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Viscoelastic flow simulations through an array of cylinders.

J J J Gillissen¹

¹Department of Chemical Engineering, Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 19, 2013

Summary

This study numerically models polymer solution flow in porous media, revealing nonmonotonic effective viscosity behavior. An analytical model accurately predicts these findings, particularly for large Weissenberg numbers.

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Area of Science:

Fluid dynamics
Polymer physics
Computational science

Background:

Understanding non-Newtonian fluid flow in porous media is crucial for applications like enhanced oil recovery and microfluidics.
Polymer solutions exhibit complex rheological behaviors, including shear-thinning and viscoelasticity, which significantly alter flow dynamics.

Purpose of the Study:

To numerically investigate the flow of polymer solutions through a model porous medium.
To analyze the nonmonotonic relationship between effective viscosity and the Weissenberg number.
To develop and validate an analytical model for polymer flow in porous media.

Main Methods:

Lattice Boltzmann method for simulating fluid flow.
Modeling polymers as finitely extensible, nonlinear, elastic dumbbells.
Developing an analytical model using rod approximations and flow field superposition.

Main Results:

Simulated effective viscosity shows nonmonotonic dependence on the Weissenberg number, aligning with experimental data.
The analytical model accurately reproduces simulated effective viscosity as a function of polymer extensibility for large Weissenberg numbers.

Conclusions:

The numerical and analytical models provide valuable insights into polymer solution flow in porous media.
The study highlights the importance of polymer elasticity and extensibility in determining effective viscosity.
Findings contribute to the fundamental understanding of non-Newtonian fluid behavior in complex geometries.