A model of fluid-biofilm interaction using a Burger material law

Biotechnology and Bioengineering

Volumn 96, Issue 2, 2007, Pages 259-271

  Towler, Brett W ^a   Cunningham, Al ^b   Stoodley, Paul ^c   McKittrick, Ladean ^a  

^a Montana State University   (United States)

^b MONTANA STATE UNIVERSITY   (United States)

^c ALLEGHENY SINGER RESEARCH INSTITUTE   (United States)

Author keywords

Biofilm; Biofouling; Burger; Hydraulic; Mechanics; Viscoelastic

Indexed keywords

BIOFILMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FOULING; HYDRAULICS; NUMERICAL ANALYSIS; TURBULENT FLOW; VISCOELASTICITY;

BIOFOULING; BURGER RELAXATION; INTERFACIAL BIOFILMS;

MATHEMATICAL MODELS;

ARTICLE; BIOFILM; FLOW MEASUREMENT; HYDRODYNAMICS; MATHEMATICAL MODEL; RELAXATION TIME; SIMULATION; VELOCITY;

BIOFILMS; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; RHEOLOGY; VISCOSITY;

EID: 33846902541     PISSN: 00063592     EISSN: 10970290     Source Type: Journal    
DOI: 10.1002/bit.21098     Document Type: Article

References (34)

1. ANSYS. 2003. ANSYS theory Reference manual. Canonsburg, PA: ANSYS, Inc.
2. Bryers J, Characklis WG. 1981. Early fouling biofilm formation in a turbulent flow system: Overall kinetics. Water Res 15:483-491.
3. Callister WD. 1985. Materials Science and Engineering. New York, NY: John Wiley & Sons, Inc.
4. Characklis WG. 1979. Biofilm development and destruction, Final Report, EPRI CS-1554, Project RP902-1. Electric Power Research Institute, Palo Alto, CA, 1980.
5. Characklis WG. 1990. Microbial fouling. In: Characklis WG, Marshall KC, editors. Biofilms. New York, NY: John Wiley & Sons, Inc.
6. Currie IG. 1974. Fundamental mechanics of fluids. New York, NY: McGraw-Hill, Inc.
7. Debler WR. 1990. Fluid mechanics fundamentals. Englewood Cliffs, NJ: Prentice Hall.
8. Dockery J, Klapper I. 2001. Finger formation in biofilm layers. SIAM J Appl Math 62:853-869.
9. Findley WN, Lai JS, Onaran K. 1989. Creep and relaxation of nonlinear viscoelastic materials. Minneola, NY: Dover Publishing.
10. Flemming HC, Wingender J, Mayer C, Korstgens V, Borchard W. 2002. Cohesiveness in biofilm matrix polymers. SGM symposium 59.
11. Geesey G, Bryers J. 2000. Biofouling of engineered materials and systems. In: Bryers J, editor. Biofilms II: Process analysis and applications. New York: Wiley-Liss, Inc.
12. Giles RV, Evett JB, Liu C. 1956. Schaum's Outline of Theory and Problems of Fluid Mechanics and Hydraulics. New York, NY: McGraw-Hill, Inc.
13. Gjaltema A, Arts PAM, van Loosdrecht MCM, Kuenen JG, Heijnen JJ. 1994. Heterogeneity of biofilms in rotating annular reactors: Occurrence, structure and consequences. Biotechnol Bioeng 44:194-204.
14. Gujer W, Wanner O. 1990. Modeling mixed population biofilms. In: Characklis WG, Marshall KC, editors. Biofilms. New York, NY: John Wiley & Sons, Inc.
15. Hermanowicz WS. 1998. Two-dimensional simulations of biofilm development: Effects of external environmental conditions. In Conference proceedings, international specialty conference. Microbial ecology of biofilms: Concepts, tools and applications. Ed. Rittmann BE, Bishop P, Bouwer E, Cunningham A. Lake Bluff, IL.
16. Janna WS. 1993. Introduction to fluid mechanics, 3rd edition. Boston, MA: PWS Publishing Co.
17. Klapper I, Rupp CJ, Cargo R, Purevdorj B, Stoodley P. 2002. A viscoelastic fluid description of bacterial biofilm material properties. Biotechnol Bioeng 80:289-296.
18. Korstgens V, Flemming HC, Wingender J, Borchard W. 2001. Influence of calcium ions on the mechanical properties of a model biofilm of mucoid Pseudomonas aeruginosa. Water Sci Technol 43 49-57.
19. Mase GT, Mase GE. 1999. Continuum mechanics for engineers, 2nd edition. Boca Raton, FL: CRC Press LLC.
20. McCoy WF, Costerton JW. 1982. Fouling biofilm development in tubular flow systems. Dev Indus Microbiol 23:551-558.
21. Ohashi A, Harada H. 1994. Adhesion strength of biofilm developed in an attached-growth reactor. Wat Sci Tech 29:10-11, 281-288.
22. Patankar SV. 1980. Numerical heat transfer and fluid flow. Amsterdam: John Benjamins Publishing Co.
23. Picioreanu C, van Loosdretch MC, Heijnen JJ. 2001. Two-dimensional model of biofilm detachment caused by internal stress from liquid flow. Biotechnol Bioeng 72:205-218.
24. Picologlou BF, Zelver N, Characklis WG. 1980. Biofilm Growth and Hydraulic Performance. J Hydraul Div Am Soc Civ Eng 106(HY5):733-746.
25. Rouse H. 1946. Elementary mechanics of fluids. New York, NY: John Wiley & Sons, Inc.; London, UK: Chapman & Hall, Limited.
26. Shackelford JF. 1985. Introduction to material science for engineers. New York, NY: Macmillan Publishing Company.
27. Stoodley P, Boyle JD, Dodds I, Lappin-Scott HM. 1997. Consensus model of biofilm structure. In: Wimpenny JWT, Handley PS, Gilbert P, Lappin-Scott HM, Jones M, editors. Biofilms: Community Interactions and Control. Cardiff: BioLine.
28. Stoodley P, Lewandowski Z, Boyle JD, Lappin-Scott HM. 1998. Oscillation characteristics of biofilm streamers in turbulent flowing water as related to drag and pressure drop. Biotechnol Bioeng 57:536-544.
29. Stoodley P, Lewandowski Z, Boyle JD, Lappin-Scott HM. 1999a. The formation of migratory ripple in a mixed species bacterial biofilm growing in turbulent flow. Environ Microbiol 1(5):447-455.
30. Stoodley P, Lewandowski Z, Boyle JD, Lappin-Scott HM. 1999b. Structural deformation of bacterial biofilms caused by short term fluctuations in flow velocity: An in-situ demonstration of biofilm viscoelasticity. Biotechnol Bioeng 65:83-92.
31. Stoodley P, Cargo R, Rupp CJ, Wilson S, Klapper I. 2002. Biofilm Material Properties as related to shear-induced deformation and detachment phenomena. J Ind Microb And Biotech 29:361-367.
32. Towler BW, Rupp CJ, Cunningham AB, Stoodley P. 2003. Viscoelastic Properties of a Mixed Culture Biofilm from Rheometer Creep Analysis. Biofouling 19:279-285.
33. Vennard JK. 1940. Elementary fluid mechanics. New York, NY: John Wiley & Sons, Inc.
34. Zelver N. 1979. Biofilm development and associated energy losses in water conduits. M.S. Thesis. Rice University. Houston, TX.