# A charged finitely extensible dumbbell model: Explaining rheology of dilute polyelectrolyte solutions

@article{Shogin2019ACF, title={A charged finitely extensible dumbbell model: Explaining rheology of dilute polyelectrolyte solutions}, author={D. Shogin and Per Amund Amundsen}, journal={arXiv: Soft Condensed Matter}, year={2019} }

A robust model of dilute polyelectrolyte solutions is constructed based on kinetic theory arguments. The polyelectrolyte molecules are modelled by finitely elongated non-linear elastic dumbbells with beads carrying identical effective charges. The electric interaction between the beads is described in a simplified way through an electrostatic Coulomb force. With two pre-averaging approximations, the constitutive equations of the fluid model are formulated in closed form; and its rheological… Expand

#### One Citation

Start-up and cessation of steady shear and extensional flows: Exact analytical solutions for the affine linear Phan-Thien–Tanner fluid model

- Physics
- 2020

Exact analytical solutions for start-up and cessation flows are obtained for the affine linear Phan-Thien--Tanner fluid model. They include the results for start-up and cessation of steady shear… Expand

#### References

SHOWING 1-10 OF 73 REFERENCES

The charged dumbbell model for dilute polyelectrolyte solutions in strong flows

- Chemistry
- 1984

A charged dumbbell model is used to investigate the behavior of dilute polyelectrolyte solutions in a general linear two-dimensional flow. The model studied has a nonlinear spring, conformation… Expand

Kinetic theory and rheology of dilute solutions of flexible macromolecules. I. Steady state behavior

- Chemistry
- 1974

For a dilute solution of macromolecules idealized as elastic dumbbells with Brownian motion, expressions are obtained giving the stress tensor in terms of rate‐of‐strain tensors for an arbitrary,… Expand

Polymer solution rheology based on a finitely extensible bead—spring chain model

- Materials Science
- 1980

Abstract A complete rheological equation of state for dilute polymer solutions is obtained by modelling the polymer molecules as bead—spring chains, in which the springs are finitely extensible.… Expand

Electroviscous effect on the rheology of a dilute solution of flexible polyelectrolytes in extensional flow

- Materials Science
- 2001

This paper presents the first mathematical formulation for the effect of double layer deformation on the conformational and rheological behavior of a dilute solution of flexible polyelectrolytes. The… Expand

Kinetic theory and rheology of dilute solutions of flexible macromolecules. II. Linear viscoelasticity

- Physics
- 1974

For an arbitrary, time‐dependent, homogeneous flow, an expression is obtained for the stress tensor describing the behavior of a dilute solution of macromolecules idealized as elastic dumbbells with… Expand

Polyelectrolytes in shear and extensional flows: Conformation and rheology

- Chemistry
- 1998

The conformational and rheological dynamics of dilute solutions of polyelectrolyte macromolecules undergoing shear and extensional flow are modeled using Non-equilibrium Brownian Dynamics (NEBD) and… Expand

An experimental study of dilute polyelectrolyte solutions in strong flows

- Chemistry
- 1987

Flow-induced changes in the conformation of polymer molecules in dilute polyelectrolyte solutions were studied, using birefringence techniques, as a function of molecular weight and added salt… Expand

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

- Chemistry
- 1988

AbstractA 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… Expand

Computer simulations of diffusion and dynamics of short-chain polyelectrolytes.

- Chemistry, Medicine
- The Journal of chemical physics
- 2006

Brownian dynamics simulations are conducted to investigate the diffusional and dynamic properties of polyelectrolytes in dilute salt-free solutions and find that the dependence of the long-time chain diffusivity on the Coulomb interaction strength is very different from that of the Kirkwood short-time Diffusivity. Expand

Dilute Solution Viscoelasticity of Simple Ionic Polymers—A Theory for Charged Bead‐Spring Models

- Chemistry
- 1972

As part of a comprehensive study of the viscoelastic properties of ionic polymers, a theoretical investigation of the dilute solution viscoelasticity of simple ionic polymers was undertaken. The… Expand