Reply to Comments on “A Debye−Hückel Model for Calculating the Viscosity of Binary Strong Electrolyte Solutions”

Esteves, Manoel J. C.; Cardoso, Marcio J. E. De M.; Barcia, Oswaldo E.

doi:10.1021/ie020290n

Cited by 1 publication

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“…The Newtonian-type flow can be obtained by taking the argument of the hyperbolic sine function (τ yx /2 RTc ) much less than 1, and therefore, one obtains the following equation, where N is Avogadro's number. It is interesting to remark that an analogous expression was obtained by Esteves et al − for calculating the viscosities of electrolyte solutions.…”

supporting

confidence: 53%

“…It is interesting to remark that an analogous expression was obtained by Esteves et al − for calculating the viscosities of electrolyte solutions.…”

supporting

confidence: 53%

“…For a polymer solution, it is possible to define, analogously to that previously proposed by Esteves et al . − for an electrolyte solution, where η and η 1 are, respectively, the solution and the pure-solvent dynamic viscosities and η π is the solute contribution to the solution dynamic viscosity by considering the solvent as a continuous medium.…”

Section: Model For Calculating the Viscosity Of Polymer Solutionsmentioning

confidence: 99%

“…The basic assumption of the present model is to consider that the free energy of activation (per mole of solute), for the flow process, is the same as the thermodynamic (i.e., equilibrium) free energy (per mole of solute) of the solution in the osmotic equilibrium framework (ψ). − ,− …”

Section: Model For Calculating the Viscosity Of Polymer Solutionsmentioning

confidence: 99%

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Model for Calculating the Viscosity of Non-Newtonian Aqueous Solutions of Poly(ethylene glycol) 6000 at 313.15 K and 0.1 MPa

Cruz

Martins

Esteves

et al. 2005

Ind. Eng. Chem. Res.

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In this work, a model for calculating the dynamic viscosity of polymer solutions was developed. The model is based on the Eyring absolute rate theory and on the solution theory of McMillan-Mayer. An equation of state is used for the calculation of the solution osmotic pressure and, thus, the excess molar McMillanMayer free energy. The final expression shows an explicit dependence between the viscosity of the polymer solution and the applied shear stress. The proposed model contains three terms. The first term describes the viscosity of an ideal polymer solution. The second term takes into account non-Newtonian behavior of the polymer solution. Finally, the third term represents the deviation from the thermodynamic ideal behavior. The whole model presented five adjustable parameters, with two of them also considered as being a function of the applied shear stress. To test the proposed model, we have measured experimental rheological data for poly(ethylene glycol) aqueous solutions (nominal molecular weight 6000 g/mol) for nine different polymer concentrations, at different shear rates, at 313.15 K and 0.1 MPa. The proposed model has been used for correlating the experimental viscosity data of these polymer solutions at different values of the applied shear stress and polymer concentration. It has been found that the agreement between the experimental and calculated values is within the experimental error.

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supporting

confidence: 53%

“…It is interesting to remark that an analogous expression was obtained by Esteves et al − for calculating the viscosities of electrolyte solutions.…”

supporting

confidence: 53%