Novel Stokesian Metrics that Quantify Collision Efficiency, Floc Strength, and Discrete Settling Behavior

Abstract Coagulation kinetics and floc properties are of great fundamental and practical importance in the field of water treatment. To investigate the performance of Fe(VI) and Fe(III) salt on particle coagulation, Malvern Mastersizer 2000 was employed to continuously and simultaneously monitor the kaolin floc size and structure change, and population balance modeling was used to investigate the coagulation mechanism. The results show dosage increase had positive effect on collision efficiency and floc strength and negative effect on restructure rate. Low shear rate resulted in higher collision efficiency and stronger floc. Low water temperature had a pronounced detrimental effect on coagulation kinetics. Temperature increase showed the most significant positive effect on collision efficiency, floc strength and restructure rate. The optimum pH zone for the coagulation was found to be between 6 and 8. Further pH increase lowered the collision efficiency and floc strength and increased the restructure rate. FeCl3 resulted in a larger ratio of the mass to volume of kaolin flocs (compactness) than those induced by ferrate.

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Flocculation and floc strength in suspensions A flocculated by retention aids

Nordic Pulp & Paper Research Journal ◽

10.3183/npprj-1993-08-01-p141-147 ◽

1993 ◽

Vol 8 (1) ◽

pp. 141-147 ◽

Cited By ~ 13

Author(s):

Agne Swerin ◽

Lars Ödberg

Keyword(s):

Retention Aids ◽

Floc Strength

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Numerical investigations into the effect of turbulence on collision efficiency in flotation

Minerals Engineering ◽

10.1016/j.mineng.2020.106744 ◽

2021 ◽

Vol 163 ◽

pp. 106744

Author(s):

S. Li ◽

M.P. Schwarz ◽

Y. Feng ◽

P. Witt ◽

C. Sun

Keyword(s):

Collision Efficiency ◽

Numerical Investigations

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Effect of Turbulent Fluctuation on Settling Behavior of Dredged Slurry in Sheared Condition

KSCE Journal of Civil Engineering ◽

10.1007/s12205-021-1136-0 ◽

2021 ◽

Author(s):

Miao-miao Song ◽

Gui-zhong Xu ◽

Jie Yin ◽

Wei-juan Geng ◽

Zhi-yan Zhou ◽

...

Keyword(s):

Turbulent Fluctuation ◽

Settling Behavior

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Effect of negative inertial forces on bubble-particle collision via implementation of Schulze collision efficiency in general flotation rate constant equation

Colloids and Surfaces A Physicochemical and Engineering Aspects ◽

10.1016/j.colsurfa.2017.01.002 ◽

2017 ◽

Vol 517 ◽

pp. 72-83 ◽

Cited By ~ 19

Author(s):

Sabri Kouachi ◽

Behzad Vaziri Hassas ◽

Ahmad Hassanzadeh ◽

Mehmet Sabri Çelik ◽

Mustapha Bouhenguel

Keyword(s):

Rate Constant ◽

Particle Collision ◽

Inertial Forces ◽

Collision Efficiency ◽

Flotation Rate

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Measurements of cell adhesion

Development ◽

10.1242/dev.30.2.499 ◽

1973 ◽

Vol 30 (2) ◽

pp. 499-509

Author(s):

Janet E. Hornby

Keyword(s):

Cell Types ◽

Random Motion ◽

Chick Embryos ◽

Collision Efficiency ◽

20 Nm ◽

Kidney Liver ◽

Different Cell Types ◽

Laminar Shear ◽

Lyophobic Sols

Cell suspensions were prepared from the kidney, liver and heart of chick embryos of 5 or 8 days of incubation, and from the limb-buds of chick embryos of 5, 6, 7, 8 or 9 days of incubation. When these suspensions were aggregated under laminar shear in a Couette viscometer or random motion in a reciprocating shaker they obeyed the theoretical relationships derived for flocculating lyophobic sols. The values of the collision efficiency found for the different cell types under given conditions were used to calculate the force of interaction between cells of each type. The force of interaction ranged between 9 × 10−11 N (8-day heart) and 3 × 10−9 N (8-day liver). The forces of interaction between cells appear to be responsible for aligning the membranes of adjacent cells with a 10–20 nm gap. It is possible to arrange the cell types in a hierarchy based on the forces of interaction between them. The possible role of these forces in cell specificity is considered.

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Analytical solution of settling behavior of a particle in incompressible Newtonian fluid by using Parameterized Perturbation Method

Boletim da Sociedade Paranaense de Matemática ◽

10.5269/bspm.v33i2.22833 ◽

2014 ◽

Vol 33 (2) ◽

pp. 145-160

Author(s):

Reza Mohammadyari ◽

Mazaher Rahimi Esboee ◽

Majid Rahgoshay

Keyword(s):

Perturbation Method ◽

Newtonian Fluid ◽

Mass Term ◽

Reynolds Numbers ◽

Added Mass ◽

Unsteady Motion ◽

High Rate ◽

Settling Behavior ◽

Analytical Expressions ◽

Parameterized Perturbation Method

The problem of solid particle settling is a well known problem in mechanic of fluids. The parametrized Perturbation Method is applied to analytically solve the unsteady motion of a spherical particle falling in a Newtonian fluid using the drag of the form given by Oseen/Ferreira, for a range of Reynolds numbers. Particle equation of motion involved added mass term and ignored the Basset term. By using this new kind of perturbation method called parameterized perturbation method (PPM), analytical expressions for the instantaneous velocity, acceleration and position of the particle were derived. The presented results show the effectiveness of PPM and high rate of convergency of the method to achieve acceptable answers.

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