Mathematical Description of Metal Retention with Water-Soluble Polymers during Membrane Filtration

Голованов, В. И.; Shkinev, V. M.; Spivakov, B. Ya.; Geckeler, Kurt E.; Bayer, Ernst

doi:10.1080/01496399308029248

Cited by 11 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Synergism. The stability of the macromolecular interaction product of the TC can be enhanced by adding a low molecular complexing agent (synergetic agent) so that triple compounds are formed in the solution: polymer−TC−low molecular agent ( − ). These compounds are more stable thermodynamically than just polymer−TC complexes.…”

Section: Polymer Bindingmentioning

confidence: 99%

Removal of Hazardous Substances from Water Using Ultrafiltration in Conjunction with Soluble Polymers

Geckeler

Volchek²

1996

Environ. Sci. Technol.

218

108

View full text Add to dashboard Cite

The applications of separation techniques using ultrafiltration in connection with functional soluble polymers for the removal of environmentally relevant and toxic substances from waters are reviewed. The types of interactions of the soluble polymers with low molecular mass compounds, the criteria for selecting the appropriate polymeric agents, and the binding conditions are discussed. Several factors influencing the separation of the target substances such as membrane type, solution composition, synergism, polymer adsorption, deformation of macromolecules, and hydrodynamics are evaluated and highlighted. Chemical, electrochemical, and thermal regeneration aspects are also covered. Finally, an overview on varius preparative and analytical application examples is presented.

show abstract

Section: Polymer Bindingmentioning

confidence: 99%

Removal of Hazardous Substances from Water Using Ultrafiltration in Conjunction with Soluble Polymers

Geckeler

Volchek²

1996

Environ. Sci. Technol.

218

108

View full text Add to dashboard Cite

show abstract

“…The retention of arsenic, however, depended on the concentration and type of anion present in solution. Golovanov et al ( 1993) mathematically described meltal retention with water-soluble polymers during membrane filtration. The metal retention data obtained experimentally could be explained using the models based on the theory of kinetics of reactions in partially open systems.…”

Section: Chemical and Physical Treatmentmentioning

confidence: 99%

Hazardous waste treatment technologies

Kim¹,

Gee²

1994

Water Environment Research

View full text Add to dashboard Cite

“…A theoretical approach to the description of metal retention and enrichment in aqueous solution using soluble polymeric reagents during liquid‐phase polymer‐based retention has been proposed by various authors 32–36. In some cases, the metal retention data obtained experimentally can be explained using mathematical models based on the theory of kinetics of reactions in partially open systems 32–34. In others cases, modeling of the overall system considering several experimental variables is preferred 35, 36…”

Section: Introductionmentioning

confidence: 99%

Divalent metal‐ion distribution around linear polyelectrolyte chains by continuous diafiltration: comparison of counterion condensation cell models

Palencia

Rivas

Pereira

2010

Polymer International

View full text Add to dashboard Cite

Concepts proposed in the two-state model (Manning), two-zone model (Deshkovski-Obukhov-Rubinstein) and extensions of these models based on Donnan equilibria around polyelectrolyte phases (Marinsky) were compared and discussed in terms of retention data obtained by continuous diafiltration of various linear polyelectrolyte solutions that were in contact with copper and cadmium salt solutions at pH = 6.0. Concentration and retention profiles were investigated and the metal-ion retention values of the polymers (R p ) were compared with the respective values calculated using the theoretical assumptions of the models. An adequate connection was not observed between the two-state model and diafiltration experiments when a null interaction between states 1 and 2 was assumed. If a Donnan equilibrium between states 1 and 2 was assumed, the metal-ion fraction in state 1 was smaller than the R p values obtained from the retention profiles for all systems. In contrast, a good correspondence between R p values and the two-zone model combined with Donnan's equilibrium was obtained by adding the weakly bound fraction of counterions around the polyelectrolyte chains.

show abstract

Mathematical Description of Metal Retention with Water-Soluble Polymers during Membrane Filtration

Cited by 11 publications

References 5 publications

Removal of Hazardous Substances from Water Using Ultrafiltration in Conjunction with Soluble Polymers

Removal of Hazardous Substances from Water Using Ultrafiltration in Conjunction with Soluble Polymers

Hazardous waste treatment technologies

Divalent metal‐ion distribution around linear polyelectrolyte chains by continuous diafiltration: comparison of counterion condensation cell models

Contact Info

Product

Resources

About