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Related Experiment Video

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Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

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Fluid dynamics of dilatant fluids.

Hiizu Nakanishi¹, Shin-ichiro Nagahiro, Namiko Mitarai

¹Department of Physics, Kyushu University 33, Fukuoka 812-8581, Japan.

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

|March 10, 2012

Summary

This study models dilatant fluids, explaining severe shear thickening behavior. The model captures discontinuous stress-shear rate curves, hysteresis, and oscillations in shear flow.

Area of Science:

Fluid Dynamics
Materials Science
Rheology

Background:

Dilatant fluids, dense mixtures of granules and liquid, exhibit severe shear thickening.
Understanding the complex rheological behavior of these fluids is crucial for various applications.

Purpose of the Study:

To develop a fluid dynamics model for dilatant fluids.
To incorporate a phenomenological state variable representing the local state of dispersed particles.

Main Methods:

Constructed a fluid dynamics model with a phenomenological state variable.
Applied simple assumptions for the equation of the state variable.
Performed numerical simulations in one- and two-dimensional systems.

Main Results:

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The model successfully describes discontinuous severe shear thickening and hysteresis in the stress-shear rate curve.
Demonstrated instantaneous hardening upon external impact.
Revealed shear thickening oscillations, where flow alternates between thickened and relaxed states.

Conclusions:

The developed model provides a framework for understanding dilatant fluid behavior.
The model predicts instabilities and oscillatory shear flow in dilatant fluids.
Numerical simulations validate the model's ability to capture key dilatant fluid phenomena.