The kinetics of heteroflocculation in the system cationic starch and colloidal anionic silicic acid

Wall, Staffan; Samuelsson, Peter; Degerman, Göran; Skoglund, Per; Samuelsson, Ann

doi:10.1016/0021-9797(92)90249-l

Cited by 25 publications

(16 citation statements)

References 10 publications

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“…[12], [13], ual particles to become smaller. Thus, the coagulating aeroand [14] reduce, respectively, to It is believed that the results given in this work represent the first analytic solution to the low Knudsen number regime Brownian coagulation problem. The early indication is that the current model appears to provide a very useful tool for interpreting and understanding various aspects of the coagulation problem.…”

Section: Discussionmentioning

confidence: 86%

“…Further, certain additional approximations were necessary to In this section, Eqs. [12], [13], and [14], which represent make the solution possible. To check the adequacy of the the solution to Eq.…”

Section: Discussionmentioning

confidence: 99%

“…(1 / (b/a))(N/N 0 ) [12], [13], and [14], respectively, which constitute the solution the number decay ( N / N 0 ) and the dimensionless time ( KN 0 t ) .…”

Section: Discussionmentioning

confidence: 99%

“…[14]. The Knudsen number effects are again shown to be substantial particularly for an aerosol having a large initial s 0 value.…”

Section: Theoretical Analysesmentioning

confidence: 93%

“…By employing one can readily compute the geometric standard deviation suitable theoretical analyses and simplifications, we have (s) and the geometric mean particle volume (£ g ) using Eqs. obtained the following solutions that provide the three size [13] and [14], respectively, for the coagulating time obparameters, N, s, and £ g . The detailed procedures for the tained above.…”

Section: Theoretical Analysesmentioning

confidence: 99%

See 4 more Smart Citations

The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime

Lee

Han

1997

Journal of Colloid and Interface Science

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Section: Discussionmentioning

confidence: 86%

Section: Discussionmentioning

confidence: 99%

“…(1 / (b/a))(N/N 0 ) [12], [13], and [14], respectively, which constitute the solution the number decay ( N / N 0 ) and the dimensionless time ( KN 0 t ) .…”

Section: Discussionmentioning

confidence: 99%

“…[14]. The Knudsen number effects are again shown to be substantial particularly for an aerosol having a large initial s 0 value.…”

Section: Theoretical Analysesmentioning

confidence: 93%

Section: Theoretical Analysesmentioning

confidence: 99%

See 3 more Smart Citations

The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime

Lee

Han

1997

Journal of Colloid and Interface Science

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Preparation and retention of poly(ethylene oxide)‐grafted cationic polyacrylamide microparticles

Peng

Shen

Xiao

2006

J of Applied Polymer Sci

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Novel microparticles of poly(ethylene oxide) (PEO)-grafted cationic polyacrylamide were prepared through the free-radical tetrapolymerization of acrylamide, acryloyloxyethyl trimethylammonium chloride (DAC), PEO macromonomer, and N,NЈ-methylene bisacrylamide in an inverse microemulsion. The effects of the DAC content and the PEO chain length and content on the diameter and distribution of the microparticles were studied. Highly effective retention aids were obtained in retention experiments with fibers.

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Characterization of highly substituted, cationic amphiphilic starch derivatives: Dynamic surface tension and intrinsic viscosity

et al. 2013

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The surface activity and viscometric behavior of highly substituted, amphiphilic polysaccharides, derived from potato starch by modification with benzyl‐ and hydroxypropyl‐trimethylammonium groups, are studied in salt‐free and 0.05 M NaCl aqueous solution. For the first time dynamic surface tension measurements of amphiphilic starch derivatives have been effected using the pendant drop method and it was possible to correlate them with particle sizes and apparent charge density. Rheological investigation of large concentration ranges (0.01–20 g/L) is used to discuss Huggins plots and typical polyelectrolyte (PEL) behavior for all starch derivative samples could be found. The determination of overlap concentration and, in dilute aqueous solution, of intrinsic viscosity was possible. For the latter one the semi‐empirical equation of Rao was used, making it possible to get insights to PEL conformation in dependence on the degrees of substitution (DS) of both substituents. It is shown that for intrinsic viscosity an inversion of the impact of both substituents takes place, with hydrophobic benzyl groups on the one hand and cationic hydroxypropyl‐trimethylammonium groups on the other. Data evaluation via the ratio of both DS values had been successfully utilized and thus, the applied method has been identified as being a promising tool to compare a multitude of starch derivatives with substituents of different polarity in various DS to get tendencies regarding overall hydrophobicity.

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The kinetics of heteroflocculation in the system cationic starch and colloidal anionic silicic acid

Cited by 25 publications

References 10 publications

The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime

The Log-Normal Size Distribution Theory for Brownian Coagulation in the Low Knudsen Number Regime

Preparation and retention of poly(ethylene oxide)‐grafted cationic polyacrylamide microparticles

Characterization of highly substituted, cationic amphiphilic starch derivatives: Dynamic surface tension and intrinsic viscosity

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