, GOVIND Rakesh. A New Thiele's Modulus for the Monod Biofilm Model[J]. , 2008, 16(2): 277-286.
DOI：

FANG Yuanxiang, GOVIND Rakesh. A New Thiele's Modulus for the Monod Biofilm Model[J]. , 2008, 16(2): 277-286. DOI： 10.1016/S1004-9541(08)60075-0.

摘要

Abstract

A new Thiele's modulus

was developed to provide a gradual transition between zero and the first order of kinetics

and to accurately calculate the mass transfer flux and the effectiveness factor for the Monod biofilm.Values of the effectiveness factor

calculated using the new Thiele's modulus

were compared with those obtained from numerical solutions and from other published moduli and empirical formulae.The comparison indicated that the new Thiele's modulus was the best modulus for the Monod biofilm model.In addition

another Thiele's modulus

was developed for a Monod biofilm

covered with an external water layer.The overall effectiveness factor can also be calculated by using both moduli φ

and φ

.The criteria that were proposed for identification were based on the values of φ

andφ

the limiting processes for biomass growth

and substrate conversion. Developed from φ

a new parameterψwas related uniquely to such features as the depth and shallowness of the generalized substrate concentration profiles inside a Monod biofilm.Criteria were developed to identify the types of concentration distribution inside a Monod biofilm.These methods were used to estimate the substrate flux and the concentration distribution of the biofilms defined in the first benchmark problem(BM1)

by a task group of the International Water Association on Biofilm Modeling.

关键词

Keywords

references

Views

2527

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Mass transfer and kinetic behavior studies on cycloaddition of carbon dioxide with propylene oxide catalyzed by ionic liquid in microchannel reactor

The investigation of Gemini surfactant effects on CH4 and CO2 hydrates

A highly efficient La-modified ZnAl-LDO catalyst and its performance in the synthesis of dimethyl carbonate from methyl carbamate and methanol

Kinetic study for the oxidation of cyclohexanol and cyclohexanone with nitric acid to adipic acid

Ionic liquid catalyzed solvent-free synthesis of chalcone and its derivatives under mild conditions

Related Author

Li Chunshan

Xiang Shuguang

Wang Lili

Yan Hanwen

Wang Gang

Chen Yu

Yang Yiqian

Qiang Sun

Related Institution

State Key Laboratory of Mesoscience and Engineering, CAS Key Laboratory of Green Process and Engineering, Beijing Key Laboratory of Solid-State Battery and Energy Storage Process, Institute of Process Engineering, Chinese Academy of Sciences

Institute of Process Systems Engineering, College of Chemical Engineering, Qingdao University of Science and Technology

State Key Laboratory of Heavy Oil Processing, China University of Petroleum (Beijing)

China Oilfield Services Limited

College of Chemical Engineering, Xiangtan University

⁰