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A lattice Boltzmann method for dilute polymer solutions.

Shiwani Singh¹, Ganesh Subramanian, Santosh Ansumali

¹Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|May 4, 2011

Summary

This summary is machine-generated.

This study introduces a new lattice Boltzmann method for simulating non-Newtonian fluids like polymer solutions. The approach efficiently models fluid behavior, offering a cost-effective alternative to traditional simulation techniques.

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Area of Science:

Computational fluid dynamics
Polymer physics
Non-Newtonian fluid mechanics

Background:

Simulating non-Newtonian fluids, such as polymer solutions, presents significant computational challenges.
Existing methods like Brownian dynamics can be computationally expensive, especially for complex flow scenarios.

Purpose of the Study:

To develop and present a novel lattice Boltzmann approach for simulating non-Newtonian fluid dynamics.
To validate the method's accuracy and efficiency for dilute polymer solutions under shear flow.

Main Methods:

A lattice Boltzmann method incorporating a Bhatnagar-Gross-Krook (BGK) relaxation term.
The method solves the Fokker-Planck equation for polymer configuration probability density.
Simulations focus on steady and start-up shear flow of dilute polymer solutions.

Main Results:

The lattice Boltzmann method accurately captures the bulk rheological characteristics of polymer solutions.
Results show favorable agreement with established Brownian dynamics simulation outcomes.
The proposed method demonstrates improved computational efficiency compared to stochastic techniques, particularly at moderate Weissenberg numbers.

Conclusions:

The lattice Boltzmann approach provides an efficient and accurate tool for simulating non-Newtonian fluid dynamics.
This method offers a cost-effective alternative for studying polymer solution rheology.
The technique is particularly advantageous for simulations within a specific range of Weissenberg numbers.