Collision frequencies of fractal bacterial aggregates with small particles in a sheared fluid

Teresa Serra, Bruce Ernest Logan

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

Bacteria were aggregated in a paddle mixer, producing highly amorphous aggregates of 3-300 μm diameter with an average fractal dimension of D = 2.52. To determine the rate that these types of biological flocs could coagulate with other particles, collision frequencies of these aggregates with small (0.49 μm diameter) fluorescent yellow green (YG) latex microspheres were measured in a paddle mixer at a mean shear rate of 17 s- 1. As the aggregate sizes (<5 μm) approached that of the small YG microspheres, measured collision rates converged to values similar to those predicted by two conventional coagulation models (rectilinear and curvilinear) developed for collisions between spherical particles. Collision frequencies between larger bacterial aggregates (L(a) ~100 μm) and YG microspheres were found to be as much as 2 orders of magnitude smaller than values predicted using a rectilinear coagulation model but 5 orders of magnitude higher than predicted using the curvilinear model. Similar but slightly larger collision frequencies were obtained for aggregates (D = 2.31) made from red-stained microspheres (2.93 μm diameter). These data when combined with other data for larger inorganic aggregates indicate that the collision function increases from 10-10 to 10-6 cm3 s-1 for fractal aggregates 3-1000 μm in size with small particles. These results demonstrate that fractal aggregates of particles collide much more frequently than expected based on spherical-particle coagulation models and suggest that coagulation rates in natural systems are much more rapid than predicted by coagulation models based on impermeable spheres.

Original languageEnglish (US)
Pages (from-to)2247-2251
Number of pages5
JournalEnvironmental Science and Technology
Volume33
Issue number13
DOIs
StatePublished - Jul 1 1999

Fingerprint

Fractals
collision
coagulation
Coagulation
Fluids
fluid
Microspheres
aggregate size
particle
Latex
Fractal dimension
Shear deformation
Bacteria
bacterium
rate

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Environmental Chemistry

Cite this

@article{ea5c77f921c2462e860195f2af366cfb,
title = "Collision frequencies of fractal bacterial aggregates with small particles in a sheared fluid",
abstract = "Bacteria were aggregated in a paddle mixer, producing highly amorphous aggregates of 3-300 μm diameter with an average fractal dimension of D = 2.52. To determine the rate that these types of biological flocs could coagulate with other particles, collision frequencies of these aggregates with small (0.49 μm diameter) fluorescent yellow green (YG) latex microspheres were measured in a paddle mixer at a mean shear rate of 17 s- 1. As the aggregate sizes (<5 μm) approached that of the small YG microspheres, measured collision rates converged to values similar to those predicted by two conventional coagulation models (rectilinear and curvilinear) developed for collisions between spherical particles. Collision frequencies between larger bacterial aggregates (L(a) ~100 μm) and YG microspheres were found to be as much as 2 orders of magnitude smaller than values predicted using a rectilinear coagulation model but 5 orders of magnitude higher than predicted using the curvilinear model. Similar but slightly larger collision frequencies were obtained for aggregates (D = 2.31) made from red-stained microspheres (2.93 μm diameter). These data when combined with other data for larger inorganic aggregates indicate that the collision function increases from 10-10 to 10-6 cm3 s-1 for fractal aggregates 3-1000 μm in size with small particles. These results demonstrate that fractal aggregates of particles collide much more frequently than expected based on spherical-particle coagulation models and suggest that coagulation rates in natural systems are much more rapid than predicted by coagulation models based on impermeable spheres.",
author = "Teresa Serra and Logan, {Bruce Ernest}",
year = "1999",
month = "7",
day = "1",
doi = "10.1021/es981125v",
language = "English (US)",
volume = "33",
pages = "2247--2251",
journal = "Environmental Science & Technology",
issn = "0013-936X",
publisher = "American Chemical Society",
number = "13",

}

Collision frequencies of fractal bacterial aggregates with small particles in a sheared fluid. / Serra, Teresa; Logan, Bruce Ernest.

In: Environmental Science and Technology, Vol. 33, No. 13, 01.07.1999, p. 2247-2251.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Collision frequencies of fractal bacterial aggregates with small particles in a sheared fluid

AU - Serra, Teresa

AU - Logan, Bruce Ernest

PY - 1999/7/1

Y1 - 1999/7/1

N2 - Bacteria were aggregated in a paddle mixer, producing highly amorphous aggregates of 3-300 μm diameter with an average fractal dimension of D = 2.52. To determine the rate that these types of biological flocs could coagulate with other particles, collision frequencies of these aggregates with small (0.49 μm diameter) fluorescent yellow green (YG) latex microspheres were measured in a paddle mixer at a mean shear rate of 17 s- 1. As the aggregate sizes (<5 μm) approached that of the small YG microspheres, measured collision rates converged to values similar to those predicted by two conventional coagulation models (rectilinear and curvilinear) developed for collisions between spherical particles. Collision frequencies between larger bacterial aggregates (L(a) ~100 μm) and YG microspheres were found to be as much as 2 orders of magnitude smaller than values predicted using a rectilinear coagulation model but 5 orders of magnitude higher than predicted using the curvilinear model. Similar but slightly larger collision frequencies were obtained for aggregates (D = 2.31) made from red-stained microspheres (2.93 μm diameter). These data when combined with other data for larger inorganic aggregates indicate that the collision function increases from 10-10 to 10-6 cm3 s-1 for fractal aggregates 3-1000 μm in size with small particles. These results demonstrate that fractal aggregates of particles collide much more frequently than expected based on spherical-particle coagulation models and suggest that coagulation rates in natural systems are much more rapid than predicted by coagulation models based on impermeable spheres.

AB - Bacteria were aggregated in a paddle mixer, producing highly amorphous aggregates of 3-300 μm diameter with an average fractal dimension of D = 2.52. To determine the rate that these types of biological flocs could coagulate with other particles, collision frequencies of these aggregates with small (0.49 μm diameter) fluorescent yellow green (YG) latex microspheres were measured in a paddle mixer at a mean shear rate of 17 s- 1. As the aggregate sizes (<5 μm) approached that of the small YG microspheres, measured collision rates converged to values similar to those predicted by two conventional coagulation models (rectilinear and curvilinear) developed for collisions between spherical particles. Collision frequencies between larger bacterial aggregates (L(a) ~100 μm) and YG microspheres were found to be as much as 2 orders of magnitude smaller than values predicted using a rectilinear coagulation model but 5 orders of magnitude higher than predicted using the curvilinear model. Similar but slightly larger collision frequencies were obtained for aggregates (D = 2.31) made from red-stained microspheres (2.93 μm diameter). These data when combined with other data for larger inorganic aggregates indicate that the collision function increases from 10-10 to 10-6 cm3 s-1 for fractal aggregates 3-1000 μm in size with small particles. These results demonstrate that fractal aggregates of particles collide much more frequently than expected based on spherical-particle coagulation models and suggest that coagulation rates in natural systems are much more rapid than predicted by coagulation models based on impermeable spheres.

UR - http://www.scopus.com/inward/record.url?scp=0033168001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033168001&partnerID=8YFLogxK

U2 - 10.1021/es981125v

DO - 10.1021/es981125v

M3 - Article

VL - 33

SP - 2247

EP - 2251

JO - Environmental Science & Technology

JF - Environmental Science & Technology

SN - 0013-936X

IS - 13

ER -