Rheology of Sulfonated Polystyrene Solutions

Boris, David C.; Colby, Ralph H.

doi:10.1021/ma971884i

Cited by 195 publications

(374 citation statements)

References 31 publications

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“…However, at the length scales smaller than the solution correlation length the strong electrostatic coupling between sections of the chain still persists and determines the characteristic relaxation time of these chain's sections. This dependence of the chain relaxation time is in a good qualitatively agreement with the experimental data by Colby's group 14,15,21,23 on the variety of the polyelectrolyte systems and is the main reason behind the famous Fuoss law for the concentration dependence of the polyelectrolyte solution viscosity.…”

Section: Discussionsupporting

confidence: 88%

Rouse Dynamics of Polyelectrolyte Solutions: Molecular Dynamics Study

et al. 2007

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We performed molecular dynamics simulations of dilute and semidilute polyelectrolyte solutions without hydrodynamic interactions to study Rouse dynamics of polyelectrolytes. Polyelectrolyte solutions are modeled by an ensemble of bead-spring chains of charged Lennard-Jones particles with explicit counterions. The simulations were performed for partially and fully charged polymers with the number of monomers N ) 25-373. We show that the simulations of the Rouse dynamics give qualitatively similar results to the experimentally observed dynamics of polyelectrolyte solutions. Our simulations showed that the chain relaxation time depends nonmonotonically on polymer concentration. In dilute solutions, this relaxation time exhibits very strong dependence on the chain degree of polymerization, τ ∼ N 3 . The chain relaxation time decreases with increasing polymer concentration of dilute solutions. This decrease in the chain relaxation time is due to chain contraction induced by counterion condensation. In the semidilute solution regime the chain relaxation time decreases with polymer concentration as c -1/2 . In this concentration range the chain relaxation time follows the usual Rouse scaling dependence on the chain degree of polymerization, τ ∼ N 2 . At high polymer concentrations the chain relaxation time begins to increase with increasing polymer concentration. The crossover polymer concentration to the new scaling regime does not depend on the chain degree of polymerization, indicating that the increase in the chain relaxation time is due to the increase of the effective monomeric friction coefficient. The analysis of the spectrum and of the relaxation times of Rouse modes confirms the existence of the single correlation length , which describes both static and dynamic properties of semidilute solutions.

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Section: Discussionsupporting

confidence: 88%

Rouse Dynamics of Polyelectrolyte Solutions: Molecular Dynamics Study

et al. 2007

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“…The values of these parameters are collected in Table 1 and c e ∝ N −0.6±0.3 is common to NaCMC, NaPSS and NaIBMA. 3,60,91 Our result for the N -dependence of η sp in the non-entangled regime lies between that observed for NaPSS and …”

Section: Salt-free Vs Salt Solutionssupporting

confidence: 81%

Viscosity and Scaling of Semiflexible Polyelectrolyte NaCMC in Aqueous Salt Solutions

et al. 2016

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We investigate the viscosity dependence on concentration and molecular weight of semiflexible polyelectrolyte sodium carboxymethylcellulose (NaCMC) in aqueous saltfree and NaCl solutions. Combining new measurements and extensive literature data, we establish relevant power laws and crossovers over a wide range of degree of polymerisation (N ), polymer (c) and salt (c s ) concentration. In salt-free solution, the overlap concentration shows the expected c * ∝ N −2 dependence, and the entanglement crossover scales as c e ∝ N −0.6±0.3 , in strong disagreement with scaling theory for which c e ∝ c * is expected, but matching the behaviour found for flexible polyelectrolytes. A second crossover, to a steep concentration dependence for specific viscosity 1 (η sp ∝ c 3.5±0.2 ), commonly assigned to the concentrated regime, is shown to follow c * * ∝ N −0.6±0.2 (with c * * /c e 6) which thus suggests instead a dynamic crossover, possibly related to entanglement. The scaling of c * and c e in 0.01M and 0.1M NaCl shows neutral polymer in good solvent behaviour, characteristic of highly screened polyelectrolyte solutions. This unified scaling picture enables the estimation of viscosity of ubiquitous NaCMC solutions as a function of N , c and c s and establishes the behaviour expected for a range of semiflexible polyelectrolyte solutions.

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“…7. It can be seen that J Surfact Deterg no cross-over points can be detected for the samples n = 16 and 18, but the curves of G 0 have plateau and G 0 wholly exceed G 00 throughout the examined frequencies, which is in accordance with the gel-like behavior [42,43]. For the samples of n = 14, the changing trend of storage modulus (G 0 ) and loss modulus (G 00 ) fits the Maxwell model and has the characteristic of wormlike micelles, i.e., elastic modulus G 0 dominating over viscous modulus G 00 at high x and viscous modulus G 00 dominating over elastic modulus G 0 at low x [40].…”

Section: Effect Of the Alkyl Chain Length Of The Surfactantsupporting

confidence: 55%

Rheological Properties of Wormlike Micelles Formed in Aqueous Systems of 3‐Alkoxy‐2‐hydroxypropyl Trimethyl Ammonium Bromides in the Presence of Sodium Octanoate

Ping

Geng

Wei

et al. 2015

J Surfact & Detergents

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The rheological properties of aqueous systems composed of each of the four homologous cationic surfactants (3-alkoxy-2-hydroxypropyl trimethyl ammonium bromides, C n HTAB, n = 12, 14, 16 and 18) in the presence of an anionic surfactant, sodium octanoate (SO), have been studied by using steady state and frequency sweep rheological measurements. The effects of surfactant concentration, hydrophobic chain length and temperature were investigated. In C 14 HTAB solution, the viscosity shows shear thinning in the concentration range of C C14HTAB [320 mmol/kg. Addition of SO promotes the micellar growth and results in the generation of wormlike micelles. Zero-shear viscosity (g 0 ) of the binary surfactant system exhibits a maximum point in the investigated concentration range, suggesting the interaction between C 14 HTAB and SO molecules is strongest at the optimal ratio of C 14 HTAB with SO. The decrease in viscosity was attributed to be the transition from entangled wormlike micelles to branching micelles after the maximum point, cryo-TEM images revealed the changes in the structure of the wormlike micelles.

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Rheology of Sulfonated Polystyrene Solutions

Cited by 195 publications

References 31 publications

Rouse Dynamics of Polyelectrolyte Solutions: Molecular Dynamics Study

Rouse Dynamics of Polyelectrolyte Solutions: Molecular Dynamics Study

Viscosity and Scaling of Semiflexible Polyelectrolyte NaCMC in Aqueous Salt Solutions

Rheological Properties of Wormlike Micelles Formed in Aqueous Systems of 3‐Alkoxy‐2‐hydroxypropyl Trimethyl Ammonium Bromides in the Presence of Sodium Octanoate

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