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Newtonian Fluid: Problem Solving

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Related Experiment Video

Updated: May 13, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Transient shear banding in time-dependent fluids.

Xavier Illa¹, Antti Puisto, Arttu Lehtinen

¹Departament d'Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, Diagonal, 647, E-08028 Barcelona, Catalonia, Spain.

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

|March 19, 2013

Summary

This study explains transient shear banding in fluids using a simple rheological model. A positive feedback loop between flow and viscosity drives nonhomogeneous shear distribution, clarifying dynamic effects in time-dependent fluids.

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Area of Science:

Fluid dynamics
Rheology
Material science

Background:

Shear banding is a common phenomenon in complex fluids.
Understanding its dynamics is crucial for material processing and applications.
Previous models often simplified the interplay between local structure and flow.

Purpose of the Study:

To investigate the dynamics of shear-band formation and evolution.
To explain transient shear banding in time-dependent fluids.
To provide a simple rheological model for these phenomena.

Main Methods:

Utilized a simple rheological model coupled with local structure and viscosity.
Employed the Couette geometry for detailed analysis.
Solved the model iteratively with the Navier-Stokes equation.
Obtained time evolution of local velocity and viscosity fields.

Main Results:

Identified nonhomogeneous shear distribution as the cause of dynamic effects.
Demonstrated a positive feedback mechanism between flow field and shear-thinning fluid viscosity.
Successfully explained transient shear banding observations.

Conclusions:

The proposed model offers a straightforward explanation for transient shear banding.
The findings are applicable to various time-dependent fluids.
The model can be extended to more complex rheological systems.