Dissipative Effects in Odd Viscous Stokes Flow around a Single Sphere
Jeffrey C Everts1,2, Bogdan Cichocki1
1Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland.
Physical Review Letters
|June 10, 2024
Summary
Odd viscosity (OV) contributes to dissipation in 3D fluids, unlike in 2D. Researchers quantified this effect using a single spherical particle, offering new ways to measure OV and design complex fluid rheology.
Area of Science:
- Physics
- Fluid Dynamics
- Rheology
Background:
- Odd viscosity (OV) is a transport coefficient found in active matter and electron systems.
- OV does not cause dissipation in two-dimensional systems.
- Its role in three-dimensional dissipation remains less understood.
Purpose of the Study:
- To investigate the indirect contribution of odd viscosity to dissipation in three-dimensional fluids.
- To quantify the dissipation rate of a spherical particle in a fluid with odd viscosity.
- To propose a method for measuring odd viscosity effects and designing complex fluid rheology.
Main Methods:
- Exact analytical solution of generalized stationary creeping flow equations.
- Analysis of the solid-body motion of a single spherical particle.
- Theoretical modeling of fluid flow modification by odd viscosity.
Main Results:
- Odd viscosity indirectly contributes to dissipation in three-dimensional fluids by altering fluid flow.
- The dissipation rate of a spherical particle was precisely quantified.
- A direct correlation between particle motion and odd viscosity effects was established.
Conclusions:
- Measuring the solid-body motion of a single particle offers a novel method to quantify odd viscosity.
- Complex fluid rheology can be engineered by combining passive and active particles.
- This work clarifies the role of odd viscosity in three-dimensional dissipative processes.
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