On a classification scheme for flow fields

Tanner, Roger I.; Huilgol, R. R.

doi:10.1007/bf01516297

Cited by 89 publications

(65 citation statements)

References 11 publications

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“…A rheological model for polyelectrolytes has been recently proposed by Dunlap and Leal [2] who used a Coulombic potential to account for electrostatic repulsive forces. The concept of isotropic but conformationdependent friction coefficient [4][5][6] has also been introduced into the setting of the FENE-P model [3] to represent the coil-stretch transition experienced by macromolecules during flow. The same physical hypothesis is introduced here in the generating function (the Helmholtz free energy).…”

Section: Fene-charged Potentialmentioning

confidence: 99%

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A rheological equation of state for dilute polymer solutions with applications to polyelectrolytes

1988

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A mathematical model based on the diffusion-convection equations is used to describe the rheological properties of dilute polymer solutions. The model uses a second-order conformation tensor as a measure of the internal strain; this avoids the mathematical complexity resulting from the use of a more detailed description of the macromolecules and also avoids the necessity of introducing additional ad-hoc assumptions (closure approximations) commonly used in other molecular theories. The theological equation is obtained in terms of the rate-of-deformation tensor ? and a scalar function f(~) relating the extra stress tensor o to the internal strain tensor c. The function f(~) depends on the physical insight introduced in the Helmholtz free energy A (c) of the solvent-polymer system. This approach is illustrated for an intra-molecular potential of a "FENE-charged" type. The concept of an isotropic, but conformation-dependent, friction coefficient, is also introduced to account for the "coil-stretch" transformation of macromolecules in solution. Viscosity and first normal-stress data, of partially hydrolyzed polyacrylamide solutions, (polyelectrolytes) are analyzed and compared to the model predictions in steady shear and elongational flows.

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Section: Fene-charged Potentialmentioning

confidence: 99%

“…Electrostatic repulsive forces and an isotropic, but conformationdependent, friction coefficient [3][4][5] have been included in the FENE-P model [6]. The model introduced in this paper uses the same basis as the one in [2].…”

Section: Introductionmentioning

confidence: 99%

A rheological equation of state for dilute polymer solutions with applications to polyelectrolytes

1988

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“…Keller and Odell [41] reviewed a good deal of experimental work which used extensional flow to elucidate the physics of macromolecules in solution. The ability of a flow to stretch and align macromolecules in solution or fibres in suspension has led to an approach to flow classification which uses the terms "strong" and "weak" for flows (corresponding to extension and simple shear respectively) [42,43]. Credit for raising the issue of floworientation of macromolecules appears to be due to Nitschmann and Schrade [44] in their work on the use of fibre spinning -the first since Trouton.…”

Section: Introductionmentioning

confidence: 99%

One hundred years of extensional flow

Petrie

2006

Journal of Non-Newtonian Fluid Mechanics

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This historical review takes a few selected issues from the rheological studies of extensional flow that fill the literature, starting with extracts from the seminal papers of Trouton (Proc. Roy. Soc. A77 (1906) 426-440) and Fano (Archivio di fisiologio, 5 (1908) 365-370). Work in the first half of the twentieth century on spinnability and extensional viscosity measurement is highlighted, followed by a discussion of the blossoming of studies on extensional flow. As a case study, a project on anti-misting additives in aviation fuel is taken; whether the rheology or the politics is the more interesting is an open question. Finally some current issues surrounding spinnability and other extensional flow phenomena are discussed.

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“…Only fresh solutions were used in the experiments. The ries, 10 mechanical models, 11 and molecular theories [12][13][14] have been used to understand some of solutions were prepared by adding a known amount of polymer powder to 1 L of double-disthe reported phenomena. However, many of the reported observations are still not clearly undertilled water at room temperature.…”

Section: Introductionmentioning

confidence: 99%

Rheological properties of aqueous polyacrylamide solutions

Ghannam

Esmail

1998

J. Appl. Polym. Sci.

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A comprehensive study of the rheological properties of aqueous polyacrylamide solutions was carried out. A RheoStress RS100 Haake rheometer was used in the measurements. The concentration of polyacrylamide ranged from 0.25 to 1.0% by weight. This range is sufficiently wide to cover many of the rheological features of polyacrylamide in the lower range of concentration. The study included measurements of steady shear flow parameters, transient shear stress response, yield stress, thixotropic behavior, creep recovery, dynamic responses, and temperature effects in the range 10-50ЊC.

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On a classification scheme for flow fields

Cited by 89 publications

References 11 publications

A rheological equation of state for dilute polymer solutions with applications to polyelectrolytes

A rheological equation of state for dilute polymer solutions with applications to polyelectrolytes

One hundred years of extensional flow

Rheological properties of aqueous polyacrylamide solutions

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